The Dynamics of the Solutions of Some Difference Equations
Joint Authors
Alsaedi, Ramzi
Elsayed, E. M.
El-Metwally, Hamdy
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
2012-07-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper is devoted to investigate the global behavior of the following rational difference equation: yn+1=αyn-t/(β+γ∑i=0kyn-(2i+1)p∏i=0kyn-(2i+1)q), n=0,1,2,…, where α,β,γ,p,q∈(0,∞) and k,t∈{0,1,2,…} with the initial conditions x0, x-1,…, x-2k, x-2max {k,t}-1∈ (0,∞).
We will find and classify the equilibrium points of the equations under studying and then investigate their local and global stability.
Also, we will study the oscillation and the permanence of the considered equations.
American Psychological Association (APA)
El-Metwally, Hamdy& Alsaedi, Ramzi& Elsayed, E. M.. 2012. The Dynamics of the Solutions of Some Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-474483
Modern Language Association (MLA)
El-Metwally, Hamdy…[et al.]. The Dynamics of the Solutions of Some Difference Equations. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-474483
American Medical Association (AMA)
El-Metwally, Hamdy& Alsaedi, Ramzi& Elsayed, E. M.. The Dynamics of the Solutions of Some Difference Equations. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-474483
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474483