Dynamics of nonlinear difference equations

Dissertant

Awawidah, Arij

Thesis advisor

al-Uqayli, Marwan

Comitee Members

Salih, Muhammad
Jadun, Rimun

University

Birzeit University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (West Bank)

Degree

Master

Degree Date

2014

English Abstract

This research aims mainly to study properties of three di_erent di_erence equations.

The _rst equation is xn+1 = pn + xn?1 xn ; n = 0; 1; :::; with initial conditions x?1 _ 0, x0 > 0, and where fpng is a positive bounded sequence,.

The second equation is xn+1 = An + xp n?1 xq n ; n = 0; 1; :::; where An is a positive bounded sequence, the initial conditions x?1 _ 0, x0 > 0, and p, q 2 (0;1).

And the third equation is xn+1 = pn + xn xn?1 ; n = 0; 1; :::; where x?1 > 0, x0 _ 0, and pn is a positive bounded sequence.

For each equation we studied periodicity, stability, attractivity and boundedness.

Main Subjects

Mathematics

No. of Pages

93

Table of Contents

Table of contents.

Abstract.

Chapter One : Introduction.

Chapter Two : On the difference equation.

Chapter Three : On the difference equation.

Chapter Four : On the difference equation.

References.

American Psychological Association (APA)

Awawidah, Arij. (2014). Dynamics of nonlinear difference equations. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-413288

Modern Language Association (MLA)

Awawidah, Arij. Dynamics of nonlinear difference equations. (Master's theses Theses and Dissertations Master). Birzeit University. (2014).
https://search.emarefa.net/detail/BIM-413288

American Medical Association (AMA)

Awawidah, Arij. (2014). Dynamics of nonlinear difference equations. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-413288

Language

English

Data Type

Arab Theses

Record ID

BIM-413288