English

Infinitely many periodic solutions for second order Hamiltonian systems

Dynamical Systems 2011-06-03 v1

Abstract

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

Keywords

Cite

@article{arxiv.1106.0360,
  title  = {Infinitely many periodic solutions for second order Hamiltonian systems},
  author = {Qingye Zhang and Chungen Liu},
  journal= {arXiv preprint arXiv:1106.0360},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T18:16:33.234Z