Periodic solutions for a p-Laplacian-like NFDE system

Abstract

We consider an n-dimensional p-Laplacian-like neutral functional differential equation (NFDE) in the formddtφp[x′(t)-c(t) x′(t-τ)]ddt∇F(x(t-τ))β(t)∇G(x(t-δ(t)))=e(t) ,where c(t) and β(t) are sign-changeable. Using Mawhin's continuation theorem, we establish some criteria to guarantee the existence of periodic solutions for the above system, which generalize and improve on the corresponding results in related literature. © 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.