Advances in Difference Equations
Volume 2008 (2008), Article ID 247071, 11 pages
doi:10.1155/2008/247071

Existence theorems of periodic solutions for second-order nonlinear difference equations

Xiaochun Cai1 and Jianshe Yu2

1College of Statistics, Hunan University, Changsha, Hunan 410079, China
2College of Mathematics and Information Science, Guangzhou University, Guangzhou 510405, China

Abstract

The authors consider the second-order nonlinear difference equation of the type Δ(pn(Δxn1)δ)+qnxnδ=f(n,xn),n, using critical point theory, and they obtain some new results on the existence of periodic solutions.