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Eventually Periodic Solutions of a Max-Type System of Difference Equations of Higher Order
Joint Authors
Sun, Taixiang
Qin, Bin
Su, Guangwang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-24
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We study in this paper the following max-type system of difference equations of higher order: xn=max{A,yn-k/xn-1} and yn=max{B,xn-k/yn-1}, n∈{0,1,2,…}, where A≥B>0, k≥1, and the initial conditions x-k,y-k,x-k+1,y-k+1,…,x-1,y-1∈(0,+∞).
We show that (1) if AB>1, then every solution of the above system is periodic with period 2 eventually.
(2) If AB=1>B, then every solution of the above system is periodic with period 2k or 2 eventually.
(3) If A=B=1 or AB<1, then the above system has a solution which is not periodic eventually.
American Psychological Association (APA)
Su, Guangwang& Sun, Taixiang& Qin, Bin. 2018. Eventually Periodic Solutions of a Max-Type System of Difference Equations of Higher Order. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1152858
Modern Language Association (MLA)
Su, Guangwang…[et al.]. Eventually Periodic Solutions of a Max-Type System of Difference Equations of Higher Order. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1152858
American Medical Association (AMA)
Su, Guangwang& Sun, Taixiang& Qin, Bin. Eventually Periodic Solutions of a Max-Type System of Difference Equations of Higher Order. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1152858
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152858