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Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients

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  • Durhasan Turgut Tollu
  • Hijaz Ahmad

Abstract

This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn/yn, where n∈ℕ0=ℕ∪0, the initial values x0 and y0 are the positive real numbers, and the sequences ann≥0, bnn≥0, cnn≥0, and dnn≥0 are two-periodic and positive. The system is an extension of a system where every positive solution is two-periodic or converges to a two-periodic solution. Here, the long-term behavior of positive solutions of the system is examined by using a new method to solve the system.

Suggested Citation

  • Durhasan Turgut Tollu & Hijaz Ahmad, 2020. "Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients," Journal of Mathematics, Hindawi, vol. 2020, pages 1-7, December.
    • Handle: RePEc:hin:jjmath:6636105
    DOI: 10.1155/2020/6636105
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    Cited by:

    1. Shaohong Wang & Zhan Zhou, 2021. "Three Solutions for a Partial Discrete Dirichlet Problem Involving the Mean Curvature Operator," Mathematics, MDPI, vol. 9(14), pages 1-20, July.

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