Joshi, Nalini; Daalhuis, Adri Olde Exponentially-improved asymptotics for \(q\)-difference equations: \({}_2\phi_0\) and \(q{\rm P}_{\rm I}\). arXiv:2403.02196 Preprint, arXiv:2403.02196 [math.CA] (2024). MSC: 33D15 34M30 34M40 39A13 BibTeX Cite \textit{N. Joshi} and \textit{A. O. Daalhuis}, ``Exponentially-improved asymptotics for $q$-difference equations: ${}_2\phi_0$ and $q{\rm P}_{\rm I}$'', Preprint, arXiv:2403.02196 [math.CA] (2024) Full Text: arXiv OA License
Joshi, Nalini; Latimer, Tomas Lasic Asymptotic behaviours of \(q\)-orthogonal polynomials from a \(q\)-Riemann Hilbert problem. (English) Zbl 07735968 Constr. Approx. 58, No. 1, 151-179 (2023). MSC: 33C45 34M50 34M30 39A13 39A12 05A30 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{T. L. Latimer}, Constr. Approx. 58, No. 1, 151--179 (2023; Zbl 07735968) Full Text: DOI arXiv
Christianen, M. H. M.; Janssen, A. J. E. M.; Vlasiou, M.; Zwart, B. Asymptotic analysis of Emden-Fowler type equation with an application to power flow models. (English) Zbl 07732048 Indag. Math., New Ser. 34, No. 5, 1146-1180 (2023). Reviewer: Ábel Garab (Klagenfurt) MSC: 39A22 39A12 34D05 PDFBibTeX XMLCite \textit{M. H. M. Christianen} et al., Indag. Math., New Ser. 34, No. 5, 1146--1180 (2023; Zbl 07732048) Full Text: DOI arXiv
Nockowska-Rosiak, Magdalena; Pötzsche, Christian Monotonicity and discretization of Hammerstein integrodifference equations. (English) Zbl 1521.45009 J. Comput. Dyn. 10, No. 1, 223-247 (2023). Reviewer: Josef Kofroň (Praha) MSC: 45P05 45L05 45M05 45M10 47H07 47G10 39A99 65R20 PDFBibTeX XMLCite \textit{M. Nockowska-Rosiak} and \textit{C. Pötzsche}, J. Comput. Dyn. 10, No. 1, 223--247 (2023; Zbl 1521.45009) Full Text: DOI
Stewart, Gavin Asymptotics for small data solutions of the Ablowitz-Ladik equation. arXiv:2303.10496 Preprint, arXiv:2303.10496 [math.AP] (2023). MSC: 34E10 39A12 33E17 BibTeX Cite \textit{G. Stewart}, ``Asymptotics for small data solutions of the Ablowitz-Ladik equation'', Preprint, arXiv:2303.10496 [math.AP] (2023) Full Text: arXiv OA License
Yafaev, D. R. Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials. (English) Zbl 1527.33007 Bull. Math. Sci. 12, No. 3, Article ID 2250002, 89 p. (2022). MSC: 33C45 47B36 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Bull. Math. Sci. 12, No. 3, Article ID 2250002, 89 p. (2022; Zbl 1527.33007) Full Text: DOI arXiv
Wong, R.; Zhao, Yu-Qiu Recent advances in asymptotic analysis. (English) Zbl 1501.41009 Anal. Appl., Singap. 20, No. 6, 1103-1146 (2022). MSC: 41A60 39A06 45A05 45E10 PDFBibTeX XMLCite \textit{R. Wong} and \textit{Y.-Q. Zhao}, Anal. Appl., Singap. 20, No. 6, 1103--1146 (2022; Zbl 1501.41009) Full Text: DOI arXiv
Sakhnovich, Alexander Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices. (English) Zbl 1486.39024 Constr. Approx. 55, No. 2, 641-659 (2022). MSC: 39A45 15B05 30E10 34B20 39A12 33C45 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Constr. Approx. 55, No. 2, 641--659 (2022; Zbl 1486.39024) Full Text: DOI arXiv
Fedotov, A. A. Complex WKB method for a system of two linear difference equations. (English. Russian original) Zbl 1493.39022 St. Petersbg. Math. J. 33, No. 2, 405-425 (2022); translation from Algebra Anal. 33, No. 2, 298-326 (2021). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 39A45 39A10 39A12 39A06 34M30 34M60 PDFBibTeX XMLCite \textit{A. A. Fedotov}, St. Petersbg. Math. J. 33, No. 2, 405--425 (2022; Zbl 1493.39022); translation from Algebra Anal. 33, No. 2, 298--326 (2021) Full Text: DOI
Fedotov, Alexander; Shchetka, Ekaterina Difference equations in the complex plane: quasiclassical asymptotics and Berry phase. (English) Zbl 1484.39018 Appl. Anal. 101, No. 1, 274-296 (2022). MSC: 39A45 PDFBibTeX XMLCite \textit{A. Fedotov} and \textit{E. Shchetka}, Appl. Anal. 101, No. 1, 274--296 (2022; Zbl 1484.39018) Full Text: DOI arXiv
Gordoa, Pilar R.; Pickering, Andrew; Wattis, Jonathan A. D. Integrability and asymptotic behaviour of a differential-difference matrix equation. (English) Zbl 1493.37087 Physica D 415, Article ID 132754, 11 p. (2021). MSC: 37K60 37K10 37K35 39A36 PDFBibTeX XMLCite \textit{P. R. Gordoa} et al., Physica D 415, Article ID 132754, 11 p. (2021; Zbl 1493.37087) Full Text: DOI Link
Khalkhuzhaev, A. M.; Pardabaev, M. A. Asymptotics of eigenvalues of perturbed bilaplacian in the 1D lattice. (English) Zbl 1485.47064 Uzb. Math. J. 65, No. 4, 62-78 (2021). MSC: 47B93 39A12 81Q35 PDFBibTeX XMLCite \textit{A. M. Khalkhuzhaev} and \textit{M. A. Pardabaev}, Uzb. Math. J. 65, No. 4, 62--78 (2021; Zbl 1485.47064)
