Alkhutov, Yu. A.; D’Apice, C.; Kisatov, M. A.; Chechkina, A. G. On higher integrability of the gradient of solutions to the Zaremba problem for \(p\)-Laplace equation. (English. Russian original) Zbl 07786643 Dokl. Math. 108, No. 1, 282-285 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 47-51 (2023). MSC: 35J92 35J25 35B45 PDFBibTeX XMLCite \textit{Yu. A. Alkhutov} et al., Dokl. Math. 108, No. 1, 282--285 (2023; Zbl 07786643); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 47--51 (2023) Full Text: DOI
Medak, B.; Tret’yakov, A. A. On solution existence for a singular nonlinear Burgers equation with small parameter and \(p\)-regularity theory. (English. Russian original) Zbl 07786637 Dokl. Math. 108, No. 1, 243-247 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 5-9 (2023). MSC: 35K58 35K20 35B20 PDFBibTeX XMLCite \textit{B. Medak} and \textit{A. A. Tret'yakov}, Dokl. Math. 108, No. 1, 243--247 (2023; Zbl 07786637); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 5--9 (2023) Full Text: DOI
Apushkinskaya, D. E.; Nazarov, A. I.; Palagachev, D. K.; Softova, L. G. Nonstationary Venttsel problem with \(VMO_x\) leading coefficients. (English. Russian original) Zbl 1522.35300 Dokl. Math. 107, No. 2, 97-100 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 13-17 (2023). MSC: 35K20 35B45 35R05 PDFBibTeX XMLCite \textit{D. E. Apushkinskaya} et al., Dokl. Math. 107, No. 2, 97--100 (2023; Zbl 1522.35300); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 13--17 (2023) Full Text: DOI
Kozhanov, A. I. Nonlocal problems with generalized Samarskii-Ionkin condition for some classes of nonstationary differential equations. (English. Russian original) Zbl 1518.35431 Dokl. Math. 107, No. 1, 40-43 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 50-53 (2023). MSC: 35K20 35K70 PDFBibTeX XMLCite \textit{A. I. Kozhanov}, Dokl. Math. 107, No. 1, 40--43 (2023; Zbl 1518.35431); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 50--53 (2023) Full Text: DOI
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. Applications of Zvonkin’s transform to stationary Kolmogorov equations. (English. Russian original) Zbl 1506.35056 Dokl. Math. 106, No. 2, 318-321 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 20-24 (2022). MSC: 35J47 35A01 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 106, No. 2, 318--321 (2022; Zbl 1506.35056); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 20--24 (2022) Full Text: DOI
Zlotnik, A. A.; Chetverushkin, B. N. On second-order parabolic and hyperbolic perturbations of a first-order hyperbolic system. (English. Russian original) Zbl 1504.35414 Dokl. Math. 106, No. 2, 308-314 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 9-15 (2022). MSC: 35Q35 76N15 35B25 35L02 35L10 35K10 35D30 35D35 PDFBibTeX XMLCite \textit{A. A. Zlotnik} and \textit{B. N. Chetverushkin}, Dokl. Math. 106, No. 2, 308--314 (2022; Zbl 1504.35414); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 9--15 (2022) Full Text: DOI
Romanov, V. G. Ray statement of the acoustic tomography problem. (English. Russian original) Zbl 1498.35624 Dokl. Math. 106, No. 1, 254-258 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 50-55 (2022). MSC: 35R30 35L15 35L71 78A46 PDFBibTeX XMLCite \textit{V. G. Romanov}, Dokl. Math. 106, No. 1, 254--258 (2022; Zbl 1498.35624); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 50--55 (2022) Full Text: DOI
Smagin, S. I. On numerical solution of a first kind integral equation with a weak singularity in the kernel on a closed surface. (English. Russian original) Zbl 1498.35184 Dokl. Math. 106, No. 1, 220-224 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 14-18 (2022). MSC: 35J05 35J25 45Exx PDFBibTeX XMLCite \textit{S. I. Smagin}, Dokl. Math. 106, No. 1, 220--224 (2022; Zbl 1498.35184); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 14--18 (2022) Full Text: DOI
Romanov, V. G. An inverse problem for a semilinear wave equation. (English. Russian original) Zbl 1496.35455 Dokl. Math. 105, No. 3, 166-170 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 36-41 (2022). MSC: 35R30 35L15 35L71 35A02 PDFBibTeX XMLCite \textit{V. G. Romanov}, Dokl. Math. 105, No. 3, 166--170 (2022; Zbl 1496.35455); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 36--41 (2022) Full Text: DOI
Astashova, I. V.; Lashin, D. A.; Filinovskiy, A. V. On the extremum control problem with pointwise observation for a parabolic equation. (English. Russian original) Zbl 1496.35224 Dokl. Math. 105, No. 3, 158-161 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 28-31 (2022). MSC: 35K20 35Q93 93B05 PDFBibTeX XMLCite \textit{I. V. Astashova} et al., Dokl. Math. 105, No. 3, 158--161 (2022; Zbl 1496.35224); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 28--31 (2022) Full Text: DOI
Chechkina, A. G. Weakly singular Steklov condition in the multidimensional case. (English. Russian original) Zbl 1494.35021 Dokl. Math. 105, No. 2, 127-130 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 87-90 (2022). MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{A. G. Chechkina}, Dokl. Math. 105, No. 2, 127--130 (2022; Zbl 1494.35021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 87--90 (2022) Full Text: DOI
Solonukha, O. V. On periodic solutions of quasilinear parabolic equations with boundary conditions of Bitsadze-Samarskii type. (English. Russian original) Zbl 1497.35306 Dokl. Math. 105, No. 2, 123-126 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 83-86 (2022). MSC: 35K59 35D30 35K20 35B10 PDFBibTeX XMLCite \textit{O. V. Solonukha}, Dokl. Math. 105, No. 2, 123--126 (2022; Zbl 1497.35306); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 83--86 (2022) Full Text: DOI
Konenkov, A. N. Classical solutions of the first boundary value problem for parabolic systems on the plane. (English. Russian original) Zbl 1494.35092 Dokl. Math. 105, No. 2, 109-111 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 67-69 (2022). MSC: 35K45 35A01 35A02 35A09 PDFBibTeX XMLCite \textit{A. N. Konenkov}, Dokl. Math. 105, No. 2, 109--111 (2022; Zbl 1494.35092); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 67--69 (2022) Full Text: DOI
