关键词: 周期解, p(t)-Laplace系统, 临界点

Abstract:

Using critical point theory, the author studied the existence of periodic solutions for nonautonomous 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.

Key words: periodic solution, p(t)-Laplacian system, critical point