Kashchenko, S. A. Quasi-normal forms in the problem of vibrations of Pedestrian bridges. (English. Russian original) Zbl 1504.35047 Dokl. Math. 106, No. 2, 343-347 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 49-53 (2022). MSC: 35B32 35B10 35B35 35R09 37L10 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Dokl. Math. 106, No. 2, 343--347 (2022; Zbl 1504.35047); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 49--53 (2022) Full Text: DOI
Bulatova, R. R. On the behavior of solutions of the Prandtl system for a Ladyzhenskaya viscous MHD medium in the flow through a confuser. (English. Russian original) Zbl 1504.35297 Dokl. Math. 105, No. 2, 78-83 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 33-39 (2022). MSC: 35Q35 76W05 76A05 76D10 35B40 35C20 35A01 35A02 PDFBibTeX XMLCite \textit{R. R. Bulatova}, Dokl. Math. 105, No. 2, 78--83 (2022; Zbl 1504.35297); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 33--39 (2022) Full Text: DOI
Kashchenko, S. A. Construction of families of equations to describe irregular solutions in the Fermi-Pasta-Ulam problem. (English. Russian original) Zbl 1507.35238 Dokl. Math. 104, No. 3, 360-364 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 52-56 (2021). MSC: 35Q53 35Q55 35B40 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Dokl. Math. 104, No. 3, 360--364 (2021; Zbl 1507.35238); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 52--56 (2021) Full Text: DOI
Kashchenko, A. A. Dependence of the dynamics of a model of coupled oscillators on the number of oscillators. (English. Russian original) Zbl 07503278 Dokl. Math. 104, No. 3, 355-359 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 46-51 (2021). MSC: 34K25 34K24 PDFBibTeX XMLCite \textit{A. A. Kashchenko}, Dokl. Math. 104, No. 3, 355--359 (2021; Zbl 07503278); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 46--51 (2021) Full Text: DOI
Karas, V. S.; Ogarok, P. A.; Raigorodskii, A. M. Asymptotics of the independence number of a random subgraph of the graph \(G(n, r, < s)\). (English. Russian original) Zbl 1478.05137 Dokl. Math. 104, No. 1, 173-174 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 17-19 (2021). MSC: 05C80 05C60 05D40 PDFBibTeX XMLCite \textit{V. S. Karas} et al., Dokl. Math. 104, No. 1, 173--174 (2021; Zbl 1478.05137); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 17--19 (2021) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M. The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides. (English. Russian original) Zbl 1377.35062 Dokl. Math. 96, No. 1, 406-410 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 624-628 (2016). MSC: 35J05 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Dokl. Math. 96, No. 1, 406--410 (2017; Zbl 1377.35062); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 624--628 (2016) Full Text: DOI
Polosin, A. A. On eigenfunctions of a convolution operator on a finite interval for which the Fourier image of the kernel is the characteristic function. (English. Russian original) Zbl 1495.45001 Dokl. Math. 96, No. 1, 389-392 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 614-617 (2016). MSC: 45C05 44A35 PDFBibTeX XMLCite \textit{A. A. Polosin}, Dokl. Math. 96, No. 1, 389--392 (2017; Zbl 1495.45001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 614--617 (2016) Full Text: DOI
Imanaliev, M.; Asanova, K. A.; Iskandarov, S. The Lyusternik-Sobolev lemma and the specific asymptotic stability of solutions of linear homogeneous Volterra-type integro-differential equations of order 3. (English. Russian original) Zbl 1354.45002 Dokl. Math. 94, No. 1, 418-422 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 4, 397-401 (2016). MSC: 45J05 45A05 45M05 45M10 PDFBibTeX XMLCite \textit{M. Imanaliev} et al., Dokl. Math. 94, No. 1, 418--422 (2016; Zbl 1354.45002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 4, 397--401 (2016) Full Text: DOI
