Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system

Abstract

In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is the first time to discuss the periodic solutions with prescribed minimal period for a 2nth-order discrete system.

Keywords

• minimal period
• 2nth-order
• nonlinear
• discrete system
• critical point
• 39a23
• 34c25
• 58e05
• 37j45