Feng, Hao; Meng, Gang Minimization of eigenvalues for the Camassa-Holm equation. (English) Zbl 07331734 Commun. Contemp. Math. 23, No. 4, Article ID 2050021, 9 p. (2021). MSC: 34L15 34L40 PDF BibTeX XML Cite \textit{H. Feng} and \textit{G. Meng}, Commun. Contemp. Math. 23, No. 4, Article ID 2050021, 9 p. (2021; Zbl 07331734) Full Text: DOI
Schmidt, Heinz-Jürgen; Schnack, Jürgen; Holthaus, Martin Floquet theory of the analytical solution of a periodically driven two-level system. (English) Zbl 07328933 Appl. Anal. 100, No. 5, 992-1009 (2021). MSC: 81V80 34L40 33E30 33C15 PDF BibTeX XML Cite \textit{H.-J. Schmidt} et al., Appl. Anal. 100, No. 5, 992--1009 (2021; Zbl 07328933) Full Text: DOI
Smirnov, A. G. Coupling constant dependence for the Schrödinger equation with an inverse-square potential. (English) Zbl 1454.34116 Adv. Oper. Theory 6, No. 2, Paper No. 31, 58 p. (2021). MSC: 34L10 34L40 47B25 81Q10 PDF BibTeX XML Cite \textit{A. G. Smirnov}, Adv. Oper. Theory 6, No. 2, Paper No. 31, 58 p. (2021; Zbl 1454.34116) Full Text: DOI
Badanin, Andrey; Korotyaev, Evgeny L. Third-order operators with three-point conditions associated with Boussinesq’s equation. (English) Zbl 07305508 Appl. Anal. 100, No. 3, 527-560 (2021). MSC: 47E05 34L20 34L40 PDF BibTeX XML Cite \textit{A. Badanin} and \textit{E. L. Korotyaev}, Appl. Anal. 100, No. 3, 527--560 (2021; Zbl 07305508) Full Text: DOI
Hryniv, Rostyslav; Melnyk, Bohdan; Mykytyuk, Yaroslav Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation. (English) Zbl 07303662 Ann. Henri Poincaré 22, No. 2, 487-527 (2021). MSC: 47A40 34L25 34L40 35C08 81U40 37K15 37K40 37K60 37J35 37K10 PDF BibTeX XML Cite \textit{R. Hryniv} et al., Ann. Henri Poincaré 22, No. 2, 487--527 (2021; Zbl 07303662) Full Text: DOI
Badanin, Andrey; Korotyaev, Evgeny L. Hill’s operators with the potentials analytically dependent on energy. (English) Zbl 07283595 J. Differ. Equations 271, 638-664 (2021). MSC: 47E05 34L20 34L40 PDF BibTeX XML Cite \textit{A. Badanin} and \textit{E. L. Korotyaev}, J. Differ. Equations 271, 638--664 (2021; Zbl 07283595) Full Text: DOI
Zhou, Hua-Cheng; Weiss, George Solving the regulator problem for the one-dimensional Schrödinger equation via backstepping. (English) Zbl 07326945 Pure Appl. Funct. Anal. 5, No. 1, 229-258 (2020). MSC: 93C20 93C73 34L40 93B52 PDF BibTeX XML Cite \textit{H.-C. Zhou} and \textit{G. Weiss}, Pure Appl. Funct. Anal. 5, No. 1, 229--258 (2020; Zbl 07326945) Full Text: Link
Amirov, Rauf Kh.; Nabiev, Anar Adiloglu Inverse scattering problem for the impulsive Schrödinger equation with a polynomial spectral dependence in the potential. (English) Zbl 07314444 Casp. J. Math. Sci. 9, No. 2, 224-242 (2020). MSC: 34A55 34B24 34L05 PDF BibTeX XML Cite \textit{R. Kh. Amirov} and \textit{A. A. Nabiev}, Casp. J. Math. Sci. 9, No. 2, 224--242 (2020; Zbl 07314444) Full Text: DOI
Kechriniotis, Aristides I.; Tsonos, Christos A.; Delibasis, Konstantinos K.; Tsigaridas, Georgios N. On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials. (English) Zbl 1451.81230 Commun. Theor. Phys. 72, No. 4, Article ID 045201, 12 p. (2020). MSC: 81Q05 34L40 81V10 PDF BibTeX XML Cite \textit{A. I. Kechriniotis} et al., Commun. Theor. Phys. 72, No. 4, Article ID 045201, 12 p. (2020; Zbl 1451.81230) Full Text: DOI
Plokhotnikov, K. È. Numerical method for reconstructing the average positions of quantum particles in a molecular system. (Russian. English summary) Zbl 1454.81072 Mat. Model. 32, No. 9, 20-34 (2020). MSC: 81Q05 34L40 81V55 81V45 81U05 65C05 PDF BibTeX XML Cite \textit{K. È. Plokhotnikov}, Mat. Model. 32, No. 9, 20--34 (2020; Zbl 1454.81072) Full Text: DOI MNR
Shen, Tengfei; Liu, Wenbin; Zhang, Wei; Ye, Tiefeng Existence and convergence of solutions to periodic boundary value problems for Kirchhoff equations via coincidence degree method. (English) Zbl 07279012 Math. Methods Appl. Sci. 43, No. 15, 8683-8693 (2020). Reviewer: Yanqiong Lu (Lanzhou) MSC: 34B15 47N20 PDF BibTeX XML Cite \textit{T. Shen} et al., Math. Methods Appl. Sci. 43, No. 15, 8683--8693 (2020; Zbl 07279012) Full Text: DOI
Muminov, Z. E.; Alladustov, Sh. U.; Lakaev, Sh. S. Threshold analysis of the three dimensional lattice Schrödinger operator with non-local potential. (English) Zbl 1452.35123 Lobachevskii J. Math. 41, No. 6, 1094-1102 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35P15 35P25 34L40 39A70 35J10 PDF BibTeX XML Cite \textit{Z. E. Muminov} et al., Lobachevskii J. Math. 41, No. 6, 1094--1102 (2020; Zbl 1452.35123) Full Text: DOI