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. Strong asymptotics for the Pollaczek multiple orthogonal polynomials. (English. Russian original) Zbl 1337.33006 Dokl. Math. 92, No. 3, 709-713 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393-397 (2015). Reviewer: Peter Massopust (München) MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Dokl. Math. 92, No. 3, 709--713 (2015; Zbl 1337.33006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393--397 (2015) Full Text: DOI
Podol’skiy, A. V.; Shaposhnikova, T. A. Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\). (English. Russian original) Zbl 1332.35031 Dokl. Math. 92, No. 1, 464-470 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 4, 395-401 (2015). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35J92 35J66 PDFBibTeX XMLCite \textit{A. V. Podol'skiy} and \textit{T. A. Shaposhnikova}, Dokl. Math. 92, No. 1, 464--470 (2015; Zbl 1332.35031); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 4, 395--401 (2015) Full Text: DOI
Samovol, V. S. Asymptotics of solutions of Emden-Fowler-type equations. (English. Russian original) Zbl 1378.34076 Dokl. Math. 91, No. 1, 16-19 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 1, 22-25 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34D05 34A34 PDFBibTeX XMLCite \textit{V. S. Samovol}, Dokl. Math. 91, No. 1, 16--19 (2015; Zbl 1378.34076); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 1, 22--25 (2015) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. K. Buffer phenomenon and chaos in circular chains of unidirectionally coupled oscillators. (English. Russian original) Zbl 1326.34064 Dokl. Math. 90, No. 1, 509-512 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 3, 278-281 (2014). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C15 34E10 34C23 34C05 34E05 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Dokl. Math. 90, No. 1, 509--512 (2014; Zbl 1326.34064); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 3, 278--281 (2014) Full Text: DOI
Zubova, S. P. The role of perturbations in the Cauchy problem for equations with a Fredholm operator multiplying the derivative. (English. Russian original) Zbl 1302.34095 Dokl. Math. 89, No. 1, 72-75 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 4, 383-386 (2014). MSC: 34G10 34E10 34A09 PDFBibTeX XMLCite \textit{S. P. Zubova}, Dokl. Math. 89, No. 1, 72--75 (2014; Zbl 1302.34095); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 4, 383--386 (2014) Full Text: DOI
Kerimov, N. B. On spectral properties of certain regular boundary value problems for higher-order differential operators. (English. Russian original) Zbl 1297.34024 Dokl. Math. 88, No. 3, 645-648 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 1, 131-135 (2013). Reviewer: Andreas Fleige (Dortmund) MSC: 34B05 34L10 34L20 PDFBibTeX XMLCite \textit{N. B. Kerimov}, Dokl. Math. 88, No. 3, 645--648 (2013; Zbl 1297.34024); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 1, 131--135 (2013) Full Text: DOI
Goryuchkina, I. V. Exact solution of the sixth Painlevé equation and exotic asymptotic expansion. (English. Russian original) Zbl 1282.34097 Dokl. Math. 87, No. 3, 314-317 (2013); translation from Dokl. Akad. Nauk. 450, No. 4, 381-384 (2013). Reviewer: Dmitri Artamonov (Moscow) MSC: 34M55 34M25 34M30 PDFBibTeX XMLCite \textit{I. V. Goryuchkina}, Dokl. Math. 87, No. 3, 314--317 (2013; Zbl 1282.34097); translation from Dokl. Akad. Nauk. 450, No. 4, 381--384 (2013) Full Text: DOI
Volnukhin, M. S. Asymptotics of solutions of differential equations with degeneracies in the case of resonance. (English. Russian original) Zbl 1286.35067 Dokl. Math. 87, No. 2, 164-166 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 3, 259-262 (2013). Reviewer: Thomas Kecker (London) MSC: 35C20 35J70 34M30 34E05 35B40 35B34 PDFBibTeX XMLCite \textit{M. S. Volnukhin}, Dokl. Math. 87, No. 2, 164--166 (2013; Zbl 1286.35067); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 3, 259--262 (2013) Full Text: DOI
