Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
Dynamical Systems
2016-10-04 v3
Abstract
In this paper, we mainly consider the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems , where is not necessarily positive definite and the growth rate of potential function can be in . Using the variant fountain theorem, we obtain the existence of infinitely many homoclinic solutions for the second-order Hamiltonian systems.
Keywords
Cite
@article{arxiv.1501.06557,
title = {Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems},
author = {Xiang Lv},
journal= {arXiv preprint arXiv:1501.06557},
year = {2016}
}