Advances in Difference Equations 
Volume 2006 (2006), Article ID 39419, 8 pages
doi:10.1155/ADE/2006/39419

Periodic solutions of nonlinear vector difference equations

M. I. Gil'

 Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel
Received 31 January 2005; Accepted 7 September 2005

Abstract

Essentially nonlinear difference equations in a Euclidean space are considered. Conditions for the existence of periodic solutions and solution estimates are derived. Our main tool is a combined usage of the recent estimates for matrix-valued functions with the method of majorants.