Golubenets, V. O. Relaxation oscillations in a logistic equation with state-in-the-past-dependent delay. (English. Russian original) Zbl 1470.92382 Theor. Math. Phys. 207, No. 3, 738-750 (2021); translation from Teor. Mat. Fiz. 207, No. 3, 389-402 (2021); erratum Theor. Math. Phys. 208, No. 3, 1318 (2021). MSC: 92D40 93C43 39A23 PDFBibTeX XMLCite \textit{V. O. Golubenets}, Theor. Math. Phys. 207, No. 3, 738--750 (2021; Zbl 1470.92382); translation from Teor. Mat. Fiz. 207, No. 3, 389--402 (2021); erratum Theor. Math. Phys. 208, No. 3, 1318 (2021) Full Text: DOI
Kholmatov, Shokhrukh; Pardabaev, Mardon On spectrum of the discrete bilaplacian with zero-range perturbation. (English) Zbl 1467.81043 Lobachevskii J. Math. 42, No. 6, 1286-1293 (2021). MSC: 81Q10 39A12 35J10 35P20 46F10 82B20 PDFBibTeX XMLCite \textit{S. Kholmatov} and \textit{M. Pardabaev}, Lobachevskii J. Math. 42, No. 6, 1286--1293 (2021; Zbl 1467.81043) Full Text: DOI
Fedotov, Alexander; Klopp, Frédéric WKB asymptotics of meromorphic solutions to difference equations. (English) Zbl 1476.39023 Appl. Anal. 100, No. 7, 1557-1573 (2021). MSC: 39A45 39A12 34M60 81Q20 PDFBibTeX XMLCite \textit{A. Fedotov} and \textit{F. Klopp}, Appl. Anal. 100, No. 7, 1557--1573 (2021; Zbl 1476.39023) Full Text: DOI arXiv
Nesterov, Pavel On the dynamics of certain higher-order scalar difference equation: asymptotics, oscillation, stability. (English) Zbl 1496.39007 Turk. J. Math. 44, No. 5, 1612-1639 (2020). MSC: 39A21 39A22 39A30 PDFBibTeX XMLCite \textit{P. Nesterov}, Turk. J. Math. 44, No. 5, 1612--1639 (2020; Zbl 1496.39007) Full Text: DOI
Lyalinov, Mikhail A. Functional difference equations and eigenfunctions of a Schrödinger operator with \(\delta' -\) interaction on a circular conical surface. (English) Zbl 1472.35105 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200179, 23 p. (2020). MSC: 35J05 39A13 81Q10 PDFBibTeX XMLCite \textit{M. A. Lyalinov}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200179, 23 p. (2020; Zbl 1472.35105) Full Text: DOI Link
Yafaev, D. R. Semiclassical asymptotic behavior of orthogonal polynomials. (English) Zbl 1460.33014 Lett. Math. Phys. 110, No. 11, 2857-2891 (2020). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Lett. Math. Phys. 110, No. 11, 2857--2891 (2020; Zbl 1460.33014) Full Text: DOI arXiv
Tahara, Hidetoshi On the summability of formal solutions of some linear \(q\)-difference-differential equations. (English) Zbl 1447.35115 Funkc. Ekvacioj, Ser. Int. 63, No. 2, 259-291 (2020). MSC: 35C20 35C10 39A13 PDFBibTeX XMLCite \textit{H. Tahara}, Funkc. Ekvacioj, Ser. Int. 63, No. 2, 259--291 (2020; Zbl 1447.35115) Full Text: DOI arXiv
Yafaev, D. R. Asymptotic behavior of orthogonal polynomials without the Carleman condition. (English) Zbl 1448.33011 J. Funct. Anal. 279, No. 7, Article ID 108648, 36 p. (2020). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, J. Funct. Anal. 279, No. 7, Article ID 108648, 36 p. (2020; Zbl 1448.33011) Full Text: DOI arXiv
Andreucci, Daniele; Tedeev, Anatoli F. Asymptotic estimates for the \(p\)-Laplacian on infinite graphs with decaying initial data. (English) Zbl 1442.35490 Potential Anal. 53, No. 2, 677-699 (2020). MSC: 35R02 58J35 39A12 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Potential Anal. 53, No. 2, 677--699 (2020; Zbl 1442.35490) Full Text: DOI arXiv
Zhou, Jun; Shen, Jun; Zhang, Weinian Growth in an impulsive integral inequality. (English) Zbl 1488.39028 Appl. Math. Comput. 377, Article ID 125152, 18 p. (2020). MSC: 39A22 26D15 PDFBibTeX XMLCite \textit{J. Zhou} et al., Appl. Math. Comput. 377, Article ID 125152, 18 p. (2020; Zbl 1488.39028) Full Text: DOI
Li, Yu-Tian; Wang, Xiang-Sheng; Wong, Roderick Asymptotics of the Wilson polynomials. (English) Zbl 1435.33010 Anal. Appl., Singap. 18, No. 2, 237-270 (2020). MSC: 33C45 39A06 41A60 PDFBibTeX XMLCite \textit{Y.-T. Li} et al., Anal. Appl., Singap. 18, No. 2, 237--270 (2020; Zbl 1435.33010) Full Text: DOI
Erdal, İbrahim; Yardimci, Şeyhmus Eigenvalues and scattering properties of difference operators with impulsive condition. (English) Zbl 1487.39026 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 663-671 (2019). MSC: 39A60 34L15 34L25 PDFBibTeX XMLCite \textit{İ. Erdal} and \textit{Ş. Yardimci}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 663--671 (2019; Zbl 1487.39026) Full Text: DOI
Spigler, Renato Canonical forms and discrete Liouville-Green asymptotics for second-order linear difference equations. (English) Zbl 1485.39001 Adv. Difference Equ. 2019, Paper No. 361, 32 p. (2019). MSC: 39A05 39A06 39A12 PDFBibTeX XMLCite \textit{R. Spigler}, Adv. Difference Equ. 2019, Paper No. 361, 32 p. (2019; Zbl 1485.39001) Full Text: DOI
