Qualitative behavior of some difference equations

Dissertant

Masarwah, Wiam

Thesis advisor

Salih, Muhammad

Comitee Members

al-Uqayli, Marwan M.
Yusuf, Hasan

University

Birzeit University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (West Bank)

Degree

Master

Degree Date

2012

English Abstract

In this thesis we will study the qualitative behavior of some di_erence equations, and we will support our results by numerical discussion using MATLAB 6.5.

Our concentration is on invariant intervals, periodic solutions, semicycle analysis, and the global asymptotic stability of all positive solutions of these equations. We mainly study the positive solutions of the following two difference equations: The first difference equation is xn+1 = Axn +βxn + βxn + yxn-k / βxn + Cxn-k, n = 0, 1, 2,… where the initial conditions x-k,…, x-1, x0 are arbitrary positive real numbers and the coefficients A, β, y, b, C are positive constants, while k is a positive integer number. The second difference equation is Xn + 1 = Axn + pxn + xn-k / q + xn-k, n = 0, 1, 2,… where the initial conditions x-k,…, x-1, x0 are arbitrary positive real numbers and the coeffcients A, p, q are positive constants, while k is a positive integer number.

Main Subjects

Mathematics

No. of Pages

87

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-316183