Abstract and Applied Analysis

Three Homoclinic Solutions for Second-Order $p$-Laplacian Differential System

Abstract

We consider second-order $p$-Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this $p$-Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 183585, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393450109

Digital Object Identifier
doi:10.1155/2013/183585

Mathematical Reviews number (MathSciNet)
MR3102728

Zentralblatt MATH identifier
1303.34023

Citation

Guo, Jia; Dai, Bin-Xiang. Three Homoclinic Solutions for Second-Order $p$ -Laplacian Differential System. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 183585, 10 pages. doi:10.1155/2013/183585. https://projecteuclid.org/euclid.aaa/1393450109

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