Sukhanov, V. V. Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg-de Vries equation. (English. Russian original) Zbl 1453.34108 St. Petersbg. Math. J. 31, No. 5, 903-910 (2020); translation from Algebra Anal. 31, No. 5, 206-215 (2019). MSC: 34L05 34A55 34L40 34A05 PDF BibTeX XML Cite \textit{V. V. Sukhanov}, St. Petersbg. Math. J. 31, No. 5, 903--910 (2020; Zbl 1453.34108); translation from Algebra Anal. 31, No. 5, 206--215 (2019) Full Text: DOI
Hryniv, Rostyslav O.; Manko, Stepan S. Inverse scattering on the half-line for energy-dependent Schrödinger equations. (English) Zbl 07252739 Inverse Probl. 36, No. 9, Article ID 095002, 15 p. (2020). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34L25 34L40 PDF BibTeX XML Cite \textit{R. O. Hryniv} and \textit{S. S. Manko}, Inverse Probl. 36, No. 9, Article ID 095002, 15 p. (2020; Zbl 07252739) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A finite difference method with phase-lag and its derivatives equal to zero for problems in chemistry. (English) Zbl 1448.65076 J. Math. Chem. 58, No. 9, 2024-2060 (2020). MSC: 65L10 65L05 34L40 PDF BibTeX XML Cite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 58, No. 9, 2024--2060 (2020; Zbl 1448.65076) Full Text: DOI
Cinal, M. Highly accurate numerical solution of Hartree-Fock equation with pseudospectral method for closed-shell atoms. (English) Zbl 1448.81472 J. Math. Chem. 58, No. 8, 1571-1600 (2020). MSC: 81V45 34L10 34L15 34L40 65L15 PDF BibTeX XML Cite \textit{M. Cinal}, J. Math. Chem. 58, No. 8, 1571--1600 (2020; Zbl 1448.81472) Full Text: DOI
Khanmamedov, A. Kh.; Makhmudova, M. G. On the transformation operator for the Schrödinger equation with an additional linear potential. (English. Russian original) Zbl 1447.81110 Funct. Anal. Appl. 54, No. 1, 73-76 (2020); translation from Funkts. Anal. Prilozh. 54, No. 1, 93-96 (2020). MSC: 81Q05 34L40 81U40 34A55 45A05 33C10 PDF BibTeX XML Cite \textit{A. Kh. Khanmamedov} and \textit{M. G. Makhmudova}, Funct. Anal. Appl. 54, No. 1, 73--76 (2020; Zbl 1447.81110); translation from Funkts. Anal. Prilozh. 54, No. 1, 93--96 (2020) Full Text: DOI
Adiloglu Nabiev, A.; Amirov, R. Kh. Inverse scattering for the one dimensional Schrödinger equation with the energy dependent potential and discontinuty conditions. (English) Zbl 07246058 Electron. J. Math. Analysis Appl. 8, No. 2, 198-208 (2020). MSC: 34L25 34A55 34L40 PDF BibTeX XML Cite \textit{A. Adiloglu Nabiev} and \textit{R. Kh. Amirov}, Electron. J. Math. Analysis Appl. 8, No. 2, 198--208 (2020; Zbl 07246058) Full Text: Link
Anikin, A. Yu.; Dobrokhotov, S. Yu. Diophantine tori and pragmatic calculation of quasimodes for operators with integrable principal symbol. (English) Zbl 1452.37071 Russ. J. Math. Phys. 27, No. 3, 299-308 (2020). Reviewer: Luigi Rodino (Torino) MSC: 37K55 37J40 35J10 35S05 35S10 34L40 68W30 PDF BibTeX XML Cite \textit{A. Yu. Anikin} and \textit{S. Yu. Dobrokhotov}, Russ. J. Math. Phys. 27, No. 3, 299--308 (2020; Zbl 1452.37071) Full Text: DOI
Flamencourt, Brice; Pankrashkin, Konstantin Strong coupling asymptotics for \(\delta \)-interactions supported by curves with cusps. (English) Zbl 1453.35059 J. Math. Anal. Appl. 491, No. 1, Article ID 124287, 26 p. (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35J10 34L40 47A75 PDF BibTeX XML Cite \textit{B. Flamencourt} and \textit{K. Pankrashkin}, J. Math. Anal. Appl. 491, No. 1, Article ID 124287, 26 p. (2020; Zbl 1453.35059) Full Text: DOI
Ugulava, A.; Toklikishvili, Z.; Chkhaidze, S. On the dynamics of the angular momentum of a quantum pendulum. (English) Zbl 1440.81036 Chaos 30, No. 6, 063104, 7 p. (2020). MSC: 81Q05 34L40 34C60 PDF BibTeX XML Cite \textit{A. Ugulava} et al., Chaos 30, No. 6, 063104, 7 p. (2020; Zbl 1440.81036) Full Text: DOI
Guliyev, Namig J. On two-spectra inverse problems. (English) Zbl 07237852 Proc. Am. Math. Soc. 148, No. 10, 4491-4502 (2020). MSC: 34A55 34B07 34L40 34B24 47A75 47E05 PDF BibTeX XML Cite \textit{N. J. Guliyev}, Proc. Am. Math. Soc. 148, No. 10, 4491--4502 (2020; Zbl 07237852) Full Text: DOI
Khanmamedov, A. Kh.; Makhmudova, M. G. Inverse spectral problem for the Schrödinger equation with an additional linear potential. (English. Russian original) Zbl 1445.81018 Theor. Math. Phys. 202, No. 1, 58-71 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 66-80 (2020). MSC: 81Q05 34L40 81U40 33C10 34A12 PDF BibTeX XML Cite \textit{A. Kh. Khanmamedov} and \textit{M. G. Makhmudova}, Theor. Math. Phys. 202, No. 1, 58--71 (2020; Zbl 1445.81018); translation from Teor. Mat. Fiz. 202, No. 1, 66--80 (2020) Full Text: DOI
Alhaidari, A. D. Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021 Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020). MSC: 81Q10 34L40 34L05 33C45 34A25 PDF BibTeX XML Cite \textit{A. D. Alhaidari}, Theor. Math. Phys. 202, No. 1, 17--29 (2020; Zbl 1445.81021); translation from Teor. Mat. Fiz. 202, No. 1, 20--33 (2020); correction ibid. 205, No. 1, 1391 (2020) Full Text: DOI
