Chu, Jifeng; Meng, Gang; Zhang, Meirong Continuity and minimization of spectrum related with the periodic Camassa-Holm equation. (English) Zbl 1513.34347 J. Differ. Equations 265, No. 4, 1678-1695 (2018). MSC: 34L15 34L40 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Differ. Equations 265, No. 4, 1678--1695 (2018; Zbl 1513.34347) Full Text: DOI
Khasanov, Akinazar B.; Mamatov, Abdugani E. On a method of calculating traces for the Dirac operator with a finite-zone potential on the semiaxis. (English) Zbl 1488.34467 Uzb. Math. J. 2018, No. 4, 91-100 (2018). MSC: 34L05 34L40 34L15 34B09 PDFBibTeX XMLCite \textit{A. B. Khasanov} and \textit{A. E. Mamatov}, Uzb. Math. J. 2018, No. 4, 91--100 (2018; Zbl 1488.34467) Full Text: DOI
Ozturk, Okkes A new perspective via fractional calculus for the radial Schrödinger equation. (English) Zbl 1461.34011 J. Math. Ext. 12, No. 2, 107-116 (2018). MSC: 34A08 34A34 34A05 34L40 26A33 PDFBibTeX XMLCite \textit{O. Ozturk}, J. Math. Ext. 12, No. 2, 107--116 (2018; Zbl 1461.34011) Full Text: Link
Liang, Jianli; Li, Jibin Bifurcations and exact solutions of nonlinear Schrödinger equation with an anti-cubic nonlinearity. (English) Zbl 1462.34051 J. Appl. Anal. Comput. 8, No. 4, 1194-1210 (2018). MSC: 34C05 34C37 34C23 34A05 34L40 PDFBibTeX XMLCite \textit{J. Liang} and \textit{J. Li}, J. Appl. Anal. Comput. 8, No. 4, 1194--1210 (2018; Zbl 1462.34051) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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
Band, Ram; Krueger, August J. Nonlinear Sturm oscillation: from the interval to a star. (English) Zbl 1485.34205 Bonetto, Federico (ed.) et al., Mathematical problems in quantum physics. QMATH13: Conference on mathematical results in quantum physics, Georgia Institute of Technology, Atlanta, GA, USA, October 8–11, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 717, 129-154 (2018). MSC: 34L10 34L40 34C10 34B45 PDFBibTeX XMLCite \textit{R. Band} and \textit{A. J. Krueger}, Contemp. Math. 717, 129--154 (2018; Zbl 1485.34205) 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 PDFBibTeX XMLCite \textit{V. V. Kravchenko}, Appl. Math. Comput. 328, 75--81 (2018; Zbl 1427.34023) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Ossipov}, J. Phys. A, Math. Theor. 51, No. 49, Article ID 495201, 12 p. (2018; Zbl 1411.35088) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{M. K. Mak} et al., Surv. Math. Appl. 13, 183--213 (2018; Zbl 1424.35150) Full Text: arXiv EMIS
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Moroz}, J. Phys. A, Math. Theor. 51, No. 29, Article ID 295201, 33 p. (2018; Zbl 1396.81230) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{J.-C. Cuenin} and \textit{P. Siegl}, Lett. Math. Phys. 108, No. 7, 1757--1778 (2018; Zbl 1402.34087) Full Text: DOI arXiv Link
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan Spectral enclosures for non-self-adjoint extensions of symmetric operators. (English) Zbl 1472.47018 J. Funct. Anal. 275, No. 7, 1808-1888 (2018). Reviewer: Fernando Lledó (Madrid) MSC: 47B25 47B28 35P05 35J25 81Q12 35J10 34L40 81Q35 PDFBibTeX XMLCite \textit{J. Behrndt} et al., J. Funct. Anal. 275, No. 7, 1808--1888 (2018; Zbl 1472.47018) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Ya. Prykarpatskyy}, J. Math. Sci., New York 231, No. 6, 820--826 (2018; Zbl 1401.34005) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. V. Kravchenko} et al., Appl. Anal. 97, No. 5, 677--704 (2018; Zbl 1395.34016) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{M. Klaus}, Oper. Matrices 12, No. 1, 55--106 (2018; Zbl 1394.34182) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{T. Combot}, J. Math. Phys. 59, No. 2, 022105, 32 p. (2018; Zbl 1387.81236) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. M. Ishkhanyan}, Ann. Phys. 388, 456--471 (2018; Zbl 1382.81088) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{H. Boumaza} and \textit{O. Lafitte}, J. Differ. Equations 264, No. 1, 455--505 (2018; Zbl 1392.34094) Full Text: DOI arXiv