Periodic Solutions of Second-Order Differential Inclusions Systems with p(t)‎-Laplacian

Abstract EN

The existence of periodic solutions for nonautonomous second-order differential inclusion systems with p(t)-Laplacian is considered.

We get some existence results of periodic solutions for 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, by using nonsmooth critical point theory.

Our results generalize and improve some theorems in the literature.