Dereziński, Jan; Faupin, Jérémy; Nguyen, Quang Nhat; Richard, Serge On radial Schrödinger operators with a Coulomb potential: general boundary conditions. (English) Zbl 1448.34158 Adv. Oper. Theory 5, No. 3, 1132-1192 (2020). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34L40 34B09 34L05 47E05 81Q10 PDF BibTeX XML Cite \textit{J. Dereziński} et al., Adv. Oper. Theory 5, No. 3, 1132--1192 (2020; Zbl 1448.34158) Full Text: DOI
Guliyev, Namig J. Essentially isospectral transformations and their applications. (English) Zbl 1448.34064 Ann. Mat. Pura Appl. (4) 199, No. 4, 1621-1648 (2020). Reviewer: Fatma Hıra (Atakum) MSC: 34B24 34A55 34B07 34C10 34L20 34L40 PDF BibTeX XML Cite \textit{N. J. Guliyev}, Ann. Mat. Pura Appl. (4) 199, No. 4, 1621--1648 (2020; Zbl 1448.34064) Full Text: DOI
Dong, Bo; Wang, Wei High-order multiscale discontinuous Galerkin methods for the one-dimensional stationary Schrödinger equation. (English) Zbl 1455.65120 J. Comput. Appl. Math. 380, Article ID 112962, 10 p. (2020). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65L60 34L40 PDF BibTeX XML Cite \textit{B. Dong} and \textit{W. Wang}, J. Comput. Appl. Math. 380, Article ID 112962, 10 p. (2020; Zbl 1455.65120) Full Text: DOI
Xue, Nina; Zhao, Wencai On the reducibility of quasiperiodic linear Hamiltonian systems and its applications in Schrödinger equation. (English) Zbl 1444.37045 J. Funct. Spaces 2020, Article ID 6260253, 11 p. (2020). MSC: 37J06 34C20 34L40 PDF BibTeX XML Cite \textit{N. Xue} and \textit{W. Zhao}, J. Funct. Spaces 2020, Article ID 6260253, 11 p. (2020; Zbl 1444.37045) Full Text: DOI
Liu, Shujuan The existence of almost-periodic solutions for 1-dimensional nonlinear Schrödinger equation with quasi-periodic forcing. (English) Zbl 1439.81040 J. Math. Phys. 61, No. 3, 031502, 21 p. (2020). MSC: 81Q05 35Q55 35B15 PDF BibTeX XML Cite \textit{S. Liu}, J. Math. Phys. 61, No. 3, 031502, 21 p. (2020; Zbl 1439.81040) Full Text: DOI
Ozturk, O.; Yilmazer, R. Solutions of the radial component of the fractional Schrödinger equation using N-fractional calculus operator. (English) Zbl 1441.34005 Differ. Equ. Dyn. Syst. 28, No. 1, 191-199 (2020). MSC: 34A05 34A08 26A33 34L40 PDF BibTeX XML Cite \textit{O. Ozturk} and \textit{R. Yilmazer}, Differ. Equ. Dyn. Syst. 28, No. 1, 191--199 (2020; Zbl 1441.34005) Full Text: DOI
Fernández-Bertolin, Aingeru Convexity properties of discrete Schrödinger evolutions. (English) Zbl 1436.39005 J. Evol. Equ. 20, No. 1, 257-278 (2020). MSC: 39A12 39A45 34K27 34L40 PDF BibTeX XML Cite \textit{A. Fernández-Bertolin}, J. Evol. Equ. 20, No. 1, 257--278 (2020; Zbl 1436.39005) Full Text: DOI
Kazakov, Konstantin V. Integrable anharmonic potentials for stretching and bending molecular vibrations. (English) Zbl 1433.81094 Ann. Phys. 414, Article ID 168096, 16 p. (2020). MSC: 81Q80 81Q05 34L40 PDF BibTeX XML Cite \textit{K. V. Kazakov}, Ann. Phys. 414, Article ID 168096, 16 p. (2020; Zbl 1433.81094) Full Text: DOI
Arnold, Anton; Döpfner, Kirian Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point. (English) Zbl 1439.34078 Calcolo 57, No. 1, Paper No. 3, 44 p. (2020). MSC: 34L40 34E20 65L11 65L20 65L10 34E15 34B15 PDF BibTeX XML Cite \textit{A. Arnold} and \textit{K. Döpfner}, Calcolo 57, No. 1, Paper No. 3, 44 p. (2020; Zbl 1439.34078) Full Text: DOI
Chen, Zhijie; Lin, Chang-Shou On algebro-geometric simply-periodic solutions of the KdV hierarchy. (English) Zbl 1439.35425 Commun. Math. Phys. 374, No. 1, 111-144 (2020). MSC: 35Q53 35G20 35C05 35B10 34L40 33E10 37K35 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{C.-S. Lin}, Commun. Math. Phys. 374, No. 1, 111--144 (2020; Zbl 1439.35425) Full Text: DOI
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna; Xu, Xiao-Chuan An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition. (English) Zbl 1436.34013 Inverse Probl. Imaging 14, No. 1, 153-169 (2020). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B07 34B09 34L40 34B24 PDF BibTeX XML Cite \textit{C.-F. Yang} et al., Inverse Probl. Imaging 14, No. 1, 153--169 (2020; Zbl 1436.34013) Full Text: DOI
Chen, Anqi; Cheng, Yingda; Liu, Yong; Zhang, Mengping Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension. (English) Zbl 1440.65131 J. Sci. Comput. 82, No. 1, Paper No. 22, 44 p. (2020). MSC: 65M60 65M06 65M12 65M15 35Q41 PDF BibTeX XML Cite \textit{A. Chen} et al., J. Sci. Comput. 82, No. 1, Paper No. 22, 44 p. (2020; Zbl 1440.65131) Full Text: DOI
