Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian SystemsReport as inadecuate




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Journal of Applied MathematicsVolume 2012 2012, Article ID 720139, 21 pages

Research Article

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institute, Guangzhou University, Guangzhou 510006, China

Received 9 June 2012; Accepted 8 August 2012

Academic Editor: Wan-Tong Li

Copyright © 2012 Long Yuhua. 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

A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not satisfy the global Ambrosetti-Rabinowitz condition.





Author: Long Yuhua

Source: https://www.hindawi.com/



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