On the Period-Two Cycles of xn+1=(α+βxn+γxn-k)(A+Bxn+Cxn-k)
Joint Authors
Abu-Saris, Raghib
Hashim, Ishak
Ismail, E. S.
Atawna, S.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider the higher order nonlinear rational difference equation xn+1=(α+βxn+γxn-k)/(A+Bxn+Cxn-k),n=0,1,2,…, where the parameters α,β,γ,A,B,C are positive real numbers and the initial conditions x-k,…,x-1,x0 are nonnegative real numbers, k∈{1,2,…}.
We give a necessary and sufficient condition for the equation to have a prime period-two solution.
We show that the period-two solution of the equation is locally asymptotically stable.
American Psychological Association (APA)
Atawna, S.& Abu-Saris, Raghib& Hashim, Ishak& Ismail, E. S.. 2013. On the Period-Two Cycles of xn+1=(α+βxn+γxn-k)(A+Bxn+Cxn-k). Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-452230
Modern Language Association (MLA)
Atawna, S.…[et al.]. On the Period-Two Cycles of xn+1=(α+βxn+γxn-k)(A+Bxn+Cxn-k). Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-452230
American Medical Association (AMA)
Atawna, S.& Abu-Saris, Raghib& Hashim, Ishak& Ismail, E. S.. On the Period-Two Cycles of xn+1=(α+βxn+γxn-k)(A+Bxn+Cxn-k). Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-452230
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452230