Breuer, Jonathan; Levi, Netanel On the decomposition of the Laplacian on metric graphs. (English) Zbl 1432.05061 Ann. Henri Poincaré 21, No. 2, 499-537 (2020). MSC: 05C50 81Q35 35J05 35J10 PDF BibTeX XML Cite \textit{J. Breuer} and \textit{N. Levi}, Ann. Henri Poincaré 21, No. 2, 499--537 (2020; Zbl 1432.05061) Full Text: DOI
Guliyev, Namig J. A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter. (English) Zbl 1428.42057 Anal. Math. Phys. 10, No. 1, Paper No. 2, 8 p. (2020). MSC: 42C15 42C30 15B05 34B07 34L10 34L40 46B15 46C05 46E30 47A20 47B25 47E05 PDF BibTeX XML Cite \textit{N. J. Guliyev}, Anal. Math. Phys. 10, No. 1, Paper No. 2, 8 p. (2020; Zbl 1428.42057) Full Text: DOI
Zhao, Xin Continuity of the spectrum of quasi-periodic Schrödinger operators with finitely differentiable potentials. (English) Zbl 1452.37038 Ergodic Theory Dyn. Syst. 40, No. 2, 564-576 (2020). Reviewer: Meirong Zhang (Beijing) MSC: 37D25 37C40 47A10 34L40 35J10 PDF BibTeX XML Cite \textit{X. Zhao}, Ergodic Theory Dyn. Syst. 40, No. 2, 564--576 (2020; Zbl 1452.37038) Full Text: DOI
Bessonov, Roman; Denisov, Sergey A spectral Szegő theorem on the real line. (English) Zbl 1428.42046 Adv. Math. 359, Article ID 106851, 41 p. (2020). MSC: 42C05 42B25 34L40 34A55 81Q12 PDF BibTeX XML Cite \textit{R. Bessonov} and \textit{S. Denisov}, Adv. Math. 359, Article ID 106851, 41 p. (2020; Zbl 1428.42046) Full Text: DOI
Holzleitner, Markus Transformation operators for spherical Schrödinger operators. (English) Zbl 1423.81187 J. Math. Anal. Appl. 481, No. 1, Article ID 123430, 27 p. (2020). MSC: 81U20 81Q05 34L40 PDF BibTeX XML Cite \textit{M. Holzleitner}, J. Math. Anal. Appl. 481, No. 1, Article ID 123430, 27 p. (2020; Zbl 1423.81187) Full Text: DOI
Rajchel, Kazimierz Solutions of the time-independent Schrödinger equation by uniformization on the unit circle. (English) Zbl 07201139 Ann. Univ. Paedagog. Crac., Stud. Math. 277, No. 18, 157-165 (2019). MSC: 34A34 34L40 PDF BibTeX XML Cite \textit{K. Rajchel}, Ann. Univ. Paedagog. Crac., Stud. Math. 277, No. 18, 157--165 (2019; Zbl 07201139) Full Text: DOI
Khabirov, S. V.; Khabirov, S. S. Self-similar elastic condition of filtration through the moving boundary. (English) Zbl 1435.35302 Lobachevskii J. Math. 40, No. 11, 1950-1958 (2019). MSC: 35Q35 35R37 76D05 74B10 34L40 34D05 PDF BibTeX XML Cite \textit{S. V. Khabirov} and \textit{S. S. Khabirov}, Lobachevskii J. Math. 40, No. 11, 1950--1958 (2019; Zbl 1435.35302) Full Text: DOI
Ozarslan, Ramazan; Ercan, Ahu; Bas, Erdal \(\beta\)-type fractional Sturm-Liouville Coulomb operator and applied results. (English) Zbl 1442.34137 Math. Methods Appl. Sci. 42, No. 18, 6648-6659 (2019). MSC: 34L40 34A08 34L10 34L15 47E05 PDF BibTeX XML Cite \textit{R. Ozarslan} et al., Math. Methods Appl. Sci. 42, No. 18, 6648--6659 (2019; Zbl 1442.34137) Full Text: DOI
Budaca, Radu Applications of double well potentials in the collective nuclear motion. (English) Zbl 1449.81016 Ann. Acad. Rom. Sci., Math. Appl. 11, No. 1, 115-129 (2019). MSC: 81Q05 34L40 PDF BibTeX XML Cite \textit{R. Budaca}, Ann. Acad. Rom. Sci., Math. Appl. 11, No. 1, 115--129 (2019; Zbl 1449.81016) Full Text: Link
Erman, Fatih; Gadella, Manuel; Uncu, Haydar The Lippmann-Schwinger formula and one dimensional models with Dirac delta interactions. (English) Zbl 1425.81092 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 309-322 (2019). MSC: 81U05 81Q05 81Q40 81Q10 34L40 PDF BibTeX XML Cite \textit{F. Erman} et al., in: Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27--30, 2017. Cham: Springer. 309--322 (2019; Zbl 1425.81092) Full Text: DOI
Yafaev, D. R. A note on the Schrödinger operator with a long-range potential. (English) Zbl 1433.34114 Lett. Math. Phys. 109, No. 12, 2625-2648 (2019). Reviewer: Jiři Lipovský (Hradec Kralove) MSC: 34L40 34L05 34L25 PDF BibTeX XML Cite \textit{D. R. Yafaev}, Lett. Math. Phys. 109, No. 12, 2625--2648 (2019; Zbl 1433.34114) Full Text: DOI
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M. A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications. (English) Zbl 1428.34134 Appl. Math. Comput. 353, 274-281 (2019). MSC: 34L40 34A55 PDF BibTeX XML Cite \textit{K. V. Khmelnytskaya} et al., Appl. Math. Comput. 353, 274--281 (2019; Zbl 1428.34134) Full Text: DOI arXiv
Abu-Shady, M.; Abdel-Karim, T. A.; Ezz-Alarab, Sh. Y. Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov-Uvarov method. (English) Zbl 1427.81183 J. Egypt. Math. Soc. 27, Paper No. 14, 15 p. (2019). MSC: 81V05 81Q05 34L40 35P05 81V35 81V80 82B30 PDF BibTeX XML Cite \textit{M. Abu-Shady} et al., J. Egypt. Math. Soc. 27, Paper No. 14, 15 p. (2019; Zbl 1427.81183) Full Text: DOI
