一类(φ1,φ2)-Laplace差分系统周期解的存在性
The Existence of Periodic Solutions for a Class of Difference Systems with(φ1,φ2)-Laplacian

利用极小化原理研究了一类(φ1,φ2)-Laplace差分系统周期解的存在性问题.借助N-函数的概念及其性质,在位势函数满足次凸性条件、次(p,q)次线性增长条件和次p次线性增长条件下,获得了系统周期解的一些存在性准则.
The existence of periodic solutions for a class of difference systems with a(φ1,φ2)-Laplacian is considered in this paper.By using the least action principle and definition of N-function and its properties,some existence criteria of periodic solutions are obtained under the condition that potential function has subconvex growth,(p,q)-sublinear growth and p-sublinear growth