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ON THE RATIONAL RECURSIVE SEQUENCE XN+1=gamma XN-K+(AXN+BXN-K)/(CXN-DXN-K)
Journal article   Peer reviewed

ON THE RATIONAL RECURSIVE SEQUENCE XN+1=gamma XN-K+(AXN+BXN-K)/(CXN-DXN-K)

E. M. E. Zayed and M. A. El-Moneam
Bulletin of the Iranian Mathematical Society, Vol.36(1), pp.103-115
01/04/2010

Abstract

Mathematics Physical Sciences Science & Technology
Our main objective is to study some qualitative behavior of the solutions of the difference equation x(n+1) = gamma x(n-k) + (ax(n) + bx(n-k)) / (cx(n) - dx(n-k)), n = 0, 1, 2, ... , where the initial conditions x-k, ... , x(-1), x(0) are arbitrary positive real numbers and the coefficients gamma, a, b, c and d are positive constants, while k is a positive integer number.

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