Infinitely many periodic solutions for second order Hamiltonian systems

Details Infinitely many periodic solutions for second order Hamiltonian systems Infinitely many periodic solutions for second order Hamiltonian systems

2011-06-02

arxiv.org/abs/1106.0360v1

Mathematics

Dynamical Systems

to appear in JDE(doi:10.1016/j.jde.2011.05.021)

Scientific paper

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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