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On the global asymptotic stability for a rational recursive sequence
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
333-339
Authors:
Zayed, E. M. E, El-Moneam, M. A
Journal:
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE SHIRAZ UNIV
Volume:
35
Research Area:
Science \& Technology - Other Topics
ISSN
ISI:000307919300010
Keywords :
Difference equations, boundedness character, prime period two solution, global stability, convergence
Abstract:
The main objective of this paper is to study the boundedness character, the periodicity character, the convergence and the global stability of the positive solutions of the nonlinear rational difference equation x(n+1) = (Sigma(k)(i=0) alpha(i)x(n-i))/(B + Sigma(k)(i=0) beta(i)x(n-i)), n = 0, 1, 2, .... where the coefficients B, alpha(i), beta(i) together with the initial conditions X-k, .... , X-1, X-0 are arbitrary positive real numbers, while k is a positive integer number.
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