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(Δxn−1)δ)+qnxnδ=f(n,xn),n∈ℤ, using critical point theory, and they obtain some new results on the existence of periodic solutions.