Journal of Applied Mathematics

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

Kai Chen and Qiongfen Zhang

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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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 948345, 10 pages.

Dates
First available in Project Euclid: 17 October 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1350479389

Digital Object Identifier
doi:10.1155/2012/948345

Mathematical Reviews number (MathSciNet)
MR2915731

Zentralblatt MATH identifier
1247.35030

Citation

Chen, Kai; Zhang, Qiongfen. Existence of Periodic Solutions for a Class of Asymptotically $p$ -Linear Discrete Systems Involving $p$ -Laplacian. J. Appl. Math. 2012 (2012), Article ID 948345, 10 pages. doi:10.1155/2012/948345. https://projecteuclid.org/euclid.jam/1350479389


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