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

Jia Guo; Bin-Xiang Dai

doi:10.1155/2013/183585

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI61 > Article

2013 Three Homoclinic Solutions for Second-Order

p

-Laplacian Differential System

Jia Guo, Bin-Xiang Dai

Abstr. Appl. Anal. 2013(SI61): 1-10 (2013). DOI: 10.1155/2013/183585

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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.

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Jia Guo. Bin-Xiang Dai. "Three Homoclinic Solutions for Second-Order $p$ -Laplacian Differential System." Abstr. Appl. Anal. 2013 (SI61) 1 - 10, 2013. https://doi.org/10.1155/2013/183585