Infinitely many periodic solutions for second order Hamiltonian systems

preprint2011arXivOpen access

In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$ , where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$ .

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Infinitely many periodic solutions for second order Hamiltonian systems

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