Homoclinic orbits of second order nonlinear functional difference equations with Jacobi operators

DOI10.1016/j.indag.2014.06.002zbMath1304.39005OpenAlexW2051895467MaRDI QIDQ475571

Xia Liu, Yuanbiao Zhang, Hai-Ping Shi

Publication date: 27 November 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.06.002

zbMATH Keywords

critical point theoryhomoclinic orbitsJacobi operatorsnonlinear difference equationsdiscrete variational theoryadvance and retardation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (4)

Existence of homoclinic orbits for a higher order difference system ⋮ STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS ⋮ Existence and multiplicity of homoclinic solutions for second‐order nonlinear difference equations with Jacobi operators ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD

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