Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials

Jian Ding, Junxiang Xu and Fubao Zhang

Abstract and Applied Analysis, 2009, vol. 2009, 1-15

Abstract:

This paper concerns solutions for the Hamiltonian system: . Here , is a symmetric matrix, and . We consider the case that and satisfies some superquadratic condition different from the type of Ambrosetti-Rabinowitz. We study this problem by virtue of some weak linking theorem recently developed and prove the existence of homoclinic orbits.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:128624

DOI: 10.1155/2009/128624

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