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arXiv · 1211.6779

On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions

David G. Costa·Hossein Tehrani
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Abstract

We show existence of infinitely many homoclinic orbits at the origin for a class of singular second-order Hamiltonian systems $$ \ddot{u} + V_u (t,u)=0\,,\quad -\infty < t < \infty\,. $$ We use variational methods under the assumption that\ $V(t,u)$\ satisfies the so-called "Strong-Force" condition.

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David G. Costa, Hossein Tehrani. 2012-11-28. On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions. https://arxiv.org/abs/1211.6779

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