In this paper, a 2 nth-order nonlinear difference equation is considered.Using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of periodic solutions.Results obtained complement or improve the existing ones.
ZHOU Zhan 1, YU JianShe 1 & CHEN YuMing 21 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China