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Qualitative behavior of a difference equation of order three
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Qualitative behavior of a difference equation of order three

E. M. Elsayed
Acta scientiarum mathematicarum (Szeged), Vol.75(1-2), pp.113-129
01/01/2009

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we study the behavior of the difference equation x(n+1) = ax(n) + bx(n)x(n-2/)cx(n-1) + dx(n-2), n = 0, 1,..., where the initial values x(-2), x(-1), x(0) are arbitrary positive real numbers and a, b, c, d are positive constants. Also, we give the solution of some special cases of this equation.

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