Dynamics of some rational nonlinear difference equations

Dissertant

Farahat, Asil Farahat

Thesis advisor

Salih, Muhammad

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

The main goal of this thesis is to study some methods for solving some rational difference equations.

We study the solution of rational difference equations basing on some approaches and methods that were studied for some other rational equations.

We mainly study the solution of three difference equations.

The first that we study in this thesis is the rational equation ? n + 1 =(a+B xn+ γxn-k)/(Bxn+Cxn-k) N = 0, 1, … (0.0.1) where the parameters a, B, γ,B, C and the initial conditions ?−k, ..., x−1, ?0…..

are positive real numbers, k = {1, 2, 3, …}.

The second equation that has been studied is ? n + 1 =█(@a+B xn+ bxn-k)/( A+ Bxn-k) (0.02) where a, b, A,B are all positive real numbers, k ≥1 is a positive integer, and the initial conditions ?−k, x−?+1, ..., ?0 are nonnegative real numbers.

Finally, we study the equation ?n= A/(xn-k) + B/(xn-3k) (0.0.3) where ?−3k+1, ?−3k+2, ..., ?0 ϵ (0,∞), A, B > 0 and k ∈ {1, 2, 3, 4, ….}.

Main Subjects

Mathematics

No. of Pages

100

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-303306