Castillo Pérez, Raúl; Kravchenko, Vladislav V.; Torba, Sergii M. A method for computation of scattering amplitudes and Green functions of whole axis problems. (English) Zbl 1427.34116 Math. Methods Appl. Sci. 42, No. 15, 5106-5117 (2019). MSC: 34L25 34B27 34L10 34L40 65L05 34A45 PDF BibTeX XML Cite \textit{R. Castillo Pérez} et al., Math. Methods Appl. Sci. 42, No. 15, 5106--5117 (2019; Zbl 1427.34116) Full Text: DOI
Kravchenko, Vladislav V.; Torba, Sergii M.; Santana-Bejarano, Jessica Yu. Generalized wave polynomials and transmutations related to perturbed Bessel equations. (English) Zbl 07124121 Math. Methods Appl. Sci. 42, No. 15, 5008-5028 (2019). MSC: 34A25 34A45 34B30 34L40 35A20 35A35 35C15 35L81 41A30 65L05 65L15 PDF BibTeX XML Cite \textit{V. V. Kravchenko} et al., Math. Methods Appl. Sci. 42, No. 15, 5008--5028 (2019; Zbl 07124121) Full Text: DOI arXiv
Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential. (English) Zbl 1423.81063 Quantum Stud. Math. Found. 6, No. 3, 279-293 (2019). MSC: 81Q05 34L40 32A15 32A10 47B38 46F10 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Quantum Stud. Math. Found. 6, No. 3, 279--293 (2019; Zbl 1423.81063) Full Text: DOI
Guo, Yongxia; Wei, Guangsheng Inverse scattering problems with the potential known on an interior subinterval. (English) Zbl 1427.34117 J. Math. Phys. Anal. Geom. 15, No. 2, 225-238 (2019). MSC: 34L25 34A55 34L40 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{G. Wei}, J. Math. Phys. Anal. Geom. 15, No. 2, 225--238 (2019; Zbl 1427.34117) Full Text: DOI
Hu, Zhenyu; Huang, Hua; Duan, Zhiwen Inverse scattering problems of one-dimensional Schrödinger equation with magnetic field. (Chinese. English summary) Zbl 1438.35299 Math. Appl. 32, No. 2, 319-326 (2019). MSC: 35P25 35J10 35R30 PDF BibTeX XML Cite \textit{Z. Hu} et al., Math. Appl. 32, No. 2, 319--326 (2019; Zbl 1438.35299)
Mamedov, K. R.; Nabiev, A. A. Inverse problem of scattering theory for a class one-dimensional Schrödinger equation. (English) Zbl 1428.34133 Quaest. Math. 42, No. 7, 841-856 (2019). Reviewer: Jiři Lipovský (Hradec Kralove) MSC: 34L25 34L40 34A55 PDF BibTeX XML Cite \textit{K. R. Mamedov} and \textit{A. A. Nabiev}, Quaest. Math. 42, No. 7, 841--856 (2019; Zbl 1428.34133) Full Text: DOI
Xiao, Aiguo; Wang, Junjie Symplectic scheme for the Schrödinger equation with fractional Laplacian. (English) Zbl 1423.81070 Appl. Numer. Math. 146, 469-487 (2019). MSC: 81Q05 34L40 34A08 39A12 53D05 34K28 PDF BibTeX XML Cite \textit{A. Xiao} and \textit{J. Wang}, Appl. Numer. Math. 146, 469--487 (2019; Zbl 1423.81070) Full Text: DOI
Hening, Alexandru; Kolb, Martin Quasistationary distributions for one-dimensional diffusions with singular boundary points. (English) Zbl 1435.60055 Stochastic Processes Appl. 129, No. 5, 1659-1696 (2019). Reviewer: Isamu Dôku (Saitama) MSC: 60J60 58J65 58J05 35J10 35P05 47F05 PDF BibTeX XML Cite \textit{A. Hening} and \textit{M. Kolb}, Stochastic Processes Appl. 129, No. 5, 1659--1696 (2019; Zbl 1435.60055) Full Text: DOI arXiv
Chen, Anqi; Li, Fengyan; Cheng, Yingda An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension. (English) Zbl 1417.65167 J. Sci. Comput. 78, No. 2, 772-815 (2019). MSC: 65M60 65L06 65M12 65M15 35Q55 35Q41 PDF BibTeX XML Cite \textit{A. Chen} et al., J. Sci. Comput. 78, No. 2, 772--815 (2019; Zbl 1417.65167) Full Text: DOI
Li, Jiaojiao; Ma, Li Global solutions and ground states of a nonlinear Schrödinger equation in matrix geometry. (English) Zbl 1420.58003 Linear Algebra Appl. 573, 1-11 (2019). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 34D05 34L40 35Q55 15A15 PDF BibTeX XML Cite \textit{J. Li} and \textit{L. Ma}, Linear Algebra Appl. 573, 1--11 (2019; Zbl 1420.58003) Full Text: DOI
Kravchenko, Vladislav V. On a method for solving the inverse scattering problem on the line. (English) Zbl 1414.34068 Math. Methods Appl. Sci. 42, No. 4, 1321-1327 (2019). MSC: 34L25 34L40 34A55 PDF BibTeX XML Cite \textit{V. V. Kravchenko}, Math. Methods Appl. Sci. 42, No. 4, 1321--1327 (2019; Zbl 1414.34068) Full Text: DOI
Fassari, S.; Rinaldi, F.; Viaggiu, S. The 3D perturbed Schrödinger Hamiltonian in a Friedmann flat spacetime testing the primordial universe in a non commutative spacetime. (English) Zbl 1411.83063 Math. Phys. Anal. Geom. 22, No. 1, Paper No. 4, 13 p. (2019). MSC: 83C65 83F05 58B34 34L10 34L40 35J10 35P15 47A10 83C45 PDF BibTeX XML Cite \textit{S. Fassari} et al., Math. Phys. Anal. Geom. 22, No. 1, Paper No. 4, 13 p. (2019; Zbl 1411.83063) Full Text: DOI
Tao, Kai Non-perturbative positive Lyapunov exponent of Schrödinger equations and its applications to skew-shift mapping. (English) Zbl 1405.39003 J. Differ. Equations 266, No. 6, 3559-3579 (2019). MSC: 39A12 34L40 35J10 PDF BibTeX XML Cite \textit{K. Tao}, J. Differ. Equations 266, No. 6, 3559--3579 (2019; Zbl 1405.39003) Full Text: DOI
