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Stability and Solutions for Rational Recursive Sequence of Order Three
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Stability and Solutions for Rational Recursive Sequence of Order Three

E. M. Elsayed and H. El-Metwally
Journal of computational analysis and applications, Vol.17(2), pp.305-315
01/10/2014

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In this paper we deal with the behavior of the local stability, global attractor and boundedness of solutions of the following difference equation x(n+1) = ax(n-1) + bx(n-1)x(n-2)/cx(n) + dx(n-2), n = 0,1, ..., where the initial conditions x(-2), x(-1), x(0) are arbitrary positive real numbers and a,b,c,d are constants. Also, we give a specific form of solution of four special cases of this equation.

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