Dynamics of nonlinear difference equation x n+1= βxn+ γxn-k A+Bxn+Cxn-k

Dissertant

Jafar, Amir

Thesis advisor

Salih, Muhammad

Comitee Members

Yusuf, Hasan
al Oqeili, Marwan

University

Birzeit University

Faculty

Faculty of Engineering and Technology

Department

Department of Computer Science

University Country

Palestine (West Bank)

Degree

Master

Degree Date

2012

English Abstract

-The main goal of this thesis is to investigate the bounded-ness, invariant intervals, semi-cycles and global attractivity of all nonnegative solutions of the equation xn+1 = (BXn+YXn-K)/(A+BXn+CXn-k) m=0,1,2,… where the parameters B, Y, A, B and C and the initial conditions ?-k, ?-k +1, …, ?0 are non-negative real numbers, k = {1, 2, …}.

We give a detailed description of the semi-cycles of solutions, and determine conditions that satisfy the global asymptotically stable of the equilibrium points.

In particular, this monograph is a generalization of the ratio-nal difference equation that was investigated in [13].

Main Subjects

Mathematics

Topics

• Differential equations

No. of Pages

106

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-316142