Author(s)

Hongxia Tang, Limei Wei

Corresponding Author

Hongxia Tang

ABSTRACT

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

KEYWORDS

Periodic solution, Difference equations, Saddle point theorem