On the Rational Recursive Sequence-Reference-Cited by-同舟云学术

On the Rational Recursive Sequence

Published:2008 Issue: Volume:2008 Page:1-15
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Zayed E. M. E.¹²^ORCID,Shamardan A. B.¹³,Nofal T. A.¹³

Affiliation:

1. Mathematics Department, Faculty of Science, Taif University, El-Taif 5700, El-Hawiyah, Kingdom of Saudi Arabia

2. Mathematics Department, Faculty of Science, Zagazig University, Zagazig 4419, Egypt

3. Mathematics Department, Faculty of Science, El-Minia University, El Minia 61519, Egypt

Abstract

We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation , , in the two cases: (i) ; (ii) , where the coefficients and, and the initial conditions are real numbers. We show that the positive equilibrium of this equation is a global attractor with a basin that depends on certain conditions posed on the coefficients of this equation.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2008/391265.pdf

Reference19 articles.

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3. Mathematics and Its Applications,1993

4. Stability of the Recursive Sequence xn+1=(α−βxn)/(γ+xn−1)

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