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On the Periodicity of a Difference Equation with Maximum
Joint Authors
Gelişken, Ali
Çinar, Cengiz
Yalcinkaya, Ibrahim
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-06-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate the periodic nature of solutions of the max difference equation xn+1=max{xn,A}/(xnxn−1), n=0,1,…, where A is a positive real parameter, and the initial conditions x−1=Ar−1 and x0=Ar0 such that r−1 and r0 are positive rational numbers.
The results in this paper answer the Open Problem 6.2 posed by Grove and Ladas (2005).
American Psychological Association (APA)
Gelişken, Ali& Çinar, Cengiz& Yalcinkaya, Ibrahim. 2008. On the Periodicity of a Difference Equation with Maximum. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-500766
Modern Language Association (MLA)
Gelişken, Ali…[et al.]. On the Periodicity of a Difference Equation with Maximum. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-11.
https://search.emarefa.net/detail/BIM-500766
American Medical Association (AMA)
Gelişken, Ali& Çinar, Cengiz& Yalcinkaya, Ibrahim. On the Periodicity of a Difference Equation with Maximum. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-500766
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500766