Homoclinic orbits for second-order Hamiltonian systems with subquadratic potentials

Ying Lv and Chun-Lei Tang

Chaos, Solitons & Fractals, 2013, vol. 57, issue C, 137-145

Abstract: In this paper we consider a class of subquadratic second-order Hamiltonian systems and new results about the existence and multiplicity of homoclinic orbits are obtained by using the Minimizing Theorem and the Clark’s Theorem respectively and a new compact imbedding theorem is also proved.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:57:y:2013:i:c:p:137-145

DOI: 10.1016/j.chaos.2013.09.007

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