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

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  • Feng Li
  • Juntao Sun

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.

Suggested Citation

  • Feng Li & Juntao Sun, 2014. "On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jnlaaa:313690
    DOI: 10.1155/2014/313690
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