Makarenkov, O. Yu.; Martynova, I. S. Degenerate resonances and their stability in two-dimensional systems with small negative divergence. (English. Russian summary) Zbl 1270.34092 Dokl. Math. 86, No. 3, 784-786 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 3, 262-264 (2012). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C25 34C23 34D10 34E10 34D20 PDFBibTeX XMLCite \textit{O. Yu. Makarenkov} and \textit{I. S. Martynova}, Dokl. Math. 86, No. 3, 784--786 (2012; Zbl 1270.34092); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 3, 262--264 (2012) Full Text: DOI
Murtazin, Kh. Kh.; Atnagulov, A. I. Spectrum asymptotics of a perturbed Laplace-Beltrami operator on a three-dimensional sphere. (English. Russian original) Zbl 1242.47037 Dokl. Math. 84, No. 3, 824-825 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 442-443 (2011). Reviewer: Michael Perelmuter (Kyïv) MSC: 47F05 35P20 35P15 47A10 PDFBibTeX XMLCite \textit{Kh. Kh. Murtazin} and \textit{A. I. Atnagulov}, Dokl. Math. 84, No. 3, 824--825 (2011; Zbl 1242.47037); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 442--443 (2011) Full Text: DOI
Stepin, S. A. Asymptotic integration of nonoscillatory second-order differential equations. (English. Russian original) Zbl 1228.34073 Dokl. Math. 82, No. 2, 751-754 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 3, 315-318 (2010). Reviewer: Fei Xue (Hartford) MSC: 34D05 34E10 34C20 34A30 PDFBibTeX XMLCite \textit{S. A. Stepin}, Dokl. Math. 82, No. 2, 751--754 (2010; Zbl 1228.34073); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 3, 315--318 (2010) Full Text: DOI
Vlasov, V. V.; Rautian, N. A.; Shamaev, A. S. Solvability and spectral analysis of integro-differential equations arising in the theory of heat transfer and acoustics. (English. Russian original) Zbl 1228.45020 Dokl. Math. 82, No. 2, 684-687 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 1, 12-15 (2010). Reviewer: Temur Jangveladze (Tbilisi) MSC: 45N05 45K05 45M05 44A10 80A20 76Q05 47G20 PDFBibTeX XMLCite \textit{V. V. Vlasov} et al., Dokl. Math. 82, No. 2, 684--687 (2010; Zbl 1228.45020); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 1, 12--15 (2010) Full Text: DOI
Belykh, V. N. Asymptotics of Kolmogorov’s \(\varepsilon \)-entropy for some classes of infinitely differentiable periodic functions (Babenko’s problem). (English. Russian original) Zbl 1211.42001 Dokl. Math. 81, No. 2, 293-297 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 6, 731-735 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 42A10 41A46 42A32 65T40 PDFBibTeX XMLCite \textit{V. N. Belykh}, Dokl. Math. 81, No. 2, 293--297 (2010; Zbl 1211.42001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 6, 731--735 (2010) Full Text: DOI
Danilin, A. R.; Parysheva, Yu. V. Asymptotics of the optimal cost functional in a linear optimal control problem. (English. Russian original) Zbl 1190.49039 Dokl. Math. 80, No. 1, 478-481 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 151-154 (2009). MSC: 49M30 90C25 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{Yu. V. Parysheva}, Dokl. Math. 80, No. 1, 478--481 (2009; Zbl 1190.49039); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 151--154 (2009) Full Text: DOI
Khachatryan, Kh. A. One-parameter family of solutions for one class of Hammerstein nonlinear equations on a half-line. (English. Russian original) Zbl 1186.45006 Dokl. Math. 80, No. 3, 872-876 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 5, 595-599 (2009). Reviewer: Martin Väth (Praha) MSC: 45G05 45E10 45M05 45M20 45L05 47H30 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan}, Dokl. Math. 80, No. 3, 872--876 (2009; Zbl 1186.45006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 5, 595--599 (2009) Full Text: DOI
Bruno, A. D.; Goryuchkina, I. V. Asymptotic forms of solutions to the fourth Painlevé equation. (English. Russian original) Zbl 1221.34238 Dokl. Math. 78, No. 3, 868-873 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 4, 443-448 (2008). MSC: 34M55 34A25 34M30 PDFBibTeX XMLCite \textit{A. D. Bruno} and \textit{I. V. Goryuchkina}, Dokl. Math. 78, No. 3, 868--873 (2008; Zbl 1221.34238); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 4, 443--448 (2008) Full Text: DOI
