Article ID Journal Published Year Pages File Type
840514 Nonlinear Analysis: Theory, Methods & Applications 2011 11 Pages PDF
Abstract

The existence of homoclinic orbits is obtained for a class of the second order Hamiltonian systems ü(t)−L(t)u(t)+∇W(t,u(t))=0,∀t∈R, by the local linking lemma, where W(t,x)W(t,x) is superquadratic and need not be nonnegative globally.

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Existence of homoclinic orbits for second order Hamiltonian systems without (AR) condition
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