Kozhanov, A. I.; Artyushin, A. N.; Shubin, V. V. Boundary problems for parabolic equations with degenerate boundary condition of the third kind. (English. Russian original) Zbl 1494.35091 Dokl. Math. 105, No. 2, 106-108 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 64-66 (2022). MSC: 35K20 35A01 35A02 35K65 PDFBibTeX XMLCite \textit{A. I. Kozhanov} et al., Dokl. Math. 105, No. 2, 106--108 (2022; Zbl 1494.35091); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 64--66 (2022) Full Text: DOI
Baderko, E. A.; Sakharov, S. I. Uniqueness of solutions of initial-boundary value problems for parabolic systems with dini-continuous coefficients in domains on the plane. (English. Russian original) Zbl 1494.35004 Dokl. Math. 105, No. 2, 71-74 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 26-29 (2022). MSC: 35A02 35K51 PDFBibTeX XMLCite \textit{E. A. Baderko} and \textit{S. I. Sakharov}, Dokl. Math. 105, No. 2, 71--74 (2022; Zbl 1494.35004); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 26--29 (2022) Full Text: DOI
Levenshtam, V. B. Hyperbolic equation with rapidly oscillating data: reconstruction of the small lowest order coefficient and the right-hand side from partial asymptotics of the solution. (English. Russian original) Zbl 1491.35464 Dokl. Math. 105, No. 1, 28-30 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 34-36 (2022). MSC: 35R30 35C20 35L15 PDFBibTeX XMLCite \textit{V. B. Levenshtam}, Dokl. Math. 105, No. 1, 28--30 (2022; Zbl 1491.35464); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 34--36 (2022) Full Text: DOI
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape. (English. Russian original) Zbl 1491.35019 Dokl. Math. 105, No. 1, 6-13 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 11-18 (2022). MSC: 35B27 35J25 35Q93 PDFBibTeX XMLCite \textit{J. I. Díaz} et al., Dokl. Math. 105, No. 1, 6--13 (2022; Zbl 1491.35019); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 11--18 (2022) Full Text: DOI
Bogachev, V. I.; Shaposhnikov, S. V. Uniqueness of a probability solution to the Kolmogorov equation with a diffusion matrix satisfying Dini’s condition. (English. Russian original) Zbl 1486.35164 Dokl. Math. 104, No. 3, 322-325 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 11-15 (2021). MSC: 35J15 35J25 35A02 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{S. V. Shaposhnikov}, Dokl. Math. 104, No. 3, 322--325 (2021; Zbl 1486.35164); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 11--15 (2021) Full Text: DOI
Kon’kov, A. A. Comparison theorems for elliptic inequalities with lower-order derivatives that take into account the geometry of the domain. (English. Russian original) Zbl 1485.35089 Dokl. Math. 104, No. 2, 250-253 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 35-39 (2021). MSC: 35B51 35J25 35J62 35R45 PDFBibTeX XMLCite \textit{A. A. Kon'kov}, Dokl. Math. 104, No. 2, 250--253 (2021; Zbl 1485.35089); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 35--39 (2021) Full Text: DOI
Algazin, S. D. Numerical study of the Zaremba problem. (English. Russian original) Zbl 1485.35125 Dokl. Math. 104, No. 2, 225-228 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 5-9 (2021). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{S. D. Algazin}, Dokl. Math. 104, No. 2, 225--228 (2021; Zbl 1485.35125); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 5--9 (2021) Full Text: DOI
Chechkina, A. G. Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary. (English. Russian original) Zbl 1477.35108 Dokl. Math. 104, No. 1, 205-207 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 54-57 (2021). MSC: 35P15 35B27 35B45 35J25 PDFBibTeX XMLCite \textit{A. G. Chechkina}, Dokl. Math. 104, No. 1, 205--207 (2021; Zbl 1477.35108); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 54--57 (2021) Full Text: DOI
Zaitseva, N. V. Classical solutions of hyperbolic equations with nonlocal potentials. (English. Russian original) Zbl 1477.35102 Dokl. Math. 103, No. 3, 127-129 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 37-40 (2021). MSC: 35L10 35A09 35R10 PDFBibTeX XMLCite \textit{N. V. Zaitseva}, Dokl. Math. 103, No. 3, 127--129 (2021; Zbl 1477.35102); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 37--40 (2021) Full Text: DOI
Bekmaganbetov, K. A.; Chepyzhov, V. V.; Chechkin, G. A. On attractors of reaction-diffusion equations in a porous orthotropic medium. (English. Russian original) Zbl 1477.35035 Dokl. Math. 103, No. 3, 103-107 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 10-15 (2021). MSC: 35B41 35B27 35K20 35K57 35K58 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Dokl. Math. 103, No. 3, 103--107 (2021; Zbl 1477.35035); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 10--15 (2021) Full Text: DOI
Alkhutov, Yu. A.; Chechkin, G. A. Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation. (English. Russian original) Zbl 1479.35247 Dokl. Math. 103, No. 2, 69-71 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 3-6 (2021). MSC: 35J05 35J25 35B65 PDFBibTeX XMLCite \textit{Yu. A. Alkhutov} and \textit{G. A. Chechkin}, Dokl. Math. 103, No. 2, 69--71 (2021; Zbl 1479.35247); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 3--6 (2021) Full Text: DOI
Denisov, V. N. On stabilization of the Poisson integral and Tikhonov-Stieltjes means: two-sided estimate. (English. Russian original) Zbl 1477.35005 Dokl. Math. 103, No. 1, 32-34 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 40-43 (2021). MSC: 35A23 35K15 PDFBibTeX XMLCite \textit{V. N. Denisov}, Dokl. Math. 103, No. 1, 32--34 (2021; Zbl 1477.35005); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 40--43 (2021) Full Text: DOI
Podolskiy, A. V.; Shaposhnikova, T. A. Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case. (English. Russian original) Zbl 1479.35252 Dokl. Math. 102, No. 3, 497-501 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 59-64 (2020). MSC: 35J05 35J25 35B40 PDFBibTeX XMLCite \textit{A. V. Podolskiy} and \textit{T. A. Shaposhnikova}, Dokl. Math. 102, No. 3, 497--501 (2020; Zbl 1479.35252); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 59--64 (2020) Full Text: DOI
