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Some Properties and Expressions of Solutions for a Class of Nonlinear Difference Equation
Journal article   Peer reviewed

Some Properties and Expressions of Solutions for a Class of Nonlinear Difference Equation

E. M. Elabbasy, H. El-Metwally and E. M. Elsayed
UTILITAS MATHEMATICA, Vol.87, pp.93-110
01/03/2012

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology Statistics & Probability
In this paper we study some properties of solutions of difference equation xn+1 = ax(n-2) + bx(n-2)x(n-3)/cx(n) + dx(n-3), n = 0, 1,..., where the initial conditions x(-3), x(-2), x(-1), x(0) are arbitrary positive real numbers and a, b, c, d are constants. Also, we give the expressions of solutions for some special cases of this equation.

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