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Dynamics of a System of Higher Order Difference Equations with Quadratic Terms
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Submitted:
01 April 2021
Posted:
05 April 2021
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Abstract
In this paper we investigate the global asymptotic stability of following system ofhigher order difference equations with quadratic terms:xn+1=A+Byn/yn−m^2, yn+1=A+Bxn/xn−m^2, where A and B are positive numbers and the initial values are positive numbers.We also study the boundedness, rate of convergence and oscillation behaviour of thesolutions of related system.
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Subject: Computer Science and Mathematics - Applied Mathematics
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