Advances in Difference Equations
Volume 2004 (2004), Issue 4, Pages 311-320
doi:10.1155/S1687183904308113
Positive periodic solutions for nonlinear difference equations via a continuation theorem
Gen-Qiang Wang1
and Sui Sun Cheng2
1Department of Computer Science, Guangdong Polytechnic Normal University, Guangdong, Guangzhou 510665, China
2Department of Mathematics, Tsing Hua University, Hsinchu 30043, Taiwan
Abstract
Based on a continuation theorem of Mawhin, positive periodic solutions are found for difference equations of the form yn+1=ynexp(f(n,yn,yn−1,…,yn−k)), n∈ℤ.