Multiple periodic solutions for two classes of nonlinear difference systems involving classical $(\phi_1,\phi_2)$-Laplacian
Dynamical Systems
2016-01-05 v1
Abstract
In this paper, we investigate the existence of multiple periodic solutions for two classes of nonlinear difference systems involving -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 -Laplacian and two parameters. Moreover, for the second nonlinear difference system with -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.
Cite
@article{arxiv.1601.00131,
title = {Multiple periodic solutions for two classes of nonlinear difference systems involving classical $(\phi_1,\phi_2)$-Laplacian},
author = {Xingyong Zhang and Liben Wang},
journal= {arXiv preprint arXiv:1601.00131},
year = {2016}
}