Buică, A.; Llibre, J.; Makarenkov, O. Yu. On Yu. A. Mitropol’skii’s theorem on periodic solutions of systems of nonlinear differential equations with nondifferentiable right-hand sides. (English. Russian original) Zbl 1221.34108 Dokl. Math. 78, No. 1, 525-527 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 421, No. 3, 302-304 (2008). MSC: 34C25 34C29 34E10 PDFBibTeX XMLCite \textit{A. Buică} et al., Dokl. Math. 78, No. 1, 525--527 (2008; Zbl 1221.34108); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 421, No. 3, 302--304 (2008) Full Text: DOI arXiv
Il’in, A. M.; Khachai, O. Yu. Singular initial value problem for a system of ordinary differential equations with a small parameter. (English. Russian original) Zbl 1203.34078 Dokl. Math. 78, No. 2, 729-732 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 4, 455-458 (2008). Reviewer: E. V. Shchetinina (Samara) MSC: 34E05 34E10 34E13 34A12 PDFBibTeX XMLCite \textit{A. M. Il'in} and \textit{O. Yu. Khachai}, Dokl. Math. 78, No. 2, 729--732 (2008; Zbl 1203.34078); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 4, 455--458 (2008) Full Text: DOI
Murtazin, Kh. Kh. Asymptotic behavior of the spectrum of perturbed fractional powers of differential operators. (English. Russian original) Zbl 1287.34075 Dokl. Math. 77, No. 2, 198-202 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 2, 164-168 (2008). MSC: 34L20 34A08 34E10 47E05 PDFBibTeX XMLCite \textit{Kh. Kh. Murtazin}, Dokl. Math. 77, No. 2, 198--202 (2008; Zbl 1287.34075); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 2, 164--168 (2008) Full Text: DOI
Vagabov, A. I. On a parameter-based asymptotics of solutions to differential equations with coefficients from \(L_{2}(a, b)\). (English. Russian original) Zbl 1159.34004 Dokl. Math. 77, No. 2, 166-169 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 1, 10-13 (2008). Reviewer: Vladimir Răsvan (Craiova) MSC: 34A30 34E10 PDFBibTeX XMLCite \textit{A. I. Vagabov}, Dokl. Math. 77, No. 2, 166--169 (2008; Zbl 1159.34004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 1, 10--13 (2008) Full Text: DOI
Stepin, S. A.; Titov, V. A. On the concentration of spectrum in the model problem of singular perturbation theory. (English. Russian original) Zbl 1167.34395 Dokl. Math. 75, No. 2, 197-200 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 27-30 (2007). Reviewer: Oleh Omel’chenko (Berlin) MSC: 34L20 34E20 34L15 34B05 34L40 PDFBibTeX XMLCite \textit{S. A. Stepin} and \textit{V. A. Titov}, Dokl. Math. 75, No. 2, 197--200 (2007; Zbl 1167.34395); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 27--30 (2007) Full Text: DOI
Bruno, A. D.; Goryuchkina, I. V. All asymptotic expansions of solutions to the sixth Painlevé equation. (English. Russian original) Zbl 1158.34347 Dokl. Math. 76, No. 3, 851-855 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 3, 298-302 (2007). MSC: 34M55 34M25 34M30 PDFBibTeX XMLCite \textit{A. D. Bruno} and \textit{I. V. Goryuchkina}, Dokl. Math. 76, No. 3, 851--855 (2007; Zbl 1158.34347); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 3, 298--302 (2007) Full Text: DOI
Murtazin, Kh. Kh.; Sadovnichii, V. A.; Tul’kubaev, R. Z. The asymptotic behavior of the spectrum trace formulas for differential operators with unbounded coefficients. (English. Russian original) Zbl 1166.34333 Dokl. Math. 76, No. 2, 762-766 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 6, 740-744 (2007). Reviewer: Bruce A. Watson (Wits) MSC: 34L20 34B24 34B27 34B05 34B20 PDFBibTeX XMLCite \textit{Kh. Kh. Murtazin} et al., Dokl. Math. 76, No. 2, 762--766 (2007; Zbl 1166.34333); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 6, 740--744 (2007) Full Text: DOI
Dolbeeva, S. F.; Il’in, A. M. Asymptotic behavior of the solution to a differential equation with a small parameter when the stability lines of the limit solution intersect. (English. Russian original) Zbl 1327.34105 Dokl. Math. 73, No. 3, 388-390 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 4, 443-445 (2006). MSC: 34E10 PDFBibTeX XMLCite \textit{S. F. Dolbeeva} and \textit{A. M. Il'in}, Dokl. Math. 73, No. 3, 388--390 (2006; Zbl 1327.34105); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 4, 443--445 (2006) Full Text: DOI
