一类非自治p(t)-Laplace系统周期解的存在性

Existence of Periodic Solutions for a Class of Non-autonomous p(t)-Laplacian Systems

利用临界点理论研究非自治p(t)-Laplace系统周期解的存在性,先将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,再根据鞍点定理和极小作用原理,得到系统周期解存在的充分条件.

Using critical point theory,the author studied the existence of periodic solutions for nonautonomous p（t）-Laplacian systems.We converted the periodic solutions of the system into the critical points of a functional defined on a proper space,and obtained some sufficient conditions for the existence of periodic solutions via saddle point theorem and the least action principle.