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V. The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation. (English. Russian original) Zbl 1477.35001 Dokl. Math. 102, No. 3, 464-467 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 22-25 (2020). MSC: 35A02 35K10 35Q84 35R06 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 102, No. 3, 464--467 (2020; Zbl 1477.35001); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 22--25 (2020) Full Text: DOI
Baderko, E. A.; Cherepova, M. F. Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries. (English. Russian original) Zbl 1477.35093 Dokl. Math. 102, No. 2, 357-359 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 5-8 (2020). MSC: 35K51 35A01 35A02 PDFBibTeX XMLCite \textit{E. A. Baderko} and \textit{M. F. Cherepova}, Dokl. Math. 102, No. 2, 357--359 (2020; Zbl 1477.35093); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 5--8 (2020) Full Text: DOI
Nefedov, N. N.; Rudenko, O. V. On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity. (English. Russian original) Zbl 1477.35017 Dokl. Math. 102, No. 1, 283-287 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 26-31 (2020). MSC: 35B25 35B44 35C20 35K20 35K58 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{O. V. Rudenko}, Dokl. Math. 102, No. 1, 283--287 (2020; Zbl 1477.35017); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 26--31 (2020) Full Text: DOI
Kovyrkina, O. A.; Ostapenko, V. V. Accuracy of MUSCL-type schemes in shock wave calculations. (English. Russian original) Zbl 1481.76153 Dokl. Math. 101, No. 3, 209-213 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 43-48 (2020). MSC: 76M20 76M12 76L05 PDFBibTeX XMLCite \textit{O. A. Kovyrkina} and \textit{V. V. Ostapenko}, Dokl. Math. 101, No. 3, 209--213 (2020; Zbl 1481.76153); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 43--48 (2020) Full Text: DOI
Chetverushkin, B. N.; Olkhovskaya, O. G. Modeling of radiative heat conduction on high-performance computing systems. (English. Russian original) Zbl 1528.65042 Dokl. Math. 101, No. 2, 172-175 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 111-114 (2020). MSC: 65M06 65Y05 80A21 80M20 35L10 35Q79 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{O. G. Olkhovskaya}, Dokl. Math. 101, No. 2, 172--175 (2020; Zbl 1528.65042); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 111--114 (2020) Full Text: DOI
Zaitseva, N. V. On global classical solutions of hyperbolic differential-difference equations. (English. Russian original) Zbl 1477.35101 Dokl. Math. 101, No. 2, 115-116 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 44-46 (2020). MSC: 35L10 35R10 PDFBibTeX XMLCite \textit{N. V. Zaitseva}, Dokl. Math. 101, No. 2, 115--116 (2020; Zbl 1477.35101); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 44--46 (2020) Full Text: DOI
Díaz, J. I.; Gómez-Castro, D.; Shaposhnikova, T. A.; Zubova, M. N. A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case. (English. Russian original) Zbl 1477.35020 Dokl. Math. 101, No. 2, 96-101 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 23-28 (2020). MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{J. I. Díaz} et al., Dokl. Math. 101, No. 2, 96--101 (2020; Zbl 1477.35020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 23--28 (2020) Full Text: DOI
Zlotnik, A. A.; Chetverushkin, B. N. Stability of numerical methods for solving second-order hyperbolic equations with a small parameter. (English. Russian original) Zbl 1528.65063 Dokl. Math. 101, No. 1, 30-35 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 35-41 (2020). MSC: 65M22 65N06 65N30 65M12 35L10 PDFBibTeX XMLCite \textit{A. A. Zlotnik} and \textit{B. N. Chetverushkin}, Dokl. Math. 101, No. 1, 30--35 (2020; Zbl 1528.65063); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 35--41 (2020) Full Text: DOI
Baev, A. D.; Chechin, D. A.; Zvereva, M. B.; Shabrov, S. A. Stieltjes differential in impulse nonlinear problems. (English. Russian original) Zbl 1486.34070 Dokl. Math. 101, No. 1, 5-8 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 9-12 (2020). Reviewer: Jan Tomeček (Olomouc) MSC: 34B37 34A06 PDFBibTeX XMLCite \textit{A. D. Baev} et al., Dokl. Math. 101, No. 1, 5--8 (2020; Zbl 1486.34070); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 9--12 (2020) Full Text: DOI
Rossovskii, L. E.; Tovsultanov, A. A. On the Dirichlet problem for an elliptic functional differential equation with affine transformations of the argument. (English. Russian original) Zbl 1442.35103 Dokl. Math. 100, No. 3, 551-553 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 4, 347-350 (2019). MSC: 35J25 PDFBibTeX XMLCite \textit{L. E. Rossovskii} and \textit{A. A. Tovsultanov}, Dokl. Math. 100, No. 3, 551--553 (2019; Zbl 1442.35103); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 4, 347--350 (2019) Full Text: DOI
Aliev, A. R.; Heydarov, R. J. Approximate solution of the boundary value problem for the Helmholtz equation with impedance condition. (English. Russian original) Zbl 1436.35074 Dokl. Math. 100, No. 2, 436-439 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 3, 233-236 (2019). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{A. R. Aliev} and \textit{R. J. Heydarov}, Dokl. Math. 100, No. 2, 436--439 (2019; Zbl 1436.35074); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 3, 233--236 (2019) Full Text: DOI
Krasovitskiĭ, T. I. Degenerate elliptic equations and nonuniqueness of solutions to the Kolmogorov equation. (English. Russian original) Zbl 1433.35018 Dokl. Math. 100, No. 1, 354-357 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 4, 361-364 (2019). MSC: 35J05 35J15 35A02 PDFBibTeX XMLCite \textit{T. I. Krasovitskiĭ}, Dokl. Math. 100, No. 1, 354--357 (2019; Zbl 1433.35018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 4, 361--364 (2019) Full Text: DOI
