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Advances in Continuous and Discrete Models

Theory and Modern Applications

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On the oscillation of certain third-order difference equations

Advances in Difference Equations volume 2005, Article number: 920732 (2005) Cite this article

Abstract

We establish some new criteria for the oscillation of third-order difference equations of the form , where Δ is the forward difference operator defined by Δx(n) = x(n+1) - x(n).

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901-6975, USA

    Ravi P Agarwal

  2. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, 12221, Egypt

    Said Grace

  3. Department of Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland

    Donal O'Regan

Authors
  1. Ravi P Agarwal
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  2. Said Grace
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  3. Donal O'Regan
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Correspondence to Ravi P Agarwal.

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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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Agarwal, R.P., Grace, S. & O'Regan, D. On the oscillation of certain third-order difference equations. Adv Differ Equ 2005, 920732 (2005). https://doi.org/10.1155/ADE.2005.345

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  • DOI: https://doi.org/10.1155/ADE.2005.345