Abstract

By critical point theory, a new approach is provided to study the existence of periodic and subharmonic solutions of the second order difference equation

 

Δ2xn-1+f(n,xn)=0,

where fC(R × Rm, Rm), f(t+M,z)+f(t,z) for any (t, z)∈R × Rm and M is a positive integer. This is probably the first time critical point theory has been applied to deal with the existence of periodic solutions of difference systems.

You do not currently have access to this article.