Suleimanov, B. I. On some typical features of motion with damping in the case of smooth inhomogeneity. (English. Russian original) Zbl 1327.70017 Dokl. Math. 73, No. 2, 299-301 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 4, 460-462 (2006). MSC: 70K70 34E10 34E15 PDFBibTeX XMLCite \textit{B. I. Suleimanov}, Dokl. Math. 73, No. 2, 299--301 (2006; Zbl 1327.70017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 4, 460--462 (2006) Full Text: DOI
Kudryavtsev, L. D. Problems with asymptotic initial data for systems of ordinary differential equations. (English. Russian original) Zbl 1327.34106 Dokl. Math. 73, No. 2, 202-204 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 2, 172-175 (2006). MSC: 34E10 34A12 PDFBibTeX XMLCite \textit{L. D. Kudryavtsev}, Dokl. Math. 73, No. 2, 202--204 (2006; Zbl 1327.34106); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 2, 172--175 (2006) Full Text: DOI
Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A. The \(p\)-regularity theory and Poincaré’s small parameter method. (English. Russian original) Zbl 1208.34089 Dokl. Math. 74, No. 3, 869-873 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 727-731 (2006). MSC: 34E10 34B15 47J07 PDFBibTeX XMLCite \textit{O. A. Brezhneva} et al., Dokl. Math. 74, No. 3, 869--873 (2006; Zbl 1208.34089); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 727--731 (2006) Full Text: DOI
Kirillov, O. N.; Seĭranian, A. P. Instability of distributed nonconservative systems caused by weak dissipation. (English. Russian original) Zbl 1272.70082 Dokl. Math. 71, No. 3, 470-475 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460-466 (2005). MSC: 70J25 74K10 34B05 34E10 34L15 PDFBibTeX XMLCite \textit{O. N. Kirillov} and \textit{A. P. Seĭranian}, Dokl. Math. 71, No. 3, 470--475 (2005; Zbl 1272.70082); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460--466 (2005)
Boimatov, K. Kh. Spectral asymptotics for elliptic systems of differential operators with piecewise continuous coefficients and for elliptic problems with indefinite weight. (English. Russian original) Zbl 1163.35359 Dokl. Math. 72, No. 2, 702-704 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 404, No. 3, 300-303 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J45 35J55 35P20 47F05 PDFBibTeX XMLCite \textit{K. Kh. Boimatov}, Dokl. Math. 72, No. 2, 702--704 (2005; Zbl 1163.35359); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 404, No. 3, 300--303 (2005)
Danilov, V. G.; Shelkovich, V. M. Propagation and interaction of \(\delta\)-shock waves for hyperbolic systems of conservation laws. (English. Russian original) Zbl 1129.35440 Dokl. Math. 69, No. 1, 4-8 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 1, 10-14 (2004). MSC: 35L67 35L65 35L45 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{V. M. Shelkovich}, Dokl. Math. 69, No. 1, 4--8 (2004; Zbl 1129.35440); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 1, 10--14 (2004)
Sadovnichii, V. A.; Fazullin, Z. Yu. A cluster asymptotics for the eigenvalues of a perturbation of the Laplace operator on the sphere \(S^2\). (English. Russian original) Zbl 1127.35350 Dokl. Math. 68, No. 1, 93-96 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 4, 456-459 (2003). MSC: 35P20 35J05 35B20 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} and \textit{Z. Yu. Fazullin}, Dokl. Math. 68, No. 1, 93--96 (2003; Zbl 1127.35350); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 4, 456--459 (2003)
Kamenskii, M. I.; Makarenkov, O. Yu.; Nistri, P. A new approach to the theory of ordinary differential equations with a small parameter. (English) Zbl 1246.34044 Dokl. Math. 67, No. 1, 36-38 (2003) and Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 4, 439-442 (2003). MSC: 34C29 34A12 34C25 34E10 PDFBibTeX XMLCite \textit{M. I. Kamenskii} et al., Dokl. Math. 67, No. 1, 36--38 (2003; Zbl 1246.34044) Full Text: arXiv
