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

Qi Wang and Qingye Zhang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We study the existence and multiplicity of homoclinic orbits for second‐order Hamiltonian systems q¨−L(t)q+∇qW(t,q)=0, where L(t) is unnecessarily positive definite for all t ∈ ℝ, and ∇qW(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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https://doi.org/10.1155/2012/250607

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:250607

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