Existence of Periodic Solutions for a Class of Asymptotically p-Linear Discrete Systems Involving p-Laplacian. (7th May 2012)

• Record Type: Journal Article
• Authors: Chen, Kai; Zhang, Qiongfen
• Other Names: Govinder K. S. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-05-07
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/948345
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : By applying Mountain Pass Theorem in critical point theory, two existence results are obtained for the following asymptoticallyp -linearp -Laplacian discrete systemΔ ( | 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.