Gadyl’shin, R. R. Eigenvalues of the Neumann problem in a domain with a thin channel. (English. Russian original) Zbl 1146.35336 Dokl. Math. 66, No. 3, 436-439 (2002); translation from Dokl. Akad. Nauk 387, No. 1, 26-30 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 35J05 35P05 35P15 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin}, Dokl. Math. 66, No. 3, 436--439 (2002; Zbl 1146.35336); translation from Dokl. Akad. Nauk 387, No. 1, 26--30 (2002)
Boimatov, K. Kh. On the spectral asymptotics and summability by the Abel method of series in a system of root vector functions of nonsmooth elliptic differential operators that are far from selfadjoint. (English. Russian original) Zbl 1060.35093 Dokl. Math. 61, No. 3, 376-379 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 4, 442-445 (2000). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P20 47F05 PDFBibTeX XMLCite \textit{K. Kh. Boimatov}, Dokl. Math. 61, No. 3, 442--445 (2000; Zbl 1060.35093); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 4, 442--445 (2000)
Povzner, A. Ya. On perturbations of a class of systems of differential equations containing resonances. (English. Russian original) Zbl 1049.34065 Dokl. Math. 61, No. 1, 34-36 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 2, 161-163 (2000). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E10 34E05 PDFBibTeX XMLCite \textit{A. Ya. Povzner}, Dokl. Math. 61, No. 1, 161--163 (2000; Zbl 1049.34065); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 2, 161--163 (2000)
Maslov, V. P. An averaging method for \(N\) interacting fermions as \(N\) tends to infinity. (English. Russian original) Zbl 1043.82516 Dokl. Math. 60, No. 3, 448-452 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 369, No. 3, 320-324 (1999). MSC: 82B10 81V70 PDFBibTeX XMLCite \textit{V. P. Maslov}, Dokl. Math. 60, No. 3, 320--324 (1999; Zbl 1043.82516); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 369, No. 3, 320--324 (1999)
Nazarov, S. A.; Pileckas, K. I. Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body. (English. Russian original) Zbl 0961.35103 Dokl. Math. 60, No. 1, 133-135 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 461-463 (1999). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{K. I. Pileckas}, Dokl. Math. 60, No. 1, 461--463 (1999; Zbl 0961.35103); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 461--463 (1999)
Orlov, V. A. Realization of functions in \(P_k\) by circuits of functional elements over an arbitrary basis. (English. Russian original) Zbl 0978.94051 Dokl. Math. 57, No. 2, 222-223 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 3, 308-309 (1998). MSC: 94C10 03B50 94A24 PDFBibTeX XML Full Text: DOI
Bojmatov, K. Kh. Spectral asymptotics of a nonselfadjoint problem of the Gasymov-Kostyuchenko type. (English. Russian original) Zbl 0967.35105 Dokl. Math. 58, No. 3, 367-368 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 2, 151-152 (1998). MSC: 35P20 35J40 47F05 PDFBibTeX XMLCite \textit{K. Kh. Bojmatov}, Dokl. Math. 58, No. 3, 151--152 (1998; Zbl 0967.35105); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 2, 151--152 (1998)
Drozhzhinov, Yu. N.; Zav’yalov, B. I. Wiener-type theorems for generalized functions and the Stieltjes transform. (English. Russian original) Zbl 0962.46030 Dokl. Math. 58, No. 3, 372-375 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 2, 156-159 (1998). Reviewer: Hideo Yamagata (Osaka) MSC: 46F12 44A15 PDFBibTeX XMLCite \textit{Yu. N. Drozhzhinov} and \textit{B. I. Zav'yalov}, Dokl. Math. 58, No. 3, 156--159 (1998; Zbl 0962.46030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 2, 156--159 (1998)
Chujko, S. M. Almost-periodic solutions to weakly nonlinear equations in critical cases. (English. Russian original) Zbl 0982.34040 Dokl. Math. 57, No. 2, 230-232 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 3, 316-318 (1998). Reviewer: Klaus R.Schneider (Berlin) MSC: 34C27 34E10 PDFBibTeX XMLCite \textit{S. M. Chujko}, Dokl. Math. 57, No. 2, 316--318 (1998; Zbl 0982.34040); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 3, 316--318 (1998)
