Periodic solutions of second order discrete Hamiltonian systems with potential indefinite in sign

DOI10.1016/J.AMC.2011.05.077zbMath1238.39005OpenAlexW2124253306MaRDI QIDQ656670

Xiaoliang Xie, Xiaoqing Deng, Hai-Ping Shi

Publication date: 13 January 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.077

zbMATH Keywords

periodic solutionscritical pointslinking theoremchanging signsecond order discrete Hamiltonian systems

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Periodic solutions of difference equations (39A23)

Related Items (12)

Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems ⋮ On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems ⋮ Existence and multiple solutions for higher order difference Dirichlet boundary value problems ⋮ Nonconstant periodic solutions of discrete \(p\)-Laplacian system via Clark duality and computations of the critical groups ⋮ Multiple periodic solutions for second-order discrete Hamiltonian systems ⋮ Existence of homoclinic orbits for a higher order difference system ⋮ Existence of periodic solutions for higher order difference equations containing both many advances and retardations ⋮ Existence of solutions to boundary value problems for a higher-dimensional difference system ⋮ Infinitely many periodic solutions for second-order discrete Hamiltonian systems ⋮ Existence of time periodic solutions for a class of non-resonant discrete wave equations ⋮ Existence of periodic solutions for a class of second order discrete Hamiltonian systems ⋮ Existence of periodic solutions for a class of second-order discrete Hamiltonian systems

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