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

Kai Chen and Qiongfen Zhang

Journal of Applied Mathematics, 2012, vol. 2012, 1-10

Abstract:

By applying Mountain Pass Theorem in critical point theory, two existence results are obtained for the following asymptotically ð ‘ -linear ð ‘ -Laplacian discrete system Δ ( | Δ ð ‘¢ ( ð ‘¡ − 1 ) | ð ‘ âˆ’ 2 Δ ð ‘¢ ( ð ‘¡ − 1 ) ) + ∇ [ − ð ¾ ( ð ‘¡ , ð ‘¢ ( ð ‘¡ ) ) + ð ‘Š ( ð ‘¡ , ð ‘¢ ( ð ‘¡ ) ) ] = 0 . The results obtained generalize some known works.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:948345

DOI: 10.1155/2012/948345

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