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

Durhasan Turgut Tollu and Hijaz Ahmad

Journal of Mathematics, 2020, vol. 2020, 1-7

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6636105

DOI: 10.1155/2020/6636105

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