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On the global asymptotic stability of a system of difference equations with quadratic terms

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Abstract

In this paper, we study the global asymptotic stability of following system of difference equations with quadratic terms: \(x_{n+1}=A+B\frac{y_{n}}{y_{n-1}^{2}}\), \(y_{n+1}=A+B\frac{x_{n}}{x_{n-1}^{2}}\) where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.

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  1. Pınarhisar Vocational School, Kırklareli University, 39300, Kırklareli, Turkey

    Erkan Taşdemir

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  1. Erkan Taşdemir
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Taşdemir, E. On the global asymptotic stability of a system of difference equations with quadratic terms. J. Appl. Math. Comput. 66, 423–437 (2021). https://doi.org/10.1007/s12190-020-01442-4

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