![](/images/graphics-bg.png)
Qualitative Study of Solutions of Some Difference Equations
Joint Authors
Elsayed, E. M.
El-Metwally, Hamdy
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-17
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We obtain in this paper the solutions of the following recursive sequences xn+1=xnxn−3/xn−2(±1±xnxn−3), n=0,1,…, where the initial conditions are arbitrary real numbers and we study the behaviors of the solutions and we obtained the equilibrium points of the considered equations.
Some qualitative behavior of the solutions such as the boundedness, the global stability, and the periodicity character of the solutions in each case have been studied.
We presented some numerical examples by giving some numerical values for the initial values and the coefficients of each case.
Some figures have been given to explain the behavior of the obtained solutions in the case of numerical examples by using the mathematical program Mathematica to confirm the obtained results.
American Psychological Association (APA)
El-Metwally, Hamdy& Elsayed, E. M.. 2012. Qualitative Study of Solutions of Some Difference Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-457180
Modern Language Association (MLA)
El-Metwally, Hamdy& Elsayed, E. M.. Qualitative Study of Solutions of Some Difference Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-457180
American Medical Association (AMA)
El-Metwally, Hamdy& Elsayed, E. M.. Qualitative Study of Solutions of Some Difference Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-457180
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457180