On Global Attractivity of a Class of Nonautonomous Difference Equations
Joint Authors
Liu, Wanping
Cao, Jianqiu
Yang, Xiaofan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We mainly investigate the global behavior to the family of higher-order nonautonomous recursive equations given by yn=(p+ryn-s)/(q+ϕn(yn-1,yn-2,…,yn-m)+yn-s), n∈ℕ0, with p≥0,r,q>0,s,m∈ℕ and positive initial values, and present some sufficient conditions for the parameters and maps ϕn:(ℝ+)m→ℝ+,n∈ℕ0, under which every positive solution to the equation converges to zero or a unique positive equilibrium.
Our main result in the paper extends some related results from the work of Gibbons et al.
(2000), Iričanin (2007), and Stević (vol.
33, no.
12, pages 1767–1774, 2002; vol.
6, no.
3, pages 405–414, 2002; vol.
9, no.
4, pages 583–593, 2005).
Besides, several examples and open problems are presented in the end.
American Psychological Association (APA)
Liu, Wanping& Yang, Xiaofan& Cao, Jianqiu. 2010. On Global Attractivity of a Class of Nonautonomous Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-466115
Modern Language Association (MLA)
Liu, Wanping…[et al.]. On Global Attractivity of a Class of Nonautonomous Difference Equations. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-466115
American Medical Association (AMA)
Liu, Wanping& Yang, Xiaofan& Cao, Jianqiu. On Global Attractivity of a Class of Nonautonomous Difference Equations. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-466115
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466115