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

Feng Li and Juntao Sun

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/313690

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