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Periodic solutions of nonlinear vector difference equations

Advances in Difference Equations volume 2006, Article number: 039419 (2006) Cite this article

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 and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva, 84105, Israel

    MI Gil'

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  1. MI Gil'
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Correspondence to MI Gil'.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Gil', M. Periodic solutions of nonlinear vector difference equations. Adv Differ Equ 2006, 039419 (2006). https://doi.org/10.1155/ADE/2006/39419

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

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Periodic Solution