Global Stability of a Rational Difference Equation
Joint Authors
Tang, Guo-Mei
Hu, Lin-Xia
Ma, Gang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-20
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We consider the higher-order nonlinear difference equation xn+1=(p+qxn−k)/(1+xn+rxn−k), n=0,1,… with the parameters, and the initial conditions x−k,…,x0 are nonnegative real numbers.
We investigate the periodic character, invariant intervals, and the global asymptotic stability of all positive solutions of the above-mentioned equation.
In particular, our results solve the open problem introduced by Kulenović and Ladas in their monograph (see Kulenović and Ladas, 2002).
American Psychological Association (APA)
Tang, Guo-Mei& Hu, Lin-Xia& Ma, Gang. 2011. Global Stability of a Rational Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-471841
Modern Language Association (MLA)
Tang, Guo-Mei…[et al.]. Global Stability of a Rational Difference Equation. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-471841
American Medical Association (AMA)
Tang, Guo-Mei& Hu, Lin-Xia& Ma, Gang. Global Stability of a Rational Difference Equation. Discrete Dynamics in Nature and Society. 2011. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-471841
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471841
