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ON THE DIFFERENCE EQUATION x(n+1) = a(0)x(n)
Journal article   Peer reviewed

ON THE DIFFERENCE EQUATION x(n+1) = a(0)x(n)

E. M. Elabbasy, H. El-Metwally and E. M. Elsayed
Mathematica bohemica, Vol.133(2), pp.133-147
01/01/2008

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we investigate the global convergence result, boundedness and periodicity of solutions of the recursive sequence x(n+1) = a(0)x(n) + a(1)x(n-1) + ...+a(k.)x(n-k)/b(0)x(n) + b(1)x(n-1) + ...+b(k.)x(n-k,) n - 0,1, ... where the parameters ai and bi for i = 0,1,..., k are positive real numbers and the initial conditions x-(k), x-(k+1),... x(0) are arbitrary positive numbers.

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