Infinitely many homoclinic solutions for nonautonomous \(p(t)\)-Laplacian Hamiltonian systems

DOI10.1016/j.camwa.2011.11.039zbMath1247.34073OpenAlexW1996781840MaRDI QIDQ453788

Peng Chen, Ravi P. Agarwal, Xian Hua Tang

Publication date: 30 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.11.039

zbMATH Keywords

homoclinic solutionssymmetric mountain pass theoremvariable exponent Sobolev spacesecond-order ordinary \(p(t)\)-Laplacian systems

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Homoclinic solutions for \(p(t)\)-Laplacian-Hamiltonian systems without coercive conditions ⋮ Existence of two almost homoclinic solutions for \(p(t)\)-Laplacian Hamiltonian systems with a small perturbation ⋮ Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ⋮ Periodic solutions for a class of second order Hamiltonian systems with \(p(t)\)-Laplacian ⋮ Periodic solutions for nonlocal \(p(t)\)-Laplacian systems

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