Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions

DOI10.1186/s13662-017-1344-6zbMath1444.39006OpenAlexW2754392135WikidataQ59524076 ScholiaQ59524076MaRDI QIDQ1710087

Liqian Jia, Jun Chen, Guan-Wei Chen

Publication date: 15 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1344-6

zbMATH Keywords

variational methodshomoclinic solutionssuperlineardiscrete nonlinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Difference operators (39A70) Partial difference equations (39A14)

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Perturbed Schrödinger lattice systems: existence of homoclinic solutions, HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD, Maximum principle and its application to multi-index Hadamard fractional diffusion equation

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