Multibump solutions of a class of second-order discrete Hamiltonian systems

Xu Zhang

Multibump solutions of a class of second-order discrete Hamiltonian systems

Dynamical Systems 2013-09-20 v1

Authors: Xu Zhang

Abstract

For a class of second-order discrete Hamiltonian systems $\Delta^2x(t-1)-L(t)x(t)+V'_x(t,x(t))=0$ , we investigate the existence of homoclinic orbits by applying variational method, where $L$ and $V(\cdot,x)$ are periodic functions. Further, we show that there exist either uncountable many homoclinic orbits or multibump solutions under certain conditions.

Keywords

discrete Hamiltonian systems homoclinic orbits multibump solutions variational method periodic potentials second-order difference equations

Cite

@article{arxiv.1309.5043,
  title  = {Multibump solutions of a class of second-order discrete Hamiltonian systems},
  author = {Xu Zhang},
  journal= {arXiv preprint arXiv:1309.5043},
  year   = {2013}
}

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