Dynamics of rational difference equation x N+1 = ® + ¯XN + °XN¡KBXN + CXN¡K using mathematical and computational approach
Dissertant
Thesis advisor
University
Birzeit University
Faculty
Faculty of Engineering and Technology
Department
Department of Computer Science
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2007
English Abstract
In this thesis, we investigate the periodic character, invariant intervals, oscillation and global stability of all positive solutions of the equation : ? n + 1 = (a+Bxn + γxn-k) / (Bxn + cxn-k) where the parameters, a, β,γ, γ, B, and C and the initial conditions are nonnegative.
We give a detailed description of the hemicycles of solutions, and determine conditions that the equilibrium points are globally asymptotically stable.
In particular, our monograph is a generalization to the rational deference equation that was investigated in [6}.
Main Subjects
No. of Pages
113
Table of Contents
Table of contents.
Abstract.
Chapte one : Preliminary and basic theory of deference equation.
Chapter two : Preliminary and basic theory of rational difference equations.
Chapter three : Dynamics of xn+1 = ®+¯xn+°xn¡k.
Chapter four : The special cases ®¯°BC = 0.
Chapter five : computational approach.
References.
American Psychological Association (APA)
Alawinah, Abd al-Razzaq. (2007). Dynamics of rational difference equation x N+1 = ® + ¯XN + °XN¡KBXN + CXN¡K using mathematical and computational approach. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-302125
Modern Language Association (MLA)
Alawinah, Abd al-Razzaq. Dynamics of rational difference equation x N+1 = ® + ¯XN + °XN¡KBXN + CXN¡K using mathematical and computational approach. (Master's theses Theses and Dissertations Master). Birzeit University. (2007).
https://search.emarefa.net/detail/BIM-302125
American Medical Association (AMA)
Alawinah, Abd al-Razzaq. (2007). Dynamics of rational difference equation x N+1 = ® + ¯XN + °XN¡KBXN + CXN¡K using mathematical and computational approach. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-302125
Language
English
Data Type
Arab Theses
Record ID
BIM-302125
