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arXiv · 2112.09983

Global Dynamical Behaviours and Periodicity of a Certain Quadratic-Rational Difference Equation with Delay

Erkan Taşdemir·Melih Göcen·Yüksel Soykan
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Abstract

Our aim in this paper is to deal with the dynamics of following higher order difference equation x_{n+1}=A+B((x_{n-m})/(x_{n}^2)) where A,B>0, and initial values are positive, and m={1,2,...}. Furthermore, we discuss the periodicity, boundedness, semi-cycles, global asymptotic stability of solutions of these equations. We also handle the rate of convergence of solutions of these difference equations.

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Erkan Taşdemir, Melih Göcen, Yüksel Soykan. 2021-12-18. Global Dynamical Behaviours and Periodicity of a Certain Quadratic-Rational Difference Equation with Delay. https://arxiv.org/abs/2112.09983

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