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On the Recursive Sequence xn+1=max{xn,A}xn2xn−1
Joint Authors
Çinar, Cengiz
Gelisken, Ali
Yalcinkaya, Ibrahim
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 investigate the periodic nature of the solution of the max-type difference equation xn+1=max{xn,A}/xn2xn-1, n=0,1,2,…, where the initial conditions are x-1=Ar1 and x0=Ar2 for A∈(0,∞), and that r1 and r2 are positive rational numbers.
The results in this paper solve the Open Problem proposed by Grove and Ladas (2005).
American Psychological Association (APA)
Yalcinkaya, Ibrahim& Çinar, Cengiz& Gelisken, Ali. 2010. On the Recursive Sequence xn+1=max{xn,A}xn2xn−1. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-482666
Modern Language Association (MLA)
Yalcinkaya, Ibrahim…[et al.]. On the Recursive Sequence xn+1=max{xn,A}xn2xn−1. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-482666
American Medical Association (AMA)
Yalcinkaya, Ibrahim& Çinar, Cengiz& Gelisken, Ali. On the Recursive Sequence xn+1=max{xn,A}xn2xn−1. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-482666
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482666