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Abstract and Applied Analysis
Volume 2014, Article ID 960276, 12 pages
Research Article

Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects

College of Science, Guilin University of Technology, Guilin, Guangxi 541004, China

Received 11 April 2014; Accepted 26 May 2014; Published 15 June 2014

Academic Editor: Jianqing Chen

Copyright © 2014 Qiongfen 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.


This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects. Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory. The results obtained in this paper generalize and improve some existing works in the literature.