New existence of homoclinic orbits for a second-order Hamiltonian system

DOI10.1016/j.camwa.2011.04.060zbMath1228.34064OpenAlexW1975645978MaRDI QIDQ651460

Peng Chen, Xian Hua Tang

Publication date: 18 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.060

zbMATH Keywords

variational methodshomoclinic solutionsHamiltonian systemweighted \(L^{p}\) spaces

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (10)

Existence of fast homoclinic solutions for a class of second-order damped vibration systems ⋮ Existence of homoclinic solutions for nonlinear second-order coupled systems ⋮ Homoclinic solutions for second order discrete \(p\)-Laplacian systems ⋮ Infinitely many homoclinic orbits for \(2n\)th-order nonlinear functional difference equations involving the \(p\)-Laplacian ⋮ Infinitely many homoclinic solutions for nonautonomous \(p(t)\)-Laplacian Hamiltonian systems ⋮ Existence of fast homoclinic orbits for a class of second-order non-autonomous problems ⋮ Existence of homoclinic solutions for a class of difference systems involving \(p\)-Laplacian ⋮ Existence of homoclinic orbits for a class of \(p\)-Laplacian systems in a weighted Sobolev space ⋮ Existence of homoclinic solutions for some second-order discrete Hamiltonian systems ⋮ Periodic solutions for a class of new superquadratic second order Hamiltonian systems

Cites Work

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