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Global Asymptotic Stability for a Fourth-Order Rational Difference Equation
Joint Authors
Bayram, Mustafa
Gülpinar, Meseret Tuba
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Our aim is to investigate the global behavior of the following fourth-order rational difference equation: xn+1=(xnxn−2xn−3+xn+xn−2+xn−3+a)/(xnxn−2+xnxn−3+xn−2xn−3+1+a), n=0,1,2,… where a∈[0,∞) and the initial values x−3,x−2,x−1,x0∈(0,∞).
To verify that the positive equilibrium point of the equation is globally asymptotically stable, we used the rule of the successive lengths of positive and negative semicycles of nontrivial solutions of the aforementioned equation.
American Psychological Association (APA)
Gülpinar, Meseret Tuba& Bayram, Mustafa. 2009. Global Asymptotic Stability for a Fourth-Order Rational Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-7.
https://search.emarefa.net/detail/BIM-485440
Modern Language Association (MLA)
Gülpinar, Meseret Tuba& Bayram, Mustafa. Global Asymptotic Stability for a Fourth-Order Rational Difference Equation. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-7.
https://search.emarefa.net/detail/BIM-485440
American Medical Association (AMA)
Gülpinar, Meseret Tuba& Bayram, Mustafa. Global Asymptotic Stability for a Fourth-Order Rational Difference Equation. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-7.
https://search.emarefa.net/detail/BIM-485440
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485440