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

Advances in Difference Equations volume 2006, Article number: 047654 (2006) Cite this article

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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Author information

Affiliations

  1. Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong, 510665, China

    Zhi-qiang Zhu & Gen-qiang Wang

  2. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30034, China

    Sui Sun Cheng

Authors
  1. Zhi-qiang Zhu
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  2. Gen-qiang Wang
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  3. Sui Sun Cheng
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Corresponding author

Correspondence to Zhi-qiang Zhu.

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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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Zhu, Zq., Wang, Gq. & Cheng, S.S. A classification scheme for nonoscillatory solutions of a higher order neutral difference equation. Adv Differ Equ 2006, 047654 (2006). https://doi.org/10.1155/ADE/2006/47654

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Asymptotic Behavior