Maslov, V. P.; Shvedov, O. Yu. The complex germ in the relativistic field theory. (English. Russian original) Zbl 0961.58017 Dokl. Math. 57, No. 1, 140-143 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 3, 319-322 (1998). Reviewer: J.S.Joel (MR 99d:58182) MSC: 58J90 81T99 58J37 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{O. Yu. Shvedov}, Dokl. Math. 57, No. 1, 319--322 (1998; Zbl 0961.58017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 3, 319--322 (1998)
Chentsov, A. G. On the universal asymptotics of admissible sets under relaxation of integral constraints and its representation in the class of finitely additive measures. (English. Russian original) Zbl 0962.49009 Dokl. Math. 57, No. 1, 34-37 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 2, 165-168 (1998). MSC: 49J45 49Q20 93B03 PDFBibTeX XMLCite \textit{A. G. Chentsov}, Dokl. Math. 57, No. 1, 165--168 (1998; Zbl 0962.49009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 2, 165--168 (1998)
Telyakovskij, S. A. On the behavior of sine series with convex coefficients near the origin. (English. Russian original) Zbl 0971.42006 Dokl. Math. 56, No. 3, 913-914 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 4, 462-463 (1997). MSC: 42A32 PDFBibTeX XMLCite \textit{S. A. Telyakovskij}, Dokl. Math. 56, No. 3, 462--463 (1997; Zbl 0971.42006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 4, 462--463 (1997)
Mitrokhin, S. I. Spectral properties of second-order differential operators with a discontinuous positive weight function. (English. Russian original) Zbl 0980.34079 Dokl. Math. 56, No. 2, 652-654 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 1, 13-15 (1997). MSC: 34L20 34B24 34L40 PDFBibTeX XMLCite \textit{S. I. Mitrokhin}, Dokl. Math. 56, No. 2, 13--15 (1997; Zbl 0980.34079); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 1, 13--15 (1997)
Levendorskij, S. Z. The Floquet theory for the Schrödinger operator with a perturbed periodic potential and precise spectral asymptotics. (English. Russian original) Zbl 1050.35508 Dokl. Math. 56, No. 1, 488-491 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 1, 21-24 (1997). Reviewer: H. Tanabe (Toyonaka) MSC: 35J10 35P20 81Q10 47F05 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Dokl. Math. 56, No. 1, 21--24 (1997; Zbl 1050.35508); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 1, 21--24 (1997)
Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G. Phase transition in a phase field system. (English. Russian original) Zbl 0964.35162 Dokl. Math. 55, No. 1, 121-124 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 6, 731-734 (1997). MSC: 35Q72 35R35 35K20 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Dokl. Math. 55, No. 1, 731--734 (1997; Zbl 0964.35162); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 6, 731--734 (1997)
Bojmatov, K. Kh.; Seddighi, K. Spectral properties of ordinary differential operators generated by noncoercive forms. (English. Russian original) Zbl 0966.47026 Dokl. Math. 55, No. 1, 68-71 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 4, 439-442 (1997). Reviewer: Georgi E.Karadzhov (Sofia) MSC: 47E05 34L05 PDFBibTeX XMLCite \textit{K. Kh. Bojmatov} and \textit{K. Seddighi}, Dokl. Math. 55, No. 1, 439--442 (1997; Zbl 0966.47026); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 4, 439--442 (1997)
Nefedov, N. N. Two-dimensional contrast steplike structures: Asymptotic behavior, existence, stability. (English. Russian original) Zbl 0893.65065 Dokl. Math. 54, No. 1, 594-596 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 5, 603-605 (1996). MSC: 65Z05 35J65 35B25 35B40 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Dokl. Math. 54, No. 1, 594--596 (1996; Zbl 0893.65065); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 5, 603--605 (1996)
