Special Session 73: 

Homoclinic solutions for a higher order difference equation

Lingju Kong
University of Tennessee at Chattanooga
USA
Co-Author(s):    
Abstract:
We study a higher order difference equation defined on the set of integers with $p$-Laplacian and containing both advance and retardation. By using the critical point theory, sufficient conditions are obtained for the existence of multiple homoclinic solutions of the equation.