Electron. J. Differential Equations, Vol. 2017 (2017), No. 296, pp. 1-8.

Existence of periodic solutions for subquadratic discrete system involving the p-Laplacian

Qin Jiang, Shang Ma, Zhihua Hu

Abstract:
An existence theorem on periodic solution is established for a class of nonautonomous discrete system involving the p-Laplacian under a subquadratic growth condition. The conclusion is based on saddle point theorem and variational methods.

Submitted April 6, 2017. Published November 28, 2017.
Math Subject Classifications: 39A11, 58E50, 70H05, 37J45.
Key Words: Discrete system; periodic solution; p-Laplacian; subquadratic; saddle point theorem.

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Qin Jiang
Department of Mathematics
Huanggang Normal University
Hubei 438000, China
email: jiangqin999@126.com
Sheng Ma
Department of Mathematics
Huanggang Normal University
Hubei 438000, China
email: masheng666@126.com
Zhihua Hu
Department of Mathematics
Huanggang Normal University
Hubei 438000, China
email: zhihuahu123@126.com

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