On the Dynamics of a Higher-Order Difference Equation
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-15
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the investigation of the following more general rational difference equation: yn+1=αyn/(β+γ∑i=0kyn-(2i+1)p∏i=0kyn-(2i+1)), n=0,1,2,…, where α,β,γ,p∈(0,∞) with the initial conditions x0,x-1,…,x-2k,x-2k-1∈(0,∞).
We investigate the existence of the equilibrium points of the considered equation and then study their local and global stability.
Also, some results related to the oscillation and the permanence of the considered equation have been presented.
American Psychological Association (APA)
El-Metwally, Hamdy. 2012. On the Dynamics of a Higher-Order Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-458509
Modern Language Association (MLA)
El-Metwally, Hamdy. On the Dynamics of a Higher-Order Difference Equation. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-458509
American Medical Association (AMA)
El-Metwally, Hamdy. On the Dynamics of a Higher-Order Difference Equation. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-458509
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458509