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Existence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentials. (English) Zbl 1239.34046
Summary: Under some local conditions on $$W(t,u)$$, the existence of homoclinic solutions is obtained for the nonperiodic second-order Hamiltonian systems $$u''(t)-L(t)u(t)+\nabla W(t,u(t)=f(t)$$ as a limit of periodic solutions of a certain sequence of boundary-value problems which are obtained by a new critical point theorem.

##### MSC:
 34C37 Homoclinic and heteroclinic solutions to ordinary differential equations 37C29 Homoclinic and heteroclinic orbits for dynamical systems
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##### References:
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