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Dynamics of a Higher-Order Nonlinear Difference Equation
Joint Authors
Jia, Xiu-Mei
Tang, Guo-Mei
Hu, Lin-Xia
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider the higher-order nonlinear difference equation xn+1=(α+xn)/(A+Bxn+xn−k), n=0,1,…, where parameters are positive real numbers and initial conditions x−k,…,x0 are nonnegative real numbers, k≥2.
We investigate the periodic character, the invariant intervals, and the global asymptotic stability of all positive solutions of the abovementioned equation.
We show that the unique equilibrium of the equation is globally asymptotically stable under certain conditions.
American Psychological Association (APA)
Tang, Guo-Mei& Hu, Lin-Xia& Jia, Xiu-Mei. 2010. Dynamics of a Higher-Order Nonlinear Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-479405
Modern Language Association (MLA)
Tang, Guo-Mei…[et al.]. Dynamics of a Higher-Order Nonlinear Difference Equation. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-479405
American Medical Association (AMA)
Tang, Guo-Mei& Hu, Lin-Xia& Jia, Xiu-Mei. Dynamics of a Higher-Order Nonlinear Difference Equation. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-479405
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479405