Journal of Advances in Mathematics and Computer Science

Asymptotic Behavior of the System of Second Order Nonlinear Difference Equations

Hongmei Bao *

Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai’an, Jiangsu 223003, P.R. China.

*Author to whom correspondence should be addressed.

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Abstract

This paper deals with dynamics of the solutions to the system of second order nonlinear difference equations

where Moreover we use the known results to determine the rate of convergence of the solutions of this system. Finally, we give some numerical examples to justify our results.

Keywords: Difference equation, stability, rate of convergence

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