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

Mathematics

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