Zubova, M. N.; Shaposhnikova, T. A. Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. (English. Russian original) Zbl 1428.35031 Dokl. Math. 99, No. 3, 245-251 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 1, 12-19 (2019). MSC: 35B27 35K20 PDFBibTeX XMLCite \textit{M. N. Zubova} and \textit{T. A. Shaposhnikova}, Dokl. Math. 99, No. 3, 245--251 (2019; Zbl 1428.35031); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 1, 12--19 (2019) Full Text: DOI
Belyaeva, Yu. O.; Skubachevskii, A. L. On classical solutions to the first mixed problem for the Vlasov-Poisson system in an infinite cylinder. (English. Russian original) Zbl 1422.35012 Dokl. Math. 99, No. 1, 87-90 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 6, 663-666 (2019). MSC: 35J05 35J47 PDFBibTeX XMLCite \textit{Yu. O. Belyaeva} and \textit{A. L. Skubachevskii}, Dokl. Math. 99, No. 1, 87--90 (2019; Zbl 1422.35012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 6, 663--666 (2019) Full Text: DOI
Egorova, Alena N.; Zhukovskii, M. E. Disproof of the zero-one law for existential monadic properties of a sparse binomial random graph. (English. Russian original) Zbl 1423.05153 Dokl. Math. 99, No. 1, 68-70 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 5, 519-522 (2019). MSC: 05C80 05C42 03C13 PDFBibTeX XMLCite \textit{A. N. Egorova} and \textit{M. E. Zhukovskii}, Dokl. Math. 99, No. 1, 68--70 (2019; Zbl 1423.05153); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 5, 519--522 (2019) Full Text: DOI
Khromov, A. P.; Kornev, V. V. Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation. (English. Russian original) Zbl 1419.35134 Dokl. Math. 99, No. 1, 11-13 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 1, 18-20 (2019). MSC: 35L20 35L05 PDFBibTeX XMLCite \textit{A. P. Khromov} and \textit{V. V. Kornev}, Dokl. Math. 99, No. 1, 11--13 (2019; Zbl 1419.35134); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 1, 18--20 (2019) Full Text: DOI
Zhukovskii, M. E.; Popova, S. N. A disproof the Le Bars conjecture about the zero-one law for existential monadic second-order sentences. (English. Russian original) Zbl 1484.03072 Dokl. Math. 98, No. 3, 638-640 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 6, 600-602 (2018). MSC: 03C85 03C13 05C80 60F20 PDFBibTeX XMLCite \textit{M. E. Zhukovskii} and \textit{S. N. Popova}, Dokl. Math. 98, No. 3, 638--640 (2018; Zbl 1484.03072); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 6, 600--602 (2018) Full Text: DOI
Dubravina, V. A. Feynman formulas for solutions to evolution equations in domains of multidimensional ramified surfaces. (English. Russian original) Zbl 1507.35096 Dokl. Math. 98, No. 3, 612-615 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 5, 477-481 (2018). MSC: 35K10 PDFBibTeX XMLCite \textit{V. A. Dubravina}, Dokl. Math. 98, No. 3, 612--615 (2018; Zbl 1507.35096); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 5, 477--481 (2018) Full Text: DOI
Aliev, A. B.; Isayeva, S. E. The existence and behavior of global solutions to a mixed problem with acoustic transmission conditions for nonlinear hyperbolic equations with nonlinear dissipation. (English. Russian original) Zbl 1409.35136 Dokl. Math. 98, No. 3, 555-558 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 121-124 (2018). MSC: 35L53 76Q05 35L71 35B40 35B44 PDFBibTeX XMLCite \textit{A. B. Aliev} and \textit{S. E. Isayeva}, Dokl. Math. 98, No. 3, 555--558 (2018; Zbl 1409.35136); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 121--124 (2018) Full Text: DOI
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A. Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case. (English) Zbl 1403.35033 Dokl. Math. 97, No. 3, 271-276 (2018) and Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 6, 644-649 (2018). MSC: 35B27 35J25 35J05 PDFBibTeX XMLCite \textit{J. I. Díaz} et al., Dokl. Math. 97, No. 3, 271--276 (2018; Zbl 1403.35033) Full Text: DOI
Agadzhanov, A. N. Everywhere differentiable functions without monotonicity intervals and transcendental numbers. (English. Russian original) Zbl 1415.26002 Dokl. Math. 97, No. 3, 219-222 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 2, 137-140 (2018). MSC: 26A30 26A24 35K20 49N60 PDFBibTeX XMLCite \textit{A. N. Agadzhanov}, Dokl. Math. 97, No. 3, 219--222 (2018; Zbl 1415.26002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 2, 137--140 (2018) Full Text: DOI
Nefedov, N. N.; Rudenko, O. V. On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification. (English. Russian original) Zbl 1391.35030 Dokl. Math. 97, No. 1, 99-103 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 3, 274-279 (2018). MSC: 35B25 35B44 35K58 35K20 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{O. V. Rudenko}, Dokl. Math. 97, No. 1, 99--103 (2018; Zbl 1391.35030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 3, 274--279 (2018) Full Text: DOI
Amosov, A. A.; Panasenko, G. P. Partial decomposition of a domain containing thin tubes for solving the heat equation. (English. Russian original) Zbl 1516.35218 Dokl. Math. 97, No. 1, 69-72 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 5, 509-512 (2018). MSC: 35K20 35K05 PDFBibTeX XMLCite \textit{A. A. Amosov} and \textit{G. P. Panasenko}, Dokl. Math. 97, No. 1, 69--72 (2018; Zbl 1516.35218); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 5, 509--512 (2018) Full Text: DOI
Skubachevskii, A. L. The Kato conjecture for elliptic differential-difference operators with degeneration in a cylinder. (English. Russian original) Zbl 1445.35138 Dokl. Math. 97, No. 1, 32-34 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 2, 145-147 (2018). MSC: 35J15 PDFBibTeX XMLCite \textit{A. L. Skubachevskii}, Dokl. Math. 97, No. 1, 32--34 (2018; Zbl 1445.35138); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 2, 145--147 (2018) Full Text: DOI
