Open Access

Periodic solutions of nonlinear vector difference equations

Advances in Difference Equations20062006:039419

Received: 31 January 2005

Accepted: 7 September 2005

Published: 29 March 2006


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.


Authors’ Affiliations

Department of Mathematics, Ben Gurion University of the Negev


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© M. I. Gil’. 2006

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