Advances in Difference Equations

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A classification scheme for nonoscillatory solutions of a higher order neutral difference equation

  • Zhi-qiang Zhu1,
  • Gen-qiang Wang1 and
  • Sui Sun Cheng2
Advances in Difference Equations20062006:047654

https://doi.org/10.1155/ADE/2006/47654

©  Zhi-qiang Zhu et al. 2006

Received: 25 May 2005

Accepted: 28 September 2005

Published: 23 February 2006

Abstract

Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii's fixed point theorem, existence criteria are then provided for justification of such classification.

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Authors’ Affiliations

(1)
Department of Computer Science, Guangdong Polytechnic Normal University
(2)
Department of Mathematics, Tsing Hua University

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Copyright

© Zhi-qiang Zhu et al. 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.