Vasiljeva, O. A.; Lapshin, E. A.; Rudenko, O. V. Projection of the Khokhlov-Zabolotskaya equation on the axis of wave beam as a model of nonlinear diffraction. (English) Zbl 1391.35257 Dokl. Math. 96, No. 3, 646-649 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 3, 286-290 (2017). MSC: 35L10 76L05 76Q05 PDFBibTeX XMLCite \textit{O. A. Vasiljeva} et al., Dokl. Math. 96, No. 3, 646--649 (2017; Zbl 1391.35257); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 3, 286--290 (2017) Full Text: DOI
Podolskiy, A. V.; Shaposhnikova, T. A. Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case. (English) Zbl 1391.35041 Dokl. Math. 96, No. 3, 601-606 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 5, 516-522 (2017). MSC: 35B27 35J25 35J05 35J65 PDFBibTeX XMLCite \textit{A. V. Podolskiy} and \textit{T. A. Shaposhnikova}, Dokl. Math. 96, No. 3, 601--606 (2017; Zbl 1391.35041); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 5, 516--522 (2017) Full Text: DOI
Petrushko, I. M. On boundary and initial values of solutions of a second-order parabolic equation that degenerate on the domain boundary. (English. Russian original) Zbl 1516.35249 Dokl. Math. 96, No. 3, 568-570 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 2, 150-152 (2017). MSC: 35K65 35K20 PDFBibTeX XMLCite \textit{I. M. Petrushko}, Dokl. Math. 96, No. 3, 568--570 (2017; Zbl 1516.35249); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 2, 150--152 (2017) Full Text: DOI
Chechkina, A. G. Estimate of the spectrum deviation of the singularly perturbed Steklov problem. (English. Russian original) Zbl 1516.35277 Dokl. Math. 96, No. 2, 510-513 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 6, 621-624 (2017). MSC: 35P15 35B25 35J25 PDFBibTeX XMLCite \textit{A. G. Chechkina}, Dokl. Math. 96, No. 2, 510--513 (2017; Zbl 1516.35277); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 6, 621--624 (2017) Full Text: DOI
Baderko, E. A.; Cherepova, M. F. Dirichlet problem for parabolic systems with Dini continuous coefficients on the plane. (English. Russian original) Zbl 1516.35227 Dokl. Math. 96, No. 2, 423-426 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 1, 7-10 (2017). MSC: 35K51 35R05 PDFBibTeX XMLCite \textit{E. A. Baderko} and \textit{M. F. Cherepova}, Dokl. Math. 96, No. 2, 423--426 (2017; Zbl 1516.35227); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 1, 7--10 (2017) Full Text: DOI
Tunitsky, D. V. On global solvability of initial value problem for hyperbolic Monge-Ampère equations and systems. (English, Russian) Zbl 1375.35269 Dokl. Math. 96, No. 1, 377-379 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 5, 500-502 (2016). MSC: 35L15 35L70 PDFBibTeX XMLCite \textit{D. V. Tunitsky}, Dokl. Math. 96, No. 1, 377--379 (2017; Zbl 1375.35269); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 5, 500--502 (2016) Full Text: DOI
Zubova, M. N.; Shaposhnikova, T. A. Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case. (English. Russian original) Zbl 1375.35030 Dokl. Math. 96, No. 1, 344-347 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 3, 247-250 (2016). MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{M. N. Zubova} and \textit{T. A. Shaposhnikova}, Dokl. Math. 96, No. 1, 344--347 (2017; Zbl 1375.35030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 3, 247--250 (2016) Full Text: DOI
Denisov, V. N. On long-time asymptotics of solutions of parabolic equations with increasing leading coefficients. (English. Russian original) Zbl 1516.35076 Dokl. Math. 96, No. 1, 308-311 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 10-13 (2016). MSC: 35B40 35K15 PDFBibTeX XMLCite \textit{V. N. Denisov}, Dokl. Math. 96, No. 1, 308--311 (2017; Zbl 1516.35076); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 10--13 (2016) Full Text: DOI
Khromov, A. P. Mixed problem for the wave equation with a summable potential and nonzero initial velocity. (English. Russian original) Zbl 1373.35186 Dokl. Math. 95, No. 3, 273-275 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 6, 668-670 (2017). MSC: 35L20 35A09 35C10 PDFBibTeX XMLCite \textit{A. P. Khromov}, Dokl. Math. 95, No. 3, 273--275 (2017; Zbl 1373.35186); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 6, 668--670 (2017) Full Text: DOI
Petrov, P. S.; Sergeev, S. A.; Tolchennikov, A. A. Modeling of acoustic pulse signal propagation in deep sea using the Maslov canonical operator. (English. Russian original) Zbl 1431.76113 Dokl. Math. 95, No. 2, 181-184 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 2, 142-145 (2017). MSC: 76Q05 35L15 PDFBibTeX XMLCite \textit{P. S. Petrov} et al., Dokl. Math. 95, No. 2, 181--184 (2017; Zbl 1431.76113); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 2, 142--145 (2017) Full Text: DOI
Bragin, Michael D.; Rogov, Boris V. Iterative approximate factorization for difference operators of high-order bicompact schemes for multidimensional nonhomogeneous hyperbolic systems. (English. Russian original) Zbl 1371.65079 Dokl. Math. 95, No. 2, 140-143 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 3, 7-11 (2017). MSC: 65M06 65M12 35L72 PDFBibTeX XMLCite \textit{M. D. Bragin} and \textit{B. V. Rogov}, Dokl. Math. 95, No. 2, 140--143 (2017; Zbl 1371.65079); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 3, 7--11 (2017) Full Text: DOI
Chechkin, A. G.; Shamaev, A. S. On the fundamental solution of the Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1372.35303 Dokl. Math. 95, No. 1, 55-59 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 383-387 (2017). MSC: 35Q84 35K10 35C05 82C31 PDFBibTeX XMLCite \textit{A. G. Chechkin} and \textit{A. S. Shamaev}, Dokl. Math. 95, No. 1, 55--59 (2017; Zbl 1372.35303); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 383--387 (2017) Full Text: DOI
Konenkov, A. N. Model oblique derivative problem for the heat equation with a discontinuous boundary function. (English. Russian original) Zbl 1372.35129 Dokl. Math. 94, No. 3, 646-648 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 3, 267-269 (2016). MSC: 35K20 35A02 PDFBibTeX XMLCite \textit{A. N. Konenkov}, Dokl. Math. 94, No. 3, 646--648 (2016; Zbl 1372.35129); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 3, 267--269 (2016) Full Text: DOI
