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On the Difference equation xn+ = ax n - bx n /(cx x - dxn-1)

Advances in Difference Equations volume 2006, Article number: 082579 (2006) Cite this article

Abstract

We investigate some qualitative behavior of the solutions of the difference equation xn+ = ax n - bx n /(cx x - dxn-1), n = 0,1,..., where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    EM Elabbasy, H El-Metwally & EM Elsayed

Authors
  1. EM Elabbasy
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  2. H El-Metwally
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  3. EM Elsayed
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Corresponding author

Correspondence to EM Elabbasy.

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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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Elabbasy, E., El-Metwally, H. & Elsayed, E. On the Difference equation xn+ = ax n - bx n /(cx x - dxn-1). Adv Differ Equ 2006, 082579 (2006). https://doi.org/10.1155/ADE/2006/82579

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  • DOI: https://doi.org/10.1155/ADE/2006/82579

Keywords

  • Differential Equation
  • Real Number
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis