Advances in Difference Equations

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Periodic solutions of nonlinear vector difference equations

Advances in Difference Equations20062006:039419

https://doi.org/10.1155/ADE/2006/39419

©  M. I. Gil’. 2006

Received: 31 January 2005

Accepted: 7 September 2005

Published: 29 March 2006

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Ben Gurion University of the Negev

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Copyright

© M. I. Gil’. 2006

This article is published under license to BioMed Central Ltd. 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.