Abstract and Applied Analysis

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

Qiongfen Zhang

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 960276, 12 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277046

Digital Object Identifier
doi:10.1155/2014/960276

Mathematical Reviews number (MathSciNet)
MR3226246

Zentralblatt MATH identifier
07023405

Citation

Zhang, Qiongfen. Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects. Abstr. Appl. Anal. 2014 (2014), Article ID 960276, 12 pages. doi:10.1155/2014/960276. https://projecteuclid.org/euclid.aaa/1412277046


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