Multiple periodic solutions for two classes of nonlinear difference systems involving classical ( φ 1 , φ 2 ) - Laplacian
نویسندگان
چکیده
In this paper, we investigate the existence of multiple periodic solutions for two classes of nonlinear difference systems involving (φ1,φ2)-Laplacian. First, by using an important critical point theorem due to B. Ricceri, we establish an existence theorem of three periodic solutions for the first nonlinear difference system with (φ1,φ2)-Laplacian and two parameters. Moreover, for the second nonlinear difference system with (φ1,φ2)-Laplacian, by using the Clark’s Theorem, we obtain a multiplicity result of periodic solutions under a symmetric condition. Finally, two examples are given to verify our theorems. c ©2017 All rights reserved.
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