Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems

DOI10.1080/10236198.2013.794226zbMath1306.37063OpenAlexW1996277907MaRDI QIDQ2869920

Huiwen Chen, Zhi Min He

Publication date: 7 January 2014

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

Full work available at URL: https://doi.org/10.1080/10236198.2013.794226

zbMATH Keywords

fountain theoremhomoclinic solutiondiscrete Hamiltonian systemsuperquadric

Mathematics Subject Classification ID

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Discrete version of topics in analysis (39A12)

Related Items

Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition ⋮ Homoclinic solutions for second-order discrete Hamiltonian systems with asymptotically quadratic potentials ⋮ New results for second order discrete Hamiltonian systems ⋮ Multiple heteroclinic solutions of bilateral difference systems with Laplacian operators ⋮ Homoclinic orbits for second order discrete Hamiltonian systems with general potentials

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