一类离散p-Laplacian系统周期解的存在性

Existence of Periodic Solutions for a Class of Discrete p-Laplacian Systems

研究非自治离散p-Laplacian系统的周期解的存在性.当具有p-次线性增长非线性项时,利用临界点理论得到了系统周期解存在性的充分条件,所得结果推广了已有结果.

In this paper,the existence of periodic solutions for discrete p-Laplacian system with p-sublinear nonlinearity is investigated,The sufficient conditions for the existence of periodic solutions are obtained by critical point theory,and the results improve the existing ones.