Global Behavior of the Difference Equation xn+1=(p+xn-1)(qxn+xn-1)
Joint Authors
Wu, Hui
Han, Caihong
Xi, Hongjian
Sun, Taixiang
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We study the following difference equation xn+1=(p+xn-1)/(qxn+xn-1), n=0,1,…, where p,q∈(0,+∞) and the initial conditions x-1,x0∈(0,+∞).
We show that every positive solution of the above equation either converges to a finite limit or to a two cycle, which confirms that the Conjecture 6.10.4 proposed by Kulenović and Ladas (2002) is true.
American Psychological Association (APA)
Sun, Taixiang& Xi, Hongjian& Wu, Hui& Han, Caihong. 2010. Global Behavior of the Difference Equation xn+1=(p+xn-1)(qxn+xn-1). Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-6.
https://search.emarefa.net/detail/BIM-456224
Modern Language Association (MLA)
Sun, Taixiang…[et al.]. Global Behavior of the Difference Equation xn+1=(p+xn-1)(qxn+xn-1). Abstract and Applied Analysis No. 2010 (2010), pp.1-6.
https://search.emarefa.net/detail/BIM-456224
American Medical Association (AMA)
Sun, Taixiang& Xi, Hongjian& Wu, Hui& Han, Caihong. Global Behavior of the Difference Equation xn+1=(p+xn-1)(qxn+xn-1). Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-6.
https://search.emarefa.net/detail/BIM-456224
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456224