Author(s)

Hongxia Tang, Chi Mo

Corresponding Author

Chi Mo

ABSTRACT

This article is concerned with the existence of nonconstant periodic solutions for nonlinear second-order difference equations. In this paper, the existence of nonconstant periodic solution is obtained by using the critical point theorem and variational frameworks. First, we introduce some appropriate variational frameworks. The existence of nonconstant periodic solutions is equivalent to the existence of critical points of the functional. Second, using critical point theorem, we obtain some critical points, the nonconstant periodic solutions are obtained. The work replenishs a blank of this part.

KEYWORDS

Nonconstant Periodic solution; Difference equations; Saddle point theorem