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ON THE SOLUTIONS OF DIFFERENCE EQUATIONS OF ORDER FOUR
Journal article   Open access  Peer reviewed

ON THE SOLUTIONS OF DIFFERENCE EQUATIONS OF ORDER FOUR

H. El-Metwally, E. M. Elsayed and E. M. Elabbasy
The Rocky Mountain journal of mathematics, Vol.43(3), pp.877-894
01/01/2013
DOI: https://doi.org/10.1216/RMJ-2013-43-3-877

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we deal with the behavior of the solution of the following difference equation x(n + 1) = ax(n-1) + bx(n-1)(2)/cx(n-1) + 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 positive constants. Also, we obtain the solution of some special cases of this equation.
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https://doi.org/10.1216/RMJ-2013-43-3-877View
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