Joshi, N.; Lustri, C. J.; Luu, S. Nonlinear \(q\)-Stokes phenomena for \(q\)-Painlevé. I. (English) Zbl 1425.39005 J. Phys. A, Math. Theor. 52, No. 6, Article ID 065204, 30 p. (2019). MSC: 39A12 39A13 34M55 41A60 33E17 PDFBibTeX XMLCite \textit{N. Joshi} et al., J. Phys. A, Math. Theor. 52, No. 6, Article ID 065204, 30 p. (2019; Zbl 1425.39005) Full Text: DOI arXiv
Zhu, Fuguo; Pan, Shuxia Minimal wave speed of a competitive integrodifference system. (English) Zbl 1419.45005 Int. J. Biomath. 12, No. 3, Article ID 1950031, 12 p. (2019). MSC: 45J05 45M05 92D40 39A12 PDFBibTeX XMLCite \textit{F. Zhu} and \textit{S. Pan}, Int. J. Biomath. 12, No. 3, Article ID 1950031, 12 p. (2019; Zbl 1419.45005) Full Text: DOI
Adachi, Shunya The \(q\)-Borel sum of divergent basic hypergeometric series \(_r\phi_s(a;b;q,x)\). (English) Zbl 1428.33031 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 016, 12 p. (2019). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 33D15 39A13 34M30 PDFBibTeX XMLCite \textit{S. Adachi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 016, 12 p. (2019; Zbl 1428.33031) Full Text: DOI arXiv
Roitberg, Inna; Sakhnovich, Alexander The discrete self-adjoint Dirac systems of general type: explicit solutions of direct and inverse problems, asymptotics of Verblunsky-type coefficients and the stability of solving of the inverse problem. (English) Zbl 1423.39007 J. Math. Phys. Anal. Geom. 14, No. 4, 532-548 (2018). MSC: 39A12 39A30 34K29 47A57 PDFBibTeX XMLCite \textit{I. Roitberg} and \textit{A. Sakhnovich}, J. Math. Phys. Anal. Geom. 14, No. 4, 532--548 (2018; Zbl 1423.39007) Full Text: DOI arXiv
Fedotov, A. A. A monodromy matrix for the almost Mathieu equation with small coupling constant. (English. Russian original) Zbl 1416.39012 Funct. Anal. Appl. 52, No. 4, 311-315 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 89-93 (2018). MSC: 39A70 39A06 81Q20 34B30 PDFBibTeX XMLCite \textit{A. A. Fedotov}, Funct. Anal. Appl. 52, No. 4, 311--315 (2018; Zbl 1416.39012); translation from Funkts. Anal. Prilozh. 52, No. 4, 89--93 (2018) Full Text: DOI
Yafaev, D. R. Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. (English) Zbl 1405.33014 Rev. Math. Phys. 30, No. 8, Article ID 1840019, 47 p. (2018). MSC: 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Rev. Math. Phys. 30, No. 8, Article ID 1840019, 47 p. (2018; Zbl 1405.33014) Full Text: DOI
Yafaev, D. R. Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. (English) Zbl 1397.81067 Ge, Mo-Lin (ed.) et al., Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific (ISBN 978-981-3233-76-8/hbk; 978-981-3233-87-4/ebook). 567-613 (2018). MSC: 81Q05 39A12 81U20 81Q10 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, in: Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific. 567--613 (2018; Zbl 1397.81067) Full Text: DOI arXiv
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
Joshi, N.; Lustri, C. J.; Luu, S. Stokes phenomena in discrete Painlevé II. (English) Zbl 1404.39005 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160539, 20 p. (2017). MSC: 39A12 PDFBibTeX XMLCite \textit{N. Joshi} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160539, 20 p. (2017; Zbl 1404.39005) Full Text: DOI arXiv
Fedotov, A. A. Quasiclassical asymptotics of Malyuzhinets functions. (English. Russian original) Zbl 1380.39022 J. Math. Sci., New York 226, No. 6, 810-816 (2017); translation from Zap. Nauchn. Semin. POMI 451, 178-187 (2016). MSC: 39A45 39A22 PDFBibTeX XMLCite \textit{A. A. Fedotov}, J. Math. Sci., New York 226, No. 6, 810--816 (2017; Zbl 1380.39022); translation from Zap. Nauchn. Semin. POMI 451, 178--187 (2016) Full Text: DOI
Cepale, Matteo; Spigler, Renato Liouville-Green (WKB) asymptotics for almost-diagonal linear second-order matrix difference equations. (English) Zbl 1386.39003 J. Difference Equ. Appl. 23, No. 10, 1707-1736 (2017). MSC: 39A06 39A10 39B42 PDFBibTeX XMLCite \textit{M. Cepale} and \textit{R. Spigler}, J. Difference Equ. Appl. 23, No. 10, 1707--1736 (2017; Zbl 1386.39003) Full Text: DOI
Appleby, John A. D.; Patterson, Denis D. Large fluctuations and growth rates of linear Volterra summation equations. (English) Zbl 1378.39002 J. Difference Equ. Appl. 23, No. 6, 1047-1080 (2017). Reviewer: Miloš Čanak (Beograd) MSC: 39A06 39A22 PDFBibTeX XMLCite \textit{J. A. D. Appleby} and \textit{D. D. Patterson}, J. Difference Equ. Appl. 23, No. 6, 1047--1080 (2017; Zbl 1378.39002) Full Text: DOI arXiv
Protasov, Vladimir Yu. The Euler binary partition function and subdivision schemes. (English) Zbl 1358.05024 Math. Comput. 86, No. 305, 1499-1524 (2017). MSC: 05A17 39A99 11P99 65D17 15A60 PDFBibTeX XMLCite \textit{V. Yu. Protasov}, Math. Comput. 86, No. 305, 1499--1524 (2017; Zbl 1358.05024) Full Text: DOI
