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Abstract
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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

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.