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

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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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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