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

Mathematics

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