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Dynamics and Behavior of a Second Order Rational Difference equation
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Dynamics and Behavior of a Second Order Rational Difference equation

E. M. Elsayed, M. M. El-Dessoky and Asim Asiri
Journal of computational analysis and applications, Vol.16(4), pp.794-807
01/05/2014

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the difference equation x(n+1) = ax(n) + b + cx(n-1)/d + ex(n-1,) n = 0, 1, ... , where the parameters a,b,c,d and e are positive real numbers and the initial conditions x(-1) and x(o) are positive real numbers.

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