Kuzyurin, N. N. On the maximal \(\alpha\)-depth of (0, 1)-matrices of Ryser classes. (English. Russian original) Zbl 0894.05006 Dokl. Math. 54, No. 2, 652-653 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 350, No. 1, 12-13 (1996). MSC: 05B20 PDFBibTeX XMLCite \textit{N. N. Kuzyurin}, Dokl. Math. 54, No. 2, 652--653 (1996; Zbl 0894.05006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 350, No. 1, 12--13 (1996)
Kucherenko, V. V.; Maslov, V. P. The spectrum of the system of \(N\) bosons for \(N\to \infty\). (English. Russian original) Zbl 0898.47050 Dokl. Math. 53, No. 3, 434-437 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 2, 169-172 (1996). Reviewer: P.Dyshlovenko (Ul’yanovsk) MSC: 47N50 81Q10 81Q20 PDFBibTeX XMLCite \textit{V. V. Kucherenko} and \textit{V. P. Maslov}, Dokl. Math. 53, No. 3, 434--437 (1996; Zbl 0898.47050); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 2, 169--172 (1996)
Demidov, A. S. A complete asymptotics of the solution of the Dirichlet problem for a two-dimensional Laplace equation with rapidly oscillating boundary data. (English. Russian original) Zbl 0887.35023 Dokl. Math. 53, No. 1, 81-83 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 6, 732-734 (1996). MSC: 35B40 35J25 35B20 PDFBibTeX XMLCite \textit{A. S. Demidov}, Dokl. Math. 53, No. 1, 81--83 (1996; Zbl 0887.35023); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 6, 732--734 (1996)
Skriganov, M. M. Anomalies in spectral asymptotics. (English. Russian original) Zbl 0874.58081 Dokl. Math. 51, No. 1, 104-106 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 5, 597-599 (1995). MSC: 58J40 58J37 PDFBibTeX XMLCite \textit{M. M. Skriganov}, Dokl. Math. 51, No. 1, 104--106 (1995; Zbl 0874.58081); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 5, 597--599 (1995)
Kucherenko, V. V. Asymptotics of the solution to the mixed problem for the kinetic equation of neutron transport. (English. Russian original) Zbl 0882.45010 Dokl. Math. 51, No. 1, 142-145 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 4, 476-479 (1995). Reviewer: S.Mika (Plzeň) MSC: 45K05 45M05 82C70 PDFBibTeX XMLCite \textit{V. V. Kucherenko}, Dokl. Math. 51, No. 1, 142--145 (1995; Zbl 0882.45010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 4, 476--479 (1995)
Bogachev, L. V.; Makhnovskij, Yu. A. Brownian motion with absorption in a clusterized random medium. (English. Russian original) Zbl 0881.60091 Dokl. Math. 51, No. 1, 51-53 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 3, 300-302 (1995). MSC: 60K40 60J65 PDFBibTeX XMLCite \textit{L. V. Bogachev} and \textit{Yu. A. Makhnovskij}, Dokl. Math. 51, No. 1, 51--53 (1995; Zbl 0881.60091); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 3, 300--302 (1995)
Kondrat’ev, V. A.; Oleinik, O. A. Bahavior at infinity of solutions to one class of nonlinear elliptic equations in a tube domain. (English. Russian original) Zbl 0878.35018 Dokl. Math. 51, No. 2, 227-230 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 4, 446-449 (1995). MSC: 35B40 35J65 PDFBibTeX XMLCite \textit{V. A. Kondrat'ev} and \textit{O. A. Oleinik}, Dokl. Math. 51, No. 2, 227--230 (1995; Zbl 0878.35018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 4, 446--449 (1995)
Kucherenko, V. V.; Maslov, V. P. Spectrum of a system of \(N\) fermions as \(N\to\infty\). (English. Russian original) Zbl 0879.47050 Dokl. Math. 52, No. 2, 186-189 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 344, No. 2, 158-161 (1995). Reviewer: W.Stulpe (Berlin) MSC: 47N50 81V70 PDFBibTeX XMLCite \textit{V. V. Kucherenko} and \textit{V. P. Maslov}, Dokl. Math. 52, No. 2, 186--189 (1995; Zbl 0879.47050); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 344, No. 2, 158--161 (1995)
Mel’nik, T. A.; Nazarov, S. A. Asymptotics of Neumann problem eigenvalues in a “dense comb” type domain. (English. Russian original) Zbl 0879.35027 Dokl. Math. 51, No. 3, 326-328 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 1, 23-25 (1995). MSC: 35B40 35P20 35J25 PDFBibTeX XMLCite \textit{T. A. Mel'nik} and \textit{S. A. Nazarov}, Dokl. Math. 51, No. 3, 326--328 (1995; Zbl 0879.35027); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 1, 23--25 (1995)