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Oscillation criteria for first-order forced nonlinear difference equations

Advances in Difference Equations volume 2006, Article number: 062579 (2006) Cite this article

Abstract

Some new criteria for the oscillation of first-order forced nonlinear difference equations of the form Δx(n)+q1(n)xμ(n+1) = q2(n)xλ(n+1)+e(n), where λ, μ are the ratios of positive odd integers 0 <μ < 1 and λ > 1, are established.

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Authors and Affiliations

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

    Ravi P Agarwal & Tim Smith

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

    Said R Grace

Authors
  1. Ravi P Agarwal
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  2. Said R Grace
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  3. Tim Smith
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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.R. & Smith, T. Oscillation criteria for first-order forced nonlinear difference equations. Adv Differ Equ 2006, 062579 (2006). https://doi.org/10.1155/ADE/2006/62579

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  • DOI: https://doi.org/10.1155/ADE/2006/62579

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