Mirzoev, S. S.; Aliev, A. R.; Gasimova, G. M. Solvability conditions of a boundary value problem with operator coefficients and related estimates of the norms of intermediate derivative operators. (English. Russian original) Zbl 1361.35055 Dokl. Math. 94, No. 2, 566-568 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 5, 511-513 (2016). Reviewer: Lubomira Softova (Aversa) MSC: 35J25 47A50 PDFBibTeX XMLCite \textit{S. S. Mirzoev} et al., Dokl. Math. 94, No. 2, 566--568 (2016; Zbl 1361.35055); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 5, 511--513 (2016) Full Text: DOI
Baderko, E. A.; Cherepova, M. F. Uniqueness of a solution to the Cauchy problem for parabolic systems. (English. Russian original) Zbl 1351.35006 Dokl. Math. 93, No. 3, 316-317 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 607-608 (2016). Reviewer: Vincenzo Vespri (Firenze) MSC: 35A02 35K10 PDFBibTeX XMLCite \textit{E. A. Baderko} and \textit{M. F. Cherepova}, Dokl. Math. 93, No. 3, 316--317 (2016; Zbl 1351.35006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 607--608 (2016) Full Text: DOI
Khromov, A. P.; Kornev, V. V. Mixed problem for the inhomogeneous wave equation with a summable potential. (English. Russian original) Zbl 1353.35190 Dokl. Math. 93, No. 3, 313-315 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 5, 505-507 (2016). MSC: 35L20 35C10 PDFBibTeX XMLCite \textit{A. P. Khromov} and \textit{V. V. Kornev}, Dokl. Math. 93, No. 3, 313--315 (2016; Zbl 1353.35190); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 5, 505--507 (2016) Full Text: DOI
Khromov, A. P. Behavior of the formal Fourier solution of the wave equation with a summable potential. (English. Russian original) Zbl 1347.35070 Dokl. Math. 93, No. 2, 190-192 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 4, 389-391 (2016). MSC: 35C10 35L20 35D30 PDFBibTeX XMLCite \textit{A. P. Khromov}, Dokl. Math. 93, No. 2, 190--192 (2016; Zbl 1347.35070); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 4, 389--391 (2016) Full Text: DOI
Shishkin, G. I. Standard finite difference scheme for a singularly perturbed elliptic convection-diffusion equation on a rectangle under computer perturbations. (English. Russian original) Zbl 1344.65102 Dokl. Math. 93, No. 2, 179-182 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 3, 271-274 (2016). MSC: 65N06 35J25 35N25 65N12 PDFBibTeX XMLCite \textit{G. I. Shishkin}, Dokl. Math. 93, No. 2, 179--182 (2016; Zbl 1344.65102); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 3, 271--274 (2016) Full Text: DOI
Konenkov, A. N. Model oblique derivative problem for the heat equation in the Zygmund space \(H_1\). (English. Russian original) Zbl 1342.35133 Dokl. Math. 93, No. 1, 20-22 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 2, 141-143 (2016). Reviewer: Lubomira Softova (Aversa) MSC: 35K20 35K10 PDFBibTeX XMLCite \textit{A. N. Konenkov}, Dokl. Math. 93, No. 1, 20--22 (2016; Zbl 1342.35133); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 2, 141--143 (2016) Full Text: DOI
Nazarov, A. I.; Paletskikh, A. A. On the Hölder continuity of solutions of the Venttsel’ elliptic problem. (English. Russian original) Zbl 1341.35033 Dokl. Math. 92, No. 3, 747-751 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 532-536 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 35J25 35B65 35R05 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{A. A. Paletskikh}, Dokl. Math. 92, No. 3, 747--751 (2015; Zbl 1341.35033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 532--536 (2015) Full Text: DOI
Burlutskaya, M. Sh. Fourier method in a mixed problem for the wave equation on a graph. (English. Russian original) Zbl 1381.35198 Dokl. Math. 92, No. 3, 735-738 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 519-522 (2015). MSC: 35R02 35L20 35L05 42A20 PDFBibTeX XMLCite \textit{M. Sh. Burlutskaya}, Dokl. Math. 92, No. 3, 735--738 (2015; Zbl 1381.35198); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 519--522 (2015) Full Text: DOI
Aliev, A. B.; Pashayev, A. F. Cauchy problem for a class of fourth-order semilinear pseudohyperbolic equations with structural damping. (English. Russian original) Zbl 1339.35194 Dokl. Math. 92, No. 3, 651-654 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 1, 7-10 (2015). MSC: 35L82 35L15 35L71 35B44 35B33 PDFBibTeX XMLCite \textit{A. B. Aliev} and \textit{A. F. Pashayev}, Dokl. Math. 92, No. 3, 651--654 (2015; Zbl 1339.35194); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 1, 7--10 (2015) Full Text: DOI
Romanov, V. G. An asymptotic expansion of the fundamental solution for a parabolic equation and inverse problems. (English. Russian original) Zbl 1331.35158 Dokl. Math. 92, No. 2, 541-544 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 141-144 (2015). MSC: 35K15 35R30 35C20 PDFBibTeX XMLCite \textit{V. G. Romanov}, Dokl. Math. 92, No. 2, 541--544 (2015; Zbl 1331.35158); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 141--144 (2015) Full Text: DOI
Soldatov, A. P. Explicit description of generalized double-layer potentials for the Lamé system. (English. Russian original) Zbl 1328.35022 Dokl. Math. 92, No. 1, 487-490 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 5, 526-529 (2015). MSC: 35J15 PDFBibTeX XMLCite \textit{A. P. Soldatov}, Dokl. Math. 92, No. 1, 487--490 (2015; Zbl 1328.35022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 5, 526--529 (2015) Full Text: DOI
Stepin, A. M.; Tsylin, I. V. On boundary value problems for elliptic operators in the case of domains on manifolds. (English. Russian original) Zbl 1328.35034 Dokl. Math. 92, No. 1, 428-432 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 144-148 (2015). MSC: 35J25 35R01 35P05 58J05 PDFBibTeX XMLCite \textit{A. M. Stepin} and \textit{I. V. Tsylin}, Dokl. Math. 92, No. 1, 428--432 (2015; Zbl 1328.35034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 144--148 (2015) Full Text: DOI
