Abstract and Applied Analysis
Volume 2013 (2013), Article ID 610906, 11 pages
http://dx.doi.org/10.1155/2013/610906
Research Article

Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems with Some Twisted Conditions

Qi Wang1 and Qingye Zhang2

1Institute of Contemporary Mathematics, School of Mathematics and Information Science, Henan University, Kaifeng 475000, China
2Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China

Received 4 January 2013; Accepted 1 April 2013

Academic Editor: Changbum Chun

Copyright © 2013 Qi Wang and Qingye Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By the Maslov index theory, we will study the existence and multiplicity of homoclinic orbits for a class of asymptotically linear nonperiodic Hamiltonian systems with some twisted conditions on the Hamiltonian functions.