Subharmonic solutions and homoclinic orbits of second order discrete Hamiltonian systems with potential changing sign

DOI10.1016/j.camwa.2009.06.045zbMath1189.37067OpenAlexW2051975486MaRDI QIDQ979938

Gong Cheng, Xiaoqing Deng, Hai-Ping Shi

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.06.045

zbMATH Keywords

periodic solutionscritical point theoryhomoclinic orbitssubharmonic solutionssecond order discrete Hamiltonian systems

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Periodic solutions of difference equations (39A23)

Related Items (8)

Multibump solutions of a class of second-order discrete Hamiltonian systems ⋮ Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems ⋮ New potential condition on homoclinic orbits for a class of 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 ⋮ 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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