Existence of Periodic Solutions for a Class of Asymptotically p-Linear Discrete Systems Involving p-Laplacian

By applying Mountain Pass Theorem in critical point theory, two existence results are obtained for the following asymptotically p-linear p-Laplacian discrete system Δ(|Δu(t−1)|p−2Δu(t−1))+∇[−K(t,u(t))+W(t,u(t))]=0. The results obtained generalize some known works.

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Bibliographic Details
Main Authors: Kai Chen, Qiongfen Zhang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/948345
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