On the Dynamics of the Recursive Sequence xn+1=α+xn−kpxnq
Joint Authors
Felah, Nilüfer B.
Öcalan, Özkan
Gümüş, Mehmet
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate the boundedness character, the oscillatory, and the periodic character of positive solutions of the difference equation xn+1=α+xn-kp/xnq, n=0,1,…, where k∈{2,3…}, α, p, q∈(0,∞) and the initial conditions x-k,…,x0 are arbitrary positive numbers.
We investigate the boundedness character for p∈(0,∞).
Also, we investigate the existence of a prime two periodic solution for k is odd.
Moreover, when k is even, we prove that there are no prime two periodic solutions of the equation above.
American Psychological Association (APA)
Gümüş, Mehmet& Öcalan, Özkan& Felah, Nilüfer B.. 2012. On the Dynamics of the Recursive Sequence xn+1=α+xn−kpxnq. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-456614
Modern Language Association (MLA)
Gümüş, Mehmet…[et al.]. On the Dynamics of the Recursive Sequence xn+1=α+xn−kpxnq. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-456614
American Medical Association (AMA)
Gümüş, Mehmet& Öcalan, Özkan& Felah, Nilüfer B.. On the Dynamics of the Recursive Sequence xn+1=α+xn−kpxnq. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-456614
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456614