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2009 Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials
Jian Ding, Junxiang Xu, Fubao Zhang
Abstr. Appl. Anal. 2009: 1-15 (2009). DOI: 10.1155/2009/128624

Abstract

This paper concerns solutions for the Hamiltonian system: z˙=𝒥Hz(t,z).Here H(t,z)=(1/2)zLz+W(t,z), L is a 2N×2N symmetric matrix, and WC1(×2N,). We consider the case that 0σc((𝒥(d/dt)+L)) and W 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.

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Jian Ding. Junxiang Xu. Fubao Zhang. "Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials." Abstr. Appl. Anal. 2009 1 - 15, 2009. https://doi.org/10.1155/2009/128624

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1187.37086
MathSciNet: MR2581138
Digital Object Identifier: 10.1155/2009/128624

Rights: Copyright © 2009 Hindawi

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