Some existence results on periodic solutions of ordinary p-Laplacian systems

Existence of Periodic Solutions of p(t)-Laplacian Systems

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 (|u̇(t)|p(t)−2u̇(t)) = ∇F (t, u(t)) a.e. t ∈ [0, T ] u(0)− u(T ) = u̇(0)− u̇(T ) = 0, which generalize some existence theorems. 2010 Mathematics Subject Classification: 34C25, 35A15

An Existence Result on Periodic Solutions of an Ordinary p-Laplacian System

A solvability condition of periodic solutions is obtained for an ordinary p-Laplacian system by the Linking Theorem in critical point theory. 2010 Mathematics Subject Classification: 37J45, 34C25, 58E50

Existence of periodic solutions for p-Laplacian neutral Rayleigh equation

where φp(x) = |x|p–x for x =  and p > ; σ and c are given constants with |c| = ; φp() = , f () = . The conjugate exponent of p is denoted by q, i.e.  p +  q = . f , g , β , e, and τ are real continuous functions on R; τ , β , and e are periodic with periodic T , T >  is a constant; ∫ T  e(t)dt = , ∫ T  β(t) = . As we know, the p-Laplace Rayleigh equation with a deviating argumen...

Existence of Periodic Solutions for a Class of Asymptotically p-Linear Discrete Systems Involving p-Laplacian

On the Existence of Periodic Solutions to a P -laplacian Rayleigh Equation