Dynamics and stability of some systems of difference equations
Dissertant
Thesis advisor
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2019
English Abstract
In this research, we investigate semi-cycles, boundedness, persistence of positive solutions, and global asymptotic stability of the unique positive equilibrium of two different systems of two nonlinear difference equations.
The first system is: xn+1 = A + yn−k yn , yn+1 = B + xn−k xn , n = 0, 1, .
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where A, B are positive real numbers, the initial conditions xi , yi ∈ (0,∞) for i = −k, −k + 1, ..., 0 and k ∈ Z +.
The second system is: xn+1 = A + yn yn−k , yn+1 = A + xn xn−k , n = 0, 1, .
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with parameter A ∈ (0,∞), and xi , yi are arbitrary positive numbers for i = −k, −k + 1, ..., 0 and k ∈ Z +.
Main Subjects
Topics
No. of Pages
85
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Preliminaries.
Chapter Two : Dynamics of the system xn+1 = A +yn−k yn, yn+1 = B +xn−k xn..
Chapter Three : Dynamics of the system xn+1 = A +yn yn−k, yn+1 = A + xn xn−k.
Conclusion, Future Work.
References.
American Psychological Association (APA)
Abu al-Rubb, Sima. (2019). Dynamics and stability of some systems of difference equations. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-957977
Modern Language Association (MLA)
Abu al-Rubb, Sima. Dynamics and stability of some systems of difference equations. (Master's theses Theses and Dissertations Master). Birzeit University. (2019).
https://search.emarefa.net/detail/BIM-957977
American Medical Association (AMA)
Abu al-Rubb, Sima. (2019). Dynamics and stability of some systems of difference equations. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-957977
Language
English
Data Type
Arab Theses
Record ID
BIM-957977