Bell, Jason P.; Coons, Michael Transcendence tests for Mahler functions. (English) Zbl 1365.11092 Proc. Am. Math. Soc. 145, No. 3, 1061-1070 (2017). Reviewer: Robert F. Tichy (Graz) MSC: 11J91 39A06 PDFBibTeX XMLCite \textit{J. P. Bell} and \textit{M. Coons}, Proc. Am. Math. Soc. 145, No. 3, 1061--1070 (2017; Zbl 1365.11092) Full Text: DOI arXiv
Zhang, Shao-Yan; Wang, Qi-Ru; Kong, Qingkai Asymptotics and oscillation of \(n\)th-order nonlinear dynamic equations on time scales. (English) Zbl 1410.34273 Appl. Math. Comput. 275, 324-334 (2016). MSC: 34N05 34C10 34D05 39A12 PDFBibTeX XMLCite \textit{S.-Y. Zhang} et al., Appl. Math. Comput. 275, 324--334 (2016; Zbl 1410.34273) Full Text: DOI
Joshi, Nalini; Roffelsen, Pieter Analytic solutions of \(q\)-\(P(A_1)\) near its critical points. (English) Zbl 1356.33008 Nonlinearity 29, No. 12, 3696-3742 (2016). MSC: 33E17 39A13 39A45 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{P. Roffelsen}, Nonlinearity 29, No. 12, 3696--3742 (2016; Zbl 1356.33008) Full Text: DOI arXiv
Hall, Cameron L.; Lustri, Christopher J. Multiple scales and matched asymptotic expansions for the discrete logistic equation. (English) Zbl 1355.39006 Nonlinear Dyn. 85, No. 2, 1345-1362 (2016). MSC: 39A12 39A28 34E13 PDFBibTeX XMLCite \textit{C. L. Hall} and \textit{C. J. Lustri}, Nonlinear Dyn. 85, No. 2, 1345--1362 (2016; Zbl 1355.39006) Full Text: DOI arXiv Link
Keller, Matthias; Münch, Florentin; Pogorzelski, Felix Geometry and spectrum of rapidly branching graphs. (English) Zbl 1350.05108 Math. Nachr. 289, No. 13, 1636-1647 (2016). MSC: 05C63 05C50 05C07 39A70 58J50 PDFBibTeX XMLCite \textit{M. Keller} et al., Math. Nachr. 289, No. 13, 1636--1647 (2016; Zbl 1350.05108) Full Text: DOI arXiv
Malygina, V. V.; Chudinov, K. M. Asymptotics of solutions of difference equations with delays. (English. Russian original) Zbl 1361.39007 Russ. Math. 60, No. 7, 56-70 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 7, 66-82 (2016). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 39A30 39A10 39A12 34K06 39A22 PDFBibTeX XMLCite \textit{V. V. Malygina} and \textit{K. M. Chudinov}, Russ. Math. 60, No. 7, 56--70 (2016; Zbl 1361.39007); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 7, 66--82 (2016) Full Text: DOI
Kevei, Péter A note on the Kesten-Grincevičius-Goldie theorem. (English) Zbl 1345.60021 Electron. Commun. Probab. 21, Paper No. 51, 12 p. (2016). MSC: 60F10 60K05 60G50 39A50 60H99 60H25 60E99 PDFBibTeX XMLCite \textit{P. Kevei}, Electron. Commun. Probab. 21, Paper No. 51, 12 p. (2016; Zbl 1345.60021) Full Text: DOI arXiv Euclid
Joshi, N.; Lobb, S. B. Singular dynamics of a \(q\)-difference Painlevé equation in its initial-value space. (English) Zbl 1344.39007 J. Phys. A, Math. Theor. 49, No. 1, Article ID 014002, 24 p. (2016). MSC: 39A13 39A12 34M55 39A22 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{S. B. Lobb}, J. Phys. A, Math. Theor. 49, No. 1, Article ID 014002, 24 p. (2016; Zbl 1344.39007) Full Text: DOI arXiv
Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A. Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves. (English) Zbl 1361.47004 Geom. Funct. Anal. 26, No. 1, 288-305 (2016). Reviewer: Sergey Ludkovsky (Moskva) MSC: 47B25 47A10 47B39 14H81 39A70 14J30 14J32 PDFBibTeX XMLCite \textit{A. Laptev} et al., Geom. Funct. Anal. 26, No. 1, 288--305 (2016; Zbl 1361.47004) Full Text: DOI arXiv
Wang, X.-S.; Wong, R. Asymptotics of Racah polynomials with varying parameters. (English) Zbl 1332.33019 J. Math. Anal. Appl. 436, No. 2, 1149-1164 (2016). MSC: 33C45 39A13 PDFBibTeX XMLCite \textit{X. S. Wang} and \textit{R. Wong}, J. Math. Anal. Appl. 436, No. 2, 1149--1164 (2016; Zbl 1332.33019) Full Text: DOI
Shinjo, Masato; Nakamura, Yoshimasa; Iwasaki, Masashi; Kondo, Koichi Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system. arXiv:1603.01963 Preprint, arXiv:1603.01963 [math-ph] (2016). MSC: 15A15 15A18 37K10 37K40 39A12 40A05 45M05 65F15 BibTeX Cite \textit{M. Shinjo} et al., ``Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system'', Preprint, arXiv:1603.01963 [math-ph] (2016) Full Text: arXiv OA License
Messina, E.; Vecchio, A. Nonlinear stability of direct quadrature methods for Volterra integral equations. (English) Zbl 07313353 Math. Comput. Simul. 110, 155-164 (2015). MSC: 39A30 45D05 45M05 65R20 PDFBibTeX XMLCite \textit{E. Messina} and \textit{A. Vecchio}, Math. Comput. Simul. 110, 155--164 (2015; Zbl 07313353) Full Text: DOI
Carcamo, Cristian; Vidal, Claudio Stability of equilibrium solutions in planar Hamiltonian difference systems. (English) Zbl 1344.39010 Can. J. Math. 67, No. 6, 1270-1289 (2015). Reviewer: Fei Xue (Hartford) MSC: 39A30 39A12 34D20 34E10 37J25 39A10 PDFBibTeX XMLCite \textit{C. Carcamo} and \textit{C. Vidal}, Can. J. Math. 67, No. 6, 1270--1289 (2015; Zbl 1344.39010) Full Text: DOI
