Title of article :
Existence of Nonconstant Periodic Solutions for a Nonlinear Discrete System Involving the p-Laplacian
Author/Authors :
LUO, ZHIMING Hunan University of Commerce - School of Information, China , ZHANG, XINGYONG Kunming University of Science and Technology - Faculty of Science - Department of Mathematics, China
Abstract :
In this paper, we study the following nonlinear discrete system involving the p-Laplacian ∆ɸp(∆u(n-1)))-a(n)│u(n)│^p-2 u(n)+Ϫf(n,u(n))=0, n ϵ Z By making use of the Linking theorem, we obtain a sufficient condition under which the system has at least one nonconstant periodic solution.
Keywords :
Nonconstant periodic solution , discrete system , p , Laplacian , critical point , Linking theorem
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
