Infinitely many homoclinic orbits for discrete Hamiltonian systems with subquadratic potential

DOI10.1080/10236198.2012.691168zbMath1277.39015OpenAlexW2015571539MaRDI QIDQ5301059

Xiaoyan Lin, Xian Hua Tang

Publication date: 2 July 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.691168

zbMATH Keywords

critical pointhomoclinic solutiondiscrete Hamiltonian systemsubquadratic

Mathematics Subject Classification ID

Hamilton's equations (70H05) 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)

Related Items (16)

Non-Nehari manifold method for periodic discrete superlinear Schrödinger equation ⋮ Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition ⋮ 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 ⋮ Periodic solutions with minimal period for fourth-order nonlinear difference equations ⋮ Sign-changing ground state solutions for discrete nonlinear Schrödinger equations ⋮ Homoclinic orbits for second-order discrete Hamiltonian systems with subquadratic potential ⋮ New results for second order discrete Hamiltonian systems ⋮ Homoclinic orbits for asymptotically linear discrete Hamiltonian systems ⋮ Homoclinic orbits for second order discrete Hamiltonian systems with general potentials ⋮ Homoclinic orbits for a class of discrete periodic Hamiltonian systems ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems ⋮ Existence of periodic solutions with prescribed minimal period of a \(2n\)th-order discrete system ⋮ Homoclinic orbits for discrete Hamiltonian systems with indefinite linear part

Cites Work

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• Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential
• On the Generalized Emden–Fowler Equation
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic solutions for a class of second order discrete Hamiltonian systems
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems

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