Bodine, Sigrun; Lutz, Donald A. Asymptotic integration of differential and difference equations. (English) Zbl 1331.34001 Lecture Notes in Mathematics 2129. Cham: Springer (ISBN 978-3-319-18247-6/pbk; 978-3-319-18248-3/ebook). xi, 402 p. (2015). Reviewer: Pavel Rehak (Brno) MSC: 34-02 34E10 34A30 39A06 34N05 34C41 39A22 34D05 PDFBibTeX XMLCite \textit{S. Bodine} and \textit{D. A. Lutz}, Asymptotic integration of differential and difference equations. Cham: Springer (2015; Zbl 1331.34001) Full Text: DOI
Dean, A. D.; Matthews, P. C.; Cox, S. M.; King, J. R. Orientation-dependent pinning and homoclinic snaking on a planar lattice. (English) Zbl 1370.37137 SIAM J. Appl. Dyn. Syst. 14, No. 1, 481-521 (2015). MSC: 37L60 39A60 PDFBibTeX XMLCite \textit{A. D. Dean} et al., SIAM J. Appl. Dyn. Syst. 14, No. 1, 481--521 (2015; Zbl 1370.37137) Full Text: DOI arXiv Link
Habibullin, I. T.; Poptsova, M. N. Asymptotic diagonalization of the discrete Lax pair around singularities and conservation laws for dynamical systems. (English) Zbl 1320.39006 J. Phys. A, Math. Theor. 48, No. 11, Article ID 115203, 37 p. (2015). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 39A12 37K05 34E10 PDFBibTeX XMLCite \textit{I. T. Habibullin} and \textit{M. N. Poptsova}, J. Phys. A, Math. Theor. 48, No. 11, Article ID 115203, 37 p. (2015; Zbl 1320.39006) Full Text: DOI arXiv
Ruijsenaars, Simon N. M. Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type IV. The relativistic Heun (van Diejen) case. (English) Zbl 1316.81036 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 004, 78 p. (2015). MSC: 81Q10 33E05 33E30 39A45 45C05 47B39 81Q05 81Q80 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 004, 78 p. (2015; Zbl 1316.81036) Full Text: DOI arXiv EMIS
Nechvátal, Luděk On asymptotics of discrete Mittag-Leffler function. (English) Zbl 1349.33017 Math. Bohem. 139, No. 4, 667-675 (2014). Reviewer: Sergei V. Rogosin (Minsk) MSC: 33E12 34A08 39A12 PDFBibTeX XMLCite \textit{L. Nechvátal}, Math. Bohem. 139, No. 4, 667--675 (2014; Zbl 1349.33017) Full Text: Link
Aptekarev, A. I.; Tulyakov, D. N. The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations. (English. Russian original) Zbl 1317.39001 Sb. Math. 205, No. 12, 1696-1719 (2014); translation from Mat. Sb. 205, No. 12, 17-40 (2014). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 39A06 39A22 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{D. N. Tulyakov}, Sb. Math. 205, No. 12, 1696--1719 (2014; Zbl 1317.39001); translation from Mat. Sb. 205, No. 12, 17--40 (2014) Full Text: DOI
Wang, Xiang-Sheng Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients. (English) Zbl 1302.39006 J. Approx. Theory 188, 1-18 (2014). MSC: 39A06 39A22 PDFBibTeX XMLCite \textit{X.-S. Wang}, J. Approx. Theory 188, 1--18 (2014; Zbl 1302.39006) Full Text: DOI arXiv
Olver, F. W. J. Mathematics that has intrigued me. (English) Zbl 1295.33001 Anal. Appl., Singap. 12, No. 4, 341-354 (2014). MSC: 33-03 01A70 39A06 65-05 PDFBibTeX XMLCite \textit{F. W. J. Olver}, Anal. Appl., Singap. 12, No. 4, 341--354 (2014; Zbl 1295.33001) Full Text: DOI
O’Malley, Robert E. jun. Book review of: W. Paulsen, Asymptotic analysis and perturbation theory. (English) Zbl 1302.00036 SIAM Rev. 56, No. 2, 379-380 (2014). MSC: 00A17 34-01 34A25 34E05 34E20 34B30 34E13 34E10 39A10 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.}, SIAM Rev. 56, No. 2, 379--380 (2014; Zbl 1302.00036) Full Text: DOI
Harrell, Evans M. II; Wong, Manwah Lilian On the behavior at infinity of solutions to difference equations in Schrödinger form. (English) Zbl 1297.39009 Oper. Matrices 8, No. 2, 357-387 (2014). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 39A12 39A10 39A06 39A22 34E10 34C41 34E20 PDFBibTeX XMLCite \textit{E. M. Harrell II} and \textit{M. L. Wong}, Oper. Matrices 8, No. 2, 357--387 (2014; Zbl 1297.39009) Full Text: arXiv Link
Paulsen, William Asymptotic analysis and perturbation theory. (English) Zbl 1287.34001 Boca Raton, FL: CRC Press (ISBN 978-1-4665-1511-6/hbk; 978-1-4665-1512-3/ebook). xxiii, 526 p. (2014). Reviewer: Oleg Anashkin (Simferopol) MSC: 34-01 34A25 34E05 34E20 34B30 34E13 34E10 39A10 PDFBibTeX XMLCite \textit{W. Paulsen}, Asymptotic analysis and perturbation theory. Boca Raton, FL: CRC Press (2014; Zbl 1287.34001) Full Text: DOI
Comech, Andrew Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator. (English) Zbl 1277.39010 Discrete Contin. Dyn. Syst. 33, No. 7, 2711-2755 (2013). MSC: 39A12 35B40 35B41 35C08 37K40 37L30 65M06 65M12 65N06 81Q05 PDFBibTeX XMLCite \textit{A. Comech}, Discrete Contin. Dyn. Syst. 33, No. 7, 2711--2755 (2013; Zbl 1277.39010) Full Text: DOI arXiv
