Homoclinic solutions for a class of second order discrete Hamiltonian systems

DOI10.1007/s10114-012-9233-0zbMath1256.39005OpenAlexW1976877173MaRDI QIDQ5916090

Xian Hua Tang, Xiaoyan Lin

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9233-0

zbMATH Keywords

critical pointhomoclinic orbithomoclinic solutiondiscrete Hamiltonian system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Non-Nehari manifold method for periodic discrete superlinear Schrödinger equation ⋮ Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems ⋮ New potential condition on homoclinic orbits for a class of discrete Hamiltonian systems ⋮ Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices ⋮ Homoclinic orbits for asymptotically linear discrete Hamiltonian systems ⋮ Homoclinic orbits for a class of discrete periodic Hamiltonian systems ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD

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