Document Type
Thesis
Date of Award
7-2011
School/College
College of Science, Engineering, and Technology (COSET)
Degree Name
MS in Mathematics
First Advisor
Robert