Fayad, Bassam; Qu, Yanhui Continuous spectrum for a class of smooth mixing Schrödinger operators. (English) Zbl 1410.37003 Ergodic Theory Dyn. Syst. 39, No. 2, 357-369 (2019). MSC: 37A25 34L40 34L05 35J10 PDF BibTeX XML Cite \textit{B. Fayad} and \textit{Y. Qu}, Ergodic Theory Dyn. Syst. 39, No. 2, 357--369 (2019; Zbl 1410.37003) Full Text: DOI
Ozturk, Okkes A new perspective via fractional calculus for the radial Schrödinger equation. (English) Zbl 07312769 J. Math. Ext. 12, No. 2, 107-116 (2018). MSC: 34A08 34A34 34A05 34L40 PDF BibTeX XML Cite \textit{O. Ozturk}, J. Math. Ext. 12, No. 2, 107--116 (2018; Zbl 07312769) Full Text: Link
Gromov, N. A.; Kuratov, V. V. Harmonic oscillator on Minkowski plane. (Russian. English summary) Zbl 1430.81030 Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 27, No. 2, 10-23 (2018). MSC: 81Q10 34L40 83A05 70H40 PDF BibTeX XML Cite \textit{N. A. Gromov} and \textit{V. V. Kuratov}, Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 27, No. 2, 10--23 (2018; Zbl 1430.81030)
Aktosun, Tuncay; Weder, Ricardo Inverse scattering on the half line for the matrix Schrödinger equation. (English) Zbl 1430.34096 J. Math. Phys. Anal. Geom. 14, No. 3, 237-269 (2018). Reviewer: Ekin Uğurlu (Ankara) MSC: 34L25 34L40 PDF BibTeX XML Cite \textit{T. Aktosun} and \textit{R. Weder}, J. Math. Phys. Anal. Geom. 14, No. 3, 237--269 (2018; Zbl 1430.34096) Full Text: DOI arXiv
Kravchenko, Vladislav V. Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions. (English) Zbl 1427.34023 Appl. Math. Comput. 328, 75-81 (2018). MSC: 34A25 34L40 PDF BibTeX XML Cite \textit{V. V. Kravchenko}, Appl. Math. Comput. 328, 75--81 (2018; Zbl 1427.34023) Full Text: DOI
Bagirova, Sevinj M.; Khanmamedov, Agil H. The inverse spectral problem for the perturbed harmonic oscillator on the entire axis. (English) Zbl 1454.34035 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 44, No. 2, 285-294 (2018). MSC: 34A55 34L40 34C15 34L05 PDF BibTeX XML Cite \textit{S. M. Bagirova} and \textit{A. H. Khanmamedov}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 44, No. 2, 285--294 (2018; Zbl 1454.34035)
Gülşen, Tüba; Panakhov, Etibar Sadi On the isospectrality of the scalar energy-dependent Schrödinger problems. (English) Zbl 1424.34065 Turk. J. Math. 42, No. 1, 139-154 (2018). MSC: 34A55 34L05 34B24 34L40 PDF BibTeX XML Cite \textit{T. Gülşen} and \textit{E. S. Panakhov}, Turk. J. Math. 42, No. 1, 139--154 (2018; Zbl 1424.34065) Full Text: DOI
Ossipov, A. Gelfand-Yaglom formula for functional determinants in higher dimensions. (English) Zbl 1411.35088 J. Phys. A, Math. Theor. 51, No. 49, Article ID 495201, 12 p. (2018). MSC: 35J05 47A60 34A12 34L40 PDF BibTeX XML Cite \textit{A. Ossipov}, J. Phys. A, Math. Theor. 51, No. 49, Article ID 495201, 12 p. (2018; Zbl 1411.35088) Full Text: DOI
Christianson, Hans High-frequency resolvent estimates on asymptotically Euclidean warped products. (English) Zbl 1421.35010 Commun. Partial Differ. Equations 43, No. 9, 1306-1362 (2018). MSC: 35A27 35B34 35S05 58J50 47A10 35J10 PDF BibTeX XML Cite \textit{H. Christianson}, Commun. Partial Differ. Equations 43, No. 9, 1306--1362 (2018; Zbl 1421.35010) Full Text: DOI arXiv
Mak, Man Kwong; Leung, Chun Sing; Harko, Tiberiu Solving the nonlinear biharmonic equation by the Laplace-Adomian and Adomian decomposition methods. (English) Zbl 1424.35150 Surv. Math. Appl. 13, 183-213 (2018). MSC: 35J40 35C10 35Q41 PDF BibTeX XML Cite \textit{M. K. Mak} et al., Surv. Math. Appl. 13, 183--213 (2018; Zbl 1424.35150) Full Text: EMIS arXiv
Sharifi, Z.; Bayat, A.; Hamzavi, Majid; Bigdeli, M. Spin-isospin effects on Isgur-Wise function for heavy-baryon transitions. (English) Zbl 1404.81296 Ann. Phys. 399, 53-65 (2018). MSC: 81V05 34L40 PDF BibTeX XML Cite \textit{Z. Sharifi} et al., Ann. Phys. 399, 53--65 (2018; Zbl 1404.81296) Full Text: DOI
Laliena, Victor; Campo, Javier An improved discretization of Schrödinger-like radial equations. (English) Zbl 1397.81063 J. Phys. A, Math. Theor. 51, No. 32, Article ID 325203, 14 p. (2018). MSC: 81Q05 81Q10 81R05 34L40 65L12 39A12 PDF BibTeX XML Cite \textit{V. Laliena} and \textit{J. Campo}, J. Phys. A, Math. Theor. 51, No. 32, Article ID 325203, 14 p. (2018; Zbl 1397.81063) Full Text: DOI
Guseinov, I. M.; Khanmamedov, A. Kh.; Mamedova, A. F. Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis. (English. Russian original) Zbl 1401.81047 Theor. Math. Phys. 195, No. 1, 538-547 (2018); translation from Teor. Mat. Fiz. 195, No. 1, 54-63 (2018). MSC: 81Q05 81U40 34L40 34L25 PDF BibTeX XML Cite \textit{I. M. Guseinov} et al., Theor. Math. Phys. 195, No. 1, 538--547 (2018; Zbl 1401.81047); translation from Teor. Mat. Fiz. 195, No. 1, 54--63 (2018) Full Text: DOI
