Dynamics of rational difference equation Xn + 1 = ( α + BXn) (A + BXn + CXn-k) using mathematical and computational approach
Dissertant
Thesis advisor
Comitee Members
al-Uqayli, Marwan
al-Maghribi, Tahsin
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2009
English Abstract
The main goal of this thesis is to investigate the periodic charac- ter, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation xn+1 = + xn A + Bxn + Cxn?k ; n = 0; 1; 2; ::: where the parameters , , A, B and C are non-negative real num- bers with at least one parameter is non zero and the initial conditions x?k; x?k+1; :::; x?1; x0 are non-negative real numbers with the solution is de ned and k 2 f1; 2; 3; :::g.
We give a detailed description of the semi-cycles of solutions, and determine conditions under which the equilibrium points are globally asymptotically stable.
In particular, our monograph is a generalization of the rational di erence equation that was investigated in .
Main Subjects
No. of Pages
94
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Dynamics of first order difference equations.
Chapter Two : Linear difference equations of higher order.
Chapter Three : Dynamics of Xn + 1 = a + Bxn / A + Bxn + Cxn-k.
Chapter Four : Special cases a B A B C = 0.
Chapter Five : The matlab code 6.5.
References.
American Psychological Association (APA)
Abu Halawah, Muna. (2009). Dynamics of rational difference equation Xn + 1 = ( α + BXn) (A + BXn + 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-707002
Modern Language Association (MLA)
Abu Halawah, Muna. Dynamics of rational difference equation Xn + 1 = ( α + BXn) (A + BXn + CXn-k) using mathematical and computational approach. (Master's theses Theses and Dissertations Master). Birzeit University. (2009).
https://search.emarefa.net/detail/BIM-707002
American Medical Association (AMA)
Abu Halawah, Muna. (2009). Dynamics of rational difference equation Xn + 1 = ( α + BXn) (A + BXn + 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-707002
Language
English
Data Type
Arab Theses
Record ID
BIM-707002