Joshi, Nalini An Overview of Geometric Asymptotic Analysis of Continuous and Discrete Painlevé Equations. arXiv:1311.6194 Preprint, arXiv:1311.6194 [nlin.SI] (2013). MSC: 34M30 39A13 34M55 BibTeX Cite \textit{N. Joshi}, ``An Overview of Geometric Asymptotic Analysis of Continuous and Discrete Painlev\'e Equations'', Preprint, arXiv:1311.6194 [nlin.SI] (2013) Full Text: arXiv OA License
Marín Ramirez, Ana Magnolia; Ortíz Ortíz, Ruben Dario; Rodriguez Ceballos, Joel Arturo Trapping of shallow water waves. (English) Zbl 1263.76015 Far East J. Appl. Math. 69, No. 1, 19-27 (2012). MSC: 76B15 39A10 PDFBibTeX XMLCite \textit{A. M. Marín Ramirez} et al., Far East J. Appl. Math. 69, No. 1, 19--27 (2012; Zbl 1263.76015) Full Text: Link
Marín, Ana Magnolia; Ortíz, Ruben Dario; Rodriguez Ceballos, Joel Arturo Resonances for the discrete shallow water equation. (English) Zbl 1309.76037 Far East J. Appl. Math. 68, No. 2, 117-129 (2012). MSC: 76B15 39A10 PDFBibTeX XMLCite \textit{A. M. Marín} et al., Far East J. Appl. Math. 68, No. 2, 117--129 (2012; Zbl 1309.76037) Full Text: Link
Marín Ramirez, A. M.; Ortíz Ortíz, R. D.; Rodriguez Ceballos, J. A. Trapping waves in shallow water wells. (English) Zbl 1247.76018 Far East J. Appl. Math. 64, No. 1, 1-13 (2012). MSC: 76B15 39A10 PDFBibTeX XMLCite \textit{A. M. Marín Ramirez} et al., Far East J. Appl. Math. 64, No. 1, 1--13 (2012; Zbl 1247.76018) Full Text: Link
Sidorov, Denis; Sidorov, Nikolai Solution to the Volterra Operator Equations of the 1st kind with Piecewise Continuous Kernels. arXiv:1208.3604 Preprint, arXiv:1208.3604 [math.DS] (2012). MSC: 39B42 45D05 39A10 45M05 BibTeX Cite \textit{D. Sidorov} and \textit{N. Sidorov}, ``Solution to the Volterra Operator Equations of the 1st kind with Piecewise Continuous Kernels'', Preprint, arXiv:1208.3604 [math.DS] (2012) Full Text: arXiv OA License
Dolbeault, Jean; Toscani, Giuseppe Fast diffusion equations: matching large time asymptotics by relative entropy methods. (English) Zbl 1252.35065 Kinet. Relat. Models 4, No. 3, 701-716 (2011). MSC: 35B40 39B62 35C20 35K65 35K59 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{G. Toscani}, Kinet. Relat. Models 4, No. 3, 701--716 (2011; Zbl 1252.35065) Full Text: DOI arXiv
Berg, Lothar; Stević, Stevo On some systems of difference equations. (English) Zbl 1243.39009 Appl. Math. Comput. 218, No. 5, 1713-1718 (2011). Reviewer: Vu Hoang Linh (Hanoi) MSC: 39A20 39A22 39A23 39A30 PDFBibTeX XMLCite \textit{L. Berg} and \textit{S. Stević}, Appl. Math. Comput. 218, No. 5, 1713--1718 (2011; Zbl 1243.39009) Full Text: DOI
Geronimo, J. S.; Golinskii, L. On Baxter’s difference systems. (English) Zbl 1260.39004 J. Approx. Theory 163, No. 10, 1522-1533 (2011). MSC: 39A10 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{L. Golinskii}, J. Approx. Theory 163, No. 10, 1522--1533 (2011; Zbl 1260.39004) Full Text: DOI arXiv
Golinskii, Leonid B.; Kheifets, Alexander; Yuditskii, Peter On the scattering problem in Ryckman’s class of Jacobi matrices. (English) Zbl 1235.47030 J. Spectr. Theory 1, No. 2, 111-121 (2011). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B36 39A12 47A40 PDFBibTeX XMLCite \textit{L. B. Golinskii} et al., J. Spectr. Theory 1, No. 2, 111--121 (2011; Zbl 1235.47030) Full Text: DOI arXiv
Berezansky, L.; Diblík, J.; Růžičková, M.; Šutá, Z. Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case. (English) Zbl 1220.39004 Abstr. Appl. Anal. 2011, Article ID 709427, 15 p. (2011). MSC: 39A12 39A06 34K06 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Abstr. Appl. Anal. 2011, Article ID 709427, 15 p. (2011; Zbl 1220.39004) Full Text: DOI
Malejki, Maria Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices. (English) Zbl 1235.47031 Opusc. Math. 30, No. 3, 311-330 (2010). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B36 47A75 47B25 39A70 15A18 PDFBibTeX XMLCite \textit{M. Malejki}, Opusc. Math. 30, No. 3, 311--330 (2010; Zbl 1235.47031) Full Text: DOI
Vu Van Khuong; Mai Nam Phong A note on the positive nonoscillatory solutions of the difference equation \(x_{n+1} = \frac{\alpha}{\sum_{i=0}^{k-1} c_i x_{n-i}} + \left(\frac {x_{n-k}}{\sum_{i=0}^{k-1}c_i x_{n-i}}\right)^p\). (English) Zbl 1225.39015 Int. J. Math. Anal., Ruse 4, No. 33-36, 1787-1798 (2010). Reviewer: Pavel Rehak (Brno) MSC: 39A20 39A22 PDFBibTeX XMLCite \textit{Vu Van Khuong} and \textit{Mai Nam Phong}, Int. J. Math. Anal., Ruse 4, No. 33--36, 1787--1798 (2010; Zbl 1225.39015) Full Text: Link
Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P. Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. (English) Zbl 1214.35067 IMA J. Appl. Math. 75, No. 5, 676-719 (2010). MSC: 35Q60 35J05 78A45 39A14 65R20 35C15 PDFBibTeX XMLCite \textit{M. A. Lyalinov} et al., IMA J. Appl. Math. 75, No. 5, 676--719 (2010; Zbl 1214.35067) Full Text: DOI Link
Ismail, Mourad E. H.; Mansour, Z. S. I. \(q\)-analogues of Freud weights and nonlinear difference equations. (English) Zbl 1211.39007 Adv. Appl. Math. 45, No. 4, 518-547 (2010). Reviewer: Andrei A. Kapaev (Trieste) MSC: 39A13 42C05 33D50 33C47 33E17 41A17 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{Z. S. I. Mansour}, Adv. Appl. Math. 45, No. 4, 518--547 (2010; Zbl 1211.39007) Full Text: DOI
Shah, Trupti P.; George, Raju K. Asymptotic equivalence of discrete Volterra systems. (English) Zbl 1201.39002 Bull. Allahabad Math. Soc. 25, No. 1, 125-135 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 45D05 45G10 45M05 PDFBibTeX XMLCite \textit{T. P. Shah} and \textit{R. K. George}, Bull. Allahabad Math. Soc. 25, No. 1, 125--135 (2010; Zbl 1201.39002)
Vu Van Khuong; Mai Nam Phong A note on boundedness, periodic nature and positive nonoscillatory solution of rational difference equation. (English) Zbl 1201.39010 Panam. Math. J. 20, No. 2, 53-65 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A22 39A20 39A21 39A23 PDFBibTeX XMLCite \textit{Vu Van Khuong} and \textit{Mai Nam Phong}, Panam. Math. J. 20, No. 2, 53--65 (2010; Zbl 1201.39010)
Kopylova, E. A. On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to a nonlinear oscillator. (English) Zbl 1207.39021 Appl. Anal. 89, No. 9, 1467-1492 (2010). Reviewer: Fei Xue (Hartford) MSC: 39A30 39A14 39A12 35Q40 81Q05 37K10 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Appl. Anal. 89, No. 9, 1467--1492 (2010; Zbl 1207.39021) Full Text: DOI
Lin, Guo; Li, WanTong; Ruan, ShiGui Asymptotic stability of monostable wavefronts in discrete-time integral recursions. (English) Zbl 1197.35054 Sci. China, Math. 53, No. 5, 1185-1194 (2010). MSC: 35B40 45M05 92D25 35A18 39A12 35B35 35B51 PDFBibTeX XMLCite \textit{G. Lin} et al., Sci. China, Math. 53, No. 5, 1185--1194 (2010; Zbl 1197.35054) Full Text: DOI
Kevrekidis, Panayotis G. Statistical mechanics of DNLS. (English) Zbl 1187.39011 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 369-377 (2009). Reviewer: Utkir Rozikov (Tashkent) MSC: 39A12 35Q55 82C20 37K60 PDFBibTeX XMLCite \textit{P. G. Kevrekidis}, Springer Tracts Mod. Phys. 232, 369--377 (2009; Zbl 1187.39011) Full Text: DOI
Tulyakov, D. N. Difference equations having bases with powerlike growth which are perturbed by a spectral parameter. (English. Russian original) Zbl 1184.39007 Sb. Math. 200, No. 5, 753-781 (2009); translation from Mat. Sb. 200, No. 5, 129-158 (2009). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A22 42C05 PDFBibTeX XMLCite \textit{D. N. Tulyakov}, Sb. Math. 200, No. 5, 753--781 (2009; Zbl 1184.39007); translation from Mat. Sb. 200, No. 5, 129--158 (2009) Full Text: DOI
Pötzsche, Christian A functional-analytical approach to the asymptotics of recursions. (English) Zbl 1180.39019 Proc. Am. Math. Soc. 137, No. 10, 3297-3307 (2009). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A22 47H09 46T20 47H10 47J05 65Q10 65Q30 PDFBibTeX XMLCite \textit{C. Pötzsche}, Proc. Am. Math. Soc. 137, No. 10, 3297--3307 (2009; Zbl 1180.39019) Full Text: DOI
Kharkov, Vitaliy Asymptotic behavior of a class of solutions of second-order Emden-Fowler difference equations. (English) Zbl 1172.39012 Bohner, Martin (ed.) et al., Difference equations and applications. Proceedings of the fourteenth international conference on difference equations and applications (ICDEA), Istanbul, Turkey, July 21–25, 2008. Istanbul: Bahçeşehir University Press (ISBN 978-975-6437-80-3/pbk). 219-226 (2009). MSC: 39A11 39A12 34D05 PDFBibTeX XMLCite \textit{V. Kharkov}, in: Difference equations and applications. Proceedings of the fourteenth international conference on difference equations and applications (ICDEA), Istanbul, Turkey, July 21--25, 2008. Istanbul: Bahçeşehir University Press. 219--226 (2009; Zbl 1172.39012)
Agarwal, Ravi P.; Pinelas, Sandra Qualitative theory of divided difference first order systems. (English) Zbl 1176.39013 Commun. Appl. Nonlinear Anal. 16, No. 2, 83-105 (2009). Reviewer: Lothar Berg (Rostock) MSC: 39A30 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{S. Pinelas}, Commun. Appl. Nonlinear Anal. 16, No. 2, 83--105 (2009; Zbl 1176.39013)
Vu Van Khuong A note on the difference equation \(x_{n+1}=a+\left(\frac{x_{n-k}}{\sum^{k-1}_{i=0}c_ix_{n-i}}\right)^p\). (English) Zbl 1181.39013 Panam. Math. J. 19, No. 1, 67-77 (2009). Reviewer: Lothar Berg (Rostock) MSC: 39A20 39A22 PDFBibTeX XMLCite \textit{Vu Van Khuong}, Panam. Math. J. 19, No. 1, 67--77 (2009; Zbl 1181.39013)