Mahmudova, M. G.; Khanmamedov, A. Kh. On an inverse spectral problem for a perturbed harmonic oscillator. (English) Zbl 1402.34019 Azerb. J. Math. 8, No. 2, 181-191 (2018). Reviewer: Xiangdong Yang (Kunming) MSC: 34A55 34L40 34B09 34B40 PDF BibTeX XML Cite \textit{M. G. Mahmudova} and \textit{A. Kh. Khanmamedov}, Azerb. J. Math. 8, No. 2, 181--191 (2018; Zbl 1402.34019)
Moroz, Alexander A unified treatment of polynomial solutions and constraint polynomials of the Rabi models. (English) Zbl 1396.81230 J. Phys. A, Math. Theor. 51, No. 29, Article ID 295201, 33 p. (2018). MSC: 81V80 34L40 34C60 35C11 PDF BibTeX XML Cite \textit{A. Moroz}, J. Phys. A, Math. Theor. 51, No. 29, Article ID 295201, 33 p. (2018; Zbl 1396.81230) Full Text: DOI
Liang, Quanyi; Liu, Kairong; Meng, Gang; She, Zhikun Minimization of the lowest eigenvalue for a vibrating beam. (English) Zbl 1403.34064 Discrete Contin. Dyn. Syst. 38, No. 4, 2079-2092 (2018). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34L15 34L40 PDF BibTeX XML Cite \textit{Q. Liang} et al., Discrete Contin. Dyn. Syst. 38, No. 4, 2079--2092 (2018; Zbl 1403.34064) Full Text: DOI
Cuenin, Jean-Claude; Siegl, Petr Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications. (English) Zbl 1402.34087 Lett. Math. Phys. 108, No. 7, 1757-1778 (2018). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L15 34L40 34L05 78A50 PDF BibTeX XML Cite \textit{J.-C. Cuenin} and \textit{P. Siegl}, Lett. Math. Phys. 108, No. 7, 1757--1778 (2018; Zbl 1402.34087) Full Text: DOI
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan Spectral enclosures for non-self-adjoint extensions of symmetric operators. (English) Zbl 06912916 J. Funct. Anal. 275, No. 7, 1808-1888 (2018). MSC: 47A10 35P05 35J25 81Q12 35J10 34L40 81Q35 PDF BibTeX XML Cite \textit{J. Behrndt} et al., J. Funct. Anal. 275, No. 7, 1808--1888 (2018; Zbl 06912916) Full Text: DOI
Zhao, Suo On perturbed two-dimensional Dirac operators. (English) Zbl 06909776 Bull. Malays. Math. Sci. Soc. (2) 41, No. 3, 1249-1263 (2018). MSC: 34L40 35J10 65N99 PDF BibTeX XML Cite \textit{S. Zhao}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 3, 1249--1263 (2018; Zbl 06909776) Full Text: DOI
Prykarpatskyy, Ya. Steen-Ermakov-Pinney equation and integrable nonlinear deformation of the one-dimensional Dirac equation. (English) Zbl 1401.34005 J. Math. Sci., New York 231, No. 6, 820-826 (2018) and Neliniĭni Kolyvannya 20, No. 2, 267-273 (2017). Reviewer: Giuseppe Gaeta (Milano) MSC: 34A05 34C14 34A34 34L40 PDF BibTeX XML Cite \textit{Ya. Prykarpatskyy}, J. Math. Sci., New York 231, No. 6, 820--826 (2018; Zbl 1401.34005) Full Text: DOI
Kravchenko, Vladislav V.; Torba, Sergii M.; Castillo-Pérez, Raúl A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. (English) Zbl 1395.34016 Appl. Anal. 97, No. 5, 677-704 (2018). MSC: 34A25 34B30 34L40 41A25 42C10 34B24 41A10 41A60 PDF BibTeX XML Cite \textit{V. V. Kravchenko} et al., Appl. Anal. 97, No. 5, 677--704 (2018; Zbl 1395.34016) Full Text: DOI
Bondarenko, Natalia P. Inverse problems for the matrix Sturm-Liouville equation with a Bessel-type singularity. (English) Zbl 1394.34039 Appl. Anal. 97, No. 7, 1209-1222 (2018). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 34L40 47E05 PDF BibTeX XML Cite \textit{N. P. Bondarenko}, Appl. Anal. 97, No. 7, 1209--1222 (2018; Zbl 1394.34039) Full Text: DOI
Sato, Yohei The existence and non-existence of solutions for the nonlinear Schrödinger equation in one dimension. (English) Zbl 1405.34072 Nonlinear Anal., Real World Appl. 43, 477-494 (2018). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 34L40 58E50 PDF BibTeX XML Cite \textit{Y. Sato}, Nonlinear Anal., Real World Appl. 43, 477--494 (2018; Zbl 1405.34072) Full Text: DOI
Klaus, Martin Eigenvalue asymptotics for Zakharov-Shabat systems with long-range potentials. (English) Zbl 1394.34182 Oper. Matrices 12, No. 1, 55-106 (2018). Reviewer: Rakib Efendiev (Baku) MSC: 34L20 34L15 34B09 34L40 PDF BibTeX XML Cite \textit{M. Klaus}, Oper. Matrices 12, No. 1, 55--106 (2018; Zbl 1394.34182) Full Text: DOI
Sahoo, S.; Saha Ray, S. Lie symmetries analysis and conservation laws for the fractional Calogero-Degasperis-Ibragimov-Shabat equation. (English) Zbl 06876153 Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850110, 11 p. (2018). MSC: 34A08 26A33 34C14 34L40 76M60 PDF BibTeX XML Cite \textit{S. Sahoo} and \textit{S. Saha Ray}, Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850110, 11 p. (2018; Zbl 06876153) Full Text: DOI
