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Homoclinic Orbits for Second-Order Hamiltonian Systems with Some Twist Condition

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  • Qi Wang
  • Qingye Zhang

Abstract

We study the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems q ¨ − L ( t ) q + ∇ q W ( t , q ) = 0 , where L ( t ) is unnecessarily positive definite for all t ∈ ℠, and ∇ q W ( t , q ) is of at most linear growth and satisfies some twist condition between the origin and the infinity.

Suggested Citation

  • Qi Wang & Qingye Zhang, 2012. "Homoclinic Orbits for Second-Order Hamiltonian Systems with Some Twist Condition," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, June.
  • Handle: RePEc:hin:jnlaaa:250607
    DOI: 10.1155/2012/250607
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    Cited by:

    1. Ye, Yiwei & Tang, Chun-Lei, 2014. "New existence and multiplicity results of homoclinic orbits for a class of second order Hamiltonian systems," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 151-159.

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