Existence of periodic solutions for a class of second-order discrete Hamiltonian systems

DOI10.1080/10236198.2014.993322zbMath1320.39005OpenAlexW2078775345MaRDI QIDQ5247369

Tianqing An, Hua Gu

Publication date: 24 April 2015

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

Full work available at URL: https://doi.org/10.1080/10236198.2014.993322

zbMATH Keywords

periodic solutioncritical pointvariational methoddiscrete 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)

Related Items (8)

Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems ⋮ On variational and topological methods in nonlinear difference equations ⋮ Periodic solutions for discrete \(p(k)\)-Laplacian systems with partially periodic potential ⋮ Infinitely many periodic solutions for second-order discrete Hamiltonian systems ⋮ Necessary and sufficient condition for the existence of positive solutions of a coupled system for reaction-diffusion equations ⋮ Existence of periodic solutions for a class of second order discrete Hamiltonian systems ⋮ Index theory for second order linear Hamiltonian systems with \(L^1\) coefficient matrix satisfying generalized periodic boundary value conditions ⋮ Multiple periodic solutions for second-order discrete Hamiltonian systems

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• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Variant fountain theorems and their applications

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