Wang, Fengpeng A formula related to CMV matrices and Szegő cocycles. (English) Zbl 1419.33004 J. Math. Anal. Appl. 464, No. 1, 304-316 (2018). MSC: 33C45 15A15 15B99 34L40 35J10 PDF BibTeX XML Cite \textit{F. Wang}, J. Math. Anal. Appl. 464, No. 1, 304--316 (2018; Zbl 1419.33004) Full Text: DOI arXiv
Gulsen, Tuba; Mawlood Sian, Shaida Saber; Yilmaz, Emrah; Koyunbakan, Hikmet Impulsive diffusion equation on time scales. (English) Zbl 1399.34300 Int. J. Anal. Appl. 16, No. 1, 137-148 (2018). MSC: 34N05 34L40 34L05 34B09 34L10 34L15 PDF BibTeX XML Cite \textit{T. Gulsen} et al., Int. J. Anal. Appl. 16, No. 1, 137--148 (2018; Zbl 1399.34300) Full Text: Link
Fedotov, A.; Shchetka, E. Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial. (English. Russian original) Zbl 1385.39001 St. Petersbg. Math. J. 29, No. 2, 363-381 (2018); translation from Algebra Anal. 29, No. 2, 193-219 (2017). MSC: 39A12 34E20 34L40 39A22 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{E. Shchetka}, St. Petersbg. Math. J. 29, No. 2, 363--381 (2018; Zbl 1385.39001); translation from Algebra Anal. 29, No. 2, 193--219 (2017) Full Text: DOI
Combot, Thierry Integrability of the one dimensional Schrödinger equation. (English) Zbl 1387.81236 J. Math. Phys. 59, No. 2, 022105, 32 p. (2018). Reviewer: Willard Miller jun. (Minneapolis) MSC: 81R12 81Q10 34L40 34M35 34M50 PDF BibTeX XML Cite \textit{T. Combot}, J. Math. Phys. 59, No. 2, 022105, 32 p. (2018; Zbl 1387.81236) Full Text: DOI
Ishkhanyan, A. M. Schrödinger potentials solvable in terms of the general Heun functions. (English) Zbl 1382.81088 Ann. Phys. 388, 456-471 (2018). MSC: 81Q05 34L40 33C90 PDF BibTeX XML Cite \textit{A. M. Ishkhanyan}, Ann. Phys. 388, 456--471 (2018; Zbl 1382.81088) Full Text: DOI
Yan, Ke; Simos, T. E. A finite difference pair with improved phase and stability properties. (English) Zbl 1384.65050 J. Math. Chem. 56, No. 1, 170-192 (2018). MSC: 65L12 65L05 65L06 34L40 65L20 PDF BibTeX XML Cite \textit{K. Yan} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 1, 170--192 (2018; Zbl 1384.65050) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A multistep method with optimal properties for second order differential equations. (English) Zbl 1384.65049 J. Math. Chem. 56, No. 1, 1-29 (2018). MSC: 65L12 65L05 65L06 34L40 65L70 65L20 PDF BibTeX XML Cite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 1, 1--29 (2018; Zbl 1384.65049) Full Text: DOI
Boumaza, Hakim; Lafitte, Olivier The band spectrum of the periodic Airy-Schrödinger operator on the real line. (English) Zbl 1392.34094 J. Differ. Equations 264, No. 1, 455-505 (2018). Reviewer: Manfred Möller (Johannesburg) MSC: 34L40 34L05 81Q80 PDF BibTeX XML Cite \textit{H. Boumaza} and \textit{O. Lafitte}, J. Differ. Equations 264, No. 1, 455--505 (2018; Zbl 1392.34094) Full Text: DOI
Nabiev, Anar Adiloglu; Gurdal, Mehmet; Saltan, Suna Inverse problems for the Sturm-Liouville equation with the discontinuous coefficient. (English) Zbl 07309522 J. Appl. Anal. Comput. 7, No. 2, 559-580 (2017). MSC: 34L40 34B24 34L05 PDF BibTeX XML Cite \textit{A. A. Nabiev} et al., J. Appl. Anal. Comput. 7, No. 2, 559--580 (2017; Zbl 07309522) Full Text: DOI
Kulaev, Ruslan Chermenovich; Shabat, Alekseĭ Borisovich Some properties of Jost functions for Schrödinger equation with distribution potential. (Russian. English summary) Zbl 07278515 Ufim. Mat. Zh. 9, No. 4, 60-73 (2017); translation in Ufa Math. J. 9, No. 4, 59-71 (2017). MSC: 34L25 34L40 PDF BibTeX XML Cite \textit{R. C. Kulaev} and \textit{A. B. Shabat}, Ufim. Mat. Zh. 9, No. 4, 60--73 (2017; Zbl 07278515); translation in Ufa Math. J. 9, No. 4, 59--71 (2017) Full Text: DOI MNR
Kravchenko, Vladislav V.; Navarro, Luis J.; Torba, Sergii M. Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. (English) Zbl 1426.34025 Appl. Math. Comput. 314, 173-192 (2017). MSC: 34A25 33C10 34L40 PDF BibTeX XML Cite \textit{V. V. Kravchenko} et al., Appl. Math. Comput. 314, 173--192 (2017; Zbl 1426.34025) Full Text: DOI
Shokri, Ali; Tahmourasi, Mortaza A new two-step Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation and related IVPs with oscillating solutions. (English) Zbl 1407.81095 Iran. J. Math. Chem. 8, No. 2, 137-159 (2017). MSC: 81Q05 34L40 81R05 65D15 PDF BibTeX XML Cite \textit{A. Shokri} and \textit{M. Tahmourasi}, Iran. J. Math. Chem. 8, No. 2, 137--159 (2017; Zbl 1407.81095) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. New two stages high order symmetric six-step method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1384.65047 J. Math. Chem. 55, No. 2, 503-531 (2017). MSC: 65L12 65L05 65L06 34L40 65L20 PDF BibTeX XML Cite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 55, No. 2, 503--531 (2017; Zbl 1384.65047) Full Text: DOI