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

Qi Wang and Qingye Zhang

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:250607

DOI: 10.1155/2012/250607

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