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2012 Existence of Periodic Solutions for a Class of Asymptotically p -Linear Discrete Systems Involving p -Laplacian
Kai Chen, Qiongfen Zhang
J. Appl. Math. 2012: 1-10 (2012). DOI: 10.1155/2012/948345

Abstract

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 ( | Δ u ( t 1 ) | p 2 Δ u ( t 1 ) ) + [ K ( t , u ( t ) ) + W ( t , u ( t ) ) ] = 0 . The results obtained generalize some known works.

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Kai Chen. Qiongfen Zhang. "Existence of Periodic Solutions for a Class of Asymptotically p -Linear Discrete Systems Involving p -Laplacian." J. Appl. Math. 2012 1 - 10, 2012. https://doi.org/10.1155/2012/948345

Information

Published: 2012
First available in Project Euclid: 17 October 2012

zbMATH: 1247.35030
MathSciNet: MR2915731
Digital Object Identifier: 10.1155/2012/948345

Rights: Copyright © 2012 Hindawi

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