Advances in Difference Equations
Volume 2006 (2006), Article ID 39419, 8 pages
Periodic solutions of nonlinear vector difference equations
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
Copyright © 2006 M. I. Gil'. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.