Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842939 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 13 Pages |
Abstract
Some new results for the existence of homoclinic orbits are obtained for the second-order Hamiltonian systems ü(t)+∇V(t,u(t))=f(t), where t∈R,u∈Rnt∈R,u∈Rn and V∈C1(R×Rn,R)V∈C1(R×Rn,R), V(t,x)=−K(t,x)+W(t,x)V(t,x)=−K(t,x)+W(t,x) is TT-periodic with respect to tt, T>0T>0 and f:R→Rnf:R→Rn is a continuous and bounded function. Our assumptions on KK and ff are rather loose.
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Authors
X.H. Tang, Li Xiao,