Bertola, M.; Mo, M. Y. Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. (English) Zbl 1153.39027 Adv. Math. 220, No. 1, 154-218 (2009). Reviewer: Christian Pötzsche (München) MSC: 39A70 47B39 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{M. Y. Mo}, Adv. Math. 220, No. 1, 154--218 (2009; Zbl 1153.39027) Full Text: DOI arXiv
Stević, Stevo On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\). (English) Zbl 1155.39305 Comput. Math. Appl. 56, No. 5, 1159-1171 (2008). MSC: 39A23 PDFBibTeX XMLCite \textit{S. Stević}, Comput. Math. Appl. 56, No. 5, 1159--1171 (2008; Zbl 1155.39305) Full Text: DOI
van den Berg, Imme P. Asymptotics of families of solutions of nonlinear difference equations. (English) Zbl 1170.39006 Log. Anal. 1, No. 2, 153-185 (2008). Reviewer: Christian Pötzsche (München) MSC: 39A30 39A10 26E35 PDFBibTeX XMLCite \textit{I. P. van den Berg}, Log. Anal. 1, No. 2, 153--185 (2008; Zbl 1170.39006) Full Text: DOI Link
van den Berg, I. P. Asymptotic solutions of nonlinear difference equations. (English) Zbl 1170.39005 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 635-660 (2008). Reviewer: Christian Pötzsche (München) MSC: 39A30 39A10 26E35 PDFBibTeX XMLCite \textit{I. P. van den Berg}, Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 635--660 (2008; Zbl 1170.39005) Full Text: DOI EuDML Link
Immink, G. K Exact asymptotics of nonlinear difference equations with levels 1 and \(1^{ + }\). (English) Zbl 1160.39003 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 2, 309-356 (2008). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 30D05 30E10 39B32 39A10 PDFBibTeX XMLCite \textit{G. K Immink}, Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 2, 309--356 (2008; Zbl 1160.39003) Full Text: DOI Numdam EuDML
Sedaghat, H. Open problems and conjectures. On third-order rational difference equations with quadratic terms. (English) Zbl 1152.39010 J. Difference Equ. Appl. 14, No. 8, 889-897 (2008). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{H. Sedaghat}, J. Difference Equ. Appl. 14, No. 8, 889--897 (2008; Zbl 1152.39010) Full Text: DOI
Bodine, Sigrun; Lutz, D. A. A Hartman-Wintner theorem for dynamic equations on time scales. (English) Zbl 1141.39018 J. Difference Equ. Appl. 14, No. 1, 1-16 (2008). MSC: 39A12 39A11 34E10 PDFBibTeX XMLCite \textit{S. Bodine} and \textit{D. A. Lutz}, J. Difference Equ. Appl. 14, No. 1, 1--16 (2008; Zbl 1141.39018) Full Text: DOI
Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. (English) Zbl 1148.35087 J. Funct. Anal. 254, No. 8, 2227-2254 (2008). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35Q55 35Q53 35B40 35P05 39A12 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Funct. Anal. 254, No. 8, 2227--2254 (2008; Zbl 1148.35087) Full Text: DOI
Soldà, Tania; Spigler, Renato; Vianello, Marco Asymptotic approximations for second-order linear difference equations in Banach algebras. I. (English) Zbl 1138.39015 J. Math. Anal. Appl. 337, No. 2, 1158-1170 (2008). MSC: 39A11 PDFBibTeX XMLCite \textit{T. Soldà} et al., J. Math. Anal. Appl. 337, No. 2, 1158--1170 (2008; Zbl 1138.39015) Full Text: DOI
Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu \(L^q\)-functional inequalities and weighted porous media equations. (English) Zbl 1148.26018 Potential Anal. 28, No. 1, 35-59 (2008). Reviewer: Wei Nian Li (Binzhou) MSC: 26D10 35K55 39B62 46E27 46E35 60E15 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Potential Anal. 28, No. 1, 35--59 (2008; Zbl 1148.26018) Full Text: DOI arXiv
Soldà, Tania; Spigler, Renato; Vianello, Marco Asymptotic approximations for second-order linear difference equations in Banach algebras. II. (English) Zbl 1153.39306 J. Math. Anal. Appl. 340, No. 1, 433-450 (2008). MSC: 39A11 PDFBibTeX XMLCite \textit{T. Soldà} et al., J. Math. Anal. Appl. 340, No. 1, 433--450 (2008; Zbl 1153.39306) Full Text: DOI
Ortiz, Rubén D.; Rodríguez-Ceballos, Joel A.; Zhevandrov, Peter N. Shallow potential wells for the discrete Schrödinger equation. (Pozos de potencial poco profundos para la ecuación discreta de Schrödinger.) (Spanish. English summary) Zbl 1158.81335 Mat., Enseñ. Univ. (N.S.) 15, No. 2, 15-20 (2007). MSC: 81Q15 39A11 PDFBibTeX XMLCite \textit{R. D. Ortiz} et al., Mat., Enseñ. Univ. (N.S.) 15, No. 2, 15--20 (2007; Zbl 1158.81335)
Li, Xiaopei; Zhou, Xiaoling Oscillation and nonoscillation of higher order neutral difference equations with “maxima”. (English) Zbl 1138.39010 Int. J. Math. Anal., Ruse 1, No. 13-16, 791-804 (2007). Reviewer: Iryna Grytsay (Kyiv) MSC: 39A11 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Zhou}, Int. J. Math. Anal., Ruse 1, No. 13--16, 791--804 (2007; Zbl 1138.39010)