Rukavishnikov, V. A.; Nikolaev, S. G. On the \(R_\nu\)-generalized solution of the Lamé system with corner singularity. (English. Russian original) Zbl 1328.35033 Dokl. Math. 92, No. 1, 421-423 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 137-139 (2015). MSC: 35J25 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{S. G. Nikolaev}, Dokl. Math. 92, No. 1, 421--423 (2015; Zbl 1328.35033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 137--139 (2015) Full Text: DOI
Cherepova, M. F. The Cauchy problem for parabolic equations with unbounded coefficients. (English. Russian original) Zbl 1332.35137 Dokl. Math. 91, No. 3, 364-366 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 5, 529-531 (2015). MSC: 35K15 35K20 35B40 35B45 35A01 PDFBibTeX XMLCite \textit{M. F. Cherepova}, Dokl. Math. 91, No. 3, 364--366 (2015; Zbl 1332.35137); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 5, 529--531 (2015) Full Text: DOI
Chetverushkin, B. N.; D’Ascenzo, N.; Saveliev, V. I. Three-level scheme for solving parabolic and elliptic equations. (English. Russian original) Zbl 1325.65145 Dokl. Math. 91, No. 3, 341-343 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 4, 404-407 (2015). MSC: 65N06 35J05 65M06 35K20 65N12 65M12 65Y05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} et al., Dokl. Math. 91, No. 3, 341--343 (2015; Zbl 1325.65145); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 4, 404--407 (2015) Full Text: DOI
Khromov, A. P. Mixed problem for the wave equation with arbitrary two-point boundary conditions. (English. Russian original) Zbl 1327.35234 Dokl. Math. 91, No. 3, 294-296 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 2, 148-150 (2015). Reviewer: Lutz Recke (Berlin) MSC: 35L20 35C10 35C15 35A09 PDFBibTeX XMLCite \textit{A. P. Khromov}, Dokl. Math. 91, No. 3, 294--296 (2015; Zbl 1327.35234); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 2, 148--150 (2015) Full Text: DOI
Shishkin, G. I. Standard scheme for a singularly perturbed parabolic convection-diffusion equation with computer perturbations. (English. Russian original) Zbl 1325.65126 Dokl. Math. 91, No. 3, 273-276 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 1, 26-29 (2015). MSC: 65M06 35K20 35B25 PDFBibTeX XMLCite \textit{G. I. Shishkin}, Dokl. Math. 91, No. 3, 273--276 (2015; Zbl 1325.65126); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 1, 26--29 (2015) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. On a homogenization method for differential operators with oscillating coefficients. (English. Russian original) Zbl 1326.35022 Dokl. Math. 91, No. 2, 227-231 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 516-520 (2015). MSC: 35B27 35L15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Dokl. Math. 91, No. 2, 227--231 (2015; Zbl 1326.35022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 516--520 (2015) Full Text: DOI
Denisov, V. N. Stabilization of the solution of the Cauchy problem for a parabolic equation with bounded coefficients multiplying the solution gradient. (English. Russian original) Zbl 1332.35139 Dokl. Math. 91, No. 1, 47-49 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 3, 266-268 (2015). MSC: 35K15 35K20 35B35 35B40 PDFBibTeX XMLCite \textit{V. N. Denisov}, Dokl. Math. 91, No. 1, 47--49 (2015; Zbl 1332.35139); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 3, 266--268 (2015) Full Text: DOI
Aliev, A. B.; Kazimov, A. A. The existence and nonexistence of global solutions of the Cauchy problem for Klein-Gordon systems. (English. Russian original) Zbl 1325.35117 Dokl. Math. 90, No. 3, 680-682 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 2, 137-139 (2014). MSC: 35L52 35L71 35B44 PDFBibTeX XMLCite \textit{A. B. Aliev} and \textit{A. A. Kazimov}, Dokl. Math. 90, No. 3, 680--682 (2014; Zbl 1325.35117); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 2, 137--139 (2014) Full Text: DOI
Baderko, E. A.; Cherepova, M. F. The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundaries. (English. Russian original) Zbl 1409.35100 Dokl. Math. 90, No. 2, 573-575 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 4, 379-381 (2014). MSC: 35K51 35A01 PDFBibTeX XMLCite \textit{E. A. Baderko} and \textit{M. F. Cherepova}, Dokl. Math. 90, No. 2, 573--575 (2014; Zbl 1409.35100); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 4, 379--381 (2014) Full Text: DOI
Rukavishnikov, V. A. On the existence and uniqueness of an \(R_\nu\)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data. (English. Russian original) Zbl 1308.35059 Dokl. Math. 90, No. 2, 562-564 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 261-263 (2014). MSC: 35D30 35J25 35J70 35J75 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov}, Dokl. Math. 90, No. 2, 562--564 (2014; Zbl 1308.35059); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 261--263 (2014) Full Text: DOI
Burlutskaya, M. Sh.; Khromov, A. P. Resolvent approach in the Fourier method. (English. Russian original) Zbl 1308.35128 Dokl. Math. 90, No. 2, 545-548 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 138-140 (2014). MSC: 35L20 34L05 35C10 42A20 PDFBibTeX XMLCite \textit{M. Sh. Burlutskaya} and \textit{A. P. Khromov}, Dokl. Math. 90, No. 2, 545--548 (2014; Zbl 1308.35128); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 138--140 (2014) Full Text: DOI
Noarov, A. I. A system of elliptic equations for probability measures. (English. Russian original) Zbl 1479.35346 Dokl. Math. 90, No. 2, 529-534 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 1, 12-17 (2014). MSC: 35J47 35A01 PDFBibTeX XMLCite \textit{A. I. Noarov}, Dokl. Math. 90, No. 2, 529--534 (2014; Zbl 1479.35346); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 1, 12--17 (2014) Full Text: DOI
Aliev, Z. S.; Mehraliev, Ya. T. An inverse boundary value problem for a second-order hyperbolic equation with nonclassical boundary conditions. (English. Russian original) Zbl 1515.35333 Dokl. Math. 90, No. 1, 513-517 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 4, 398-402 (2014). MSC: 35R30 35L20 PDFBibTeX XMLCite \textit{Z. S. Aliev} and \textit{Ya. T. Mehraliev}, Dokl. Math. 90, No. 1, 513--517 (2014; Zbl 1515.35333); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 4, 398--402 (2014) Full Text: DOI
