Title of article :
Existence of Periodic Solutions of p(t)-Laplacian Systems
Author/Authors :
Zhang, Liang Central South University - School of Mathematical Sciences and Computing Technology, China , Chen, Yi Central South University - School of Mathematical Sciences and Computing Technology, China
Abstract :
In this paper, by using the least action principle in critical point theory, we obtain some existence theorems of periodic solutions for p(t)-Laplacian system {d/dt(|u˙(t)|p(t)−2u˙(t))=∇F(t,u(t))a.e. t∈[0,T], u(0)−u(T)=u˙(0)−u˙(T)=0, which generalize some existence theorems.
Keywords :
Periodic solutions , p(t) , Laplacian systems , variational methods , least action principle.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
