On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero

Feng Li; Juntao Sun

doi:10.1155/2014/313690

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2014 On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero

Feng Li, Juntao Sun

Abstr. Appl. Anal. 2014(SI17): 1-9 (2014). DOI: 10.1155/2014/313690

Abstract

The existence and multiplicity of homoclinic solutions for a class of first-order periodic Hamiltonian systems with spectrum point zero are obtained. The proof is based on two critical point theorems for strongly indefinite functionals. Some recent results are improved and extended.

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Feng Li. Juntao Sun. "On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero." Abstr. Appl. Anal. 2014 (SI17) 1 - 9, 2014. https://doi.org/10.1155/2014/313690