Kashchenko, S. A. Dynamics of a second-order nonlinear equation with a large coefficient of delay control. (English. Russian original) Zbl 1312.34113 Dokl. Math. 90, No. 1, 503-506 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 6, 635-638 (2014). Reviewer: Robert Vrabel (Trnava) MSC: 34K26 34K33 34K35 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Dokl. Math. 90, No. 1, 503--506 (2014; Zbl 1312.34113); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 6, 635--638 (2014) Full Text: DOI
Vabishchevich, P. N. Explicit schemes for parabolic equations. (English. Russian original) Zbl 1305.65189 Dokl. Math. 90, No. 1, 429-431 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 2, 141-143 (2014). MSC: 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Dokl. Math. 90, No. 1, 429--431 (2014; Zbl 1305.65189); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 2, 141--143 (2014) Full Text: DOI
Bunina, E. I.; Mikhalev, A. V.; Roizner, M. A. A criterion for the elementary equivalence of endomorphism rings and automorphism groups of Abelian \(p\)-groups. (English. Russian original) Zbl 1306.20038 Dokl. Math. 90, No. 1, 399-400 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 1, 11-12 (2014). MSC: 20F28 03C60 03C85 20K10 20K30 20A15 16S50 PDFBibTeX XMLCite \textit{E. I. Bunina} et al., Dokl. Math. 90, No. 1, 399--400 (2014; Zbl 1306.20038); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 1, 11--12 (2014) Full Text: DOI
Vagabov, A. I.; Abud, A. H. Variable separation method in solving multidimensional mixed problems with separable variables. (English. Russian original) Zbl 1304.35206 Dokl. Math. 89, No. 3, 263-266 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 7-10 (2014). MSC: 35C10 35P05 35L20 PDFBibTeX XMLCite \textit{A. I. Vagabov} and \textit{A. H. Abud}, Dokl. Math. 89, No. 3, 263--266 (2014; Zbl 1304.35206); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 7--10 (2014) Full Text: DOI
Imomnazarov, Kh. Kh.; Imomnazarov, Sh. Kh.; Korobov, P. V.; Kholmurodov, A. E. Direct and inverse problems for nonlinear one-dimensional poroelasticity equations. (English. Russian original) Zbl 1303.35071 Dokl. Math. 89, No. 2, 250-252 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 6, 640-642 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q35 35R30 35L20 74F10 PDFBibTeX XMLCite \textit{Kh. Kh. Imomnazarov} et al., Dokl. Math. 89, No. 2, 250--252 (2014; Zbl 1303.35071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 6, 640--642 (2014) Full Text: DOI
Nikolaeva, O. A.; Shugaev, F. V. Analytic solution to the problem of the Gaussian beam propagation through nonuniform gas. (English. Russian original) Zbl 1301.35169 Dokl. Math. 89, No. 2, 242-244 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 4, 398-400 (2014). MSC: 35Q60 35K10 45D05 78A40 PDFBibTeX XMLCite \textit{O. A. Nikolaeva} and \textit{F. V. Shugaev}, Dokl. Math. 89, No. 2, 242--244 (2014; Zbl 1301.35169); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 4, 398--400 (2014) Full Text: DOI
Vabishchevich, P. N.; Vasil’ev, V. I. Computational determination of the lowest order coefficient in a parabolic equation. (English. Russian original) Zbl 1301.65103 Dokl. Math. 89, No. 2, 179-181 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 3, 258-259 (2014). MSC: 65M32 35K10 35R30 65M60 PDFBibTeX XMLCite \textit{P. N. Vabishchevich} and \textit{V. I. Vasil'ev}, Dokl. Math. 89, No. 2, 179--181 (2014; Zbl 1301.65103); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 3, 258--259 (2014) Full Text: DOI
Kudinov, A. F.; Zadorozhnii, V. G. Linear difference equations with variable coefficients. (English) Zbl 1297.39003 Dokl. Math. 89, No. 1, 103-105 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 5, 523-525 (2014). MSC: 39A06 PDFBibTeX XMLCite \textit{A. F. Kudinov} and \textit{V. G. Zadorozhnii}, Dokl. Math. 89, No. 1, 103--105 (2014; Zbl 1297.39003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 5, 523--525 (2014) Full Text: DOI
Gol’dman, N. L. On a counterexample of inverse parabolic problems with final overdetermination. (English. Russian original) Zbl 1301.35211 Dokl. Math. 88, No. 3, 714-716 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 5, 479-481 (2013). Reviewer: Dinh Nho Hào (Hanoi) MSC: 35R30 35K10 PDFBibTeX XMLCite \textit{N. L. Gol'dman}, Dokl. Math. 88, No. 3, 714--716 (2013; Zbl 1301.35211); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 5, 479--481 (2013) Full Text: DOI
Kostin, A. B. Complex eigenvalues of elliptic operators and an example of inverse problem with nonunique solution. (English. Russian original) Zbl 1301.47029 Dokl. Math. 88, No. 3, 651-654 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 2, 138-141 (2013). Reviewer: Shuji Watanabe (Maebashi) MSC: 47B06 35J25 PDFBibTeX XMLCite \textit{A. B. Kostin}, Dokl. Math. 88, No. 3, 651--654 (2013; Zbl 1301.47029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 2, 138--141 (2013) Full Text: DOI
Kalitkin, N. N.; Belov, A. A. Analogue of the Richardson method for logarithmically converging time marching. (English. Russian original) Zbl 1281.65137 Dokl. Math. 88, No. 2, 596-600 (2013); translation from Dokl. Akad. Nauk. 452, No. 3, 261-265 (2013). MSC: 65N06 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{N. N. Kalitkin} and \textit{A. A. Belov}, Dokl. Math. 88, No. 2, 596--600 (2013; Zbl 1281.65137); translation from Dokl. Akad. Nauk. 452, No. 3, 261--265 (2013) Full Text: DOI
Alkhutov, Yu. A.; Denisov, V. N. Necessary and sufficient condition for the stabilization of the solution to the initial-boundary value problem for second-order nondivergence parabolic equations. (English. Russian original) Zbl 1277.35050 Dokl. Math. 88, No. 1, 381-384 (2013); translation from Dokl. Akad. Nauk, 451, No. 1, 7-10 (2013). MSC: 35B40 35K20 35K08 PDFBibTeX XMLCite \textit{Yu. A. Alkhutov} and \textit{V. N. Denisov}, Dokl. Math. 88, No. 1, 381--384 (2013; Zbl 1277.35050); translation from Dokl. Akad. Nauk, 451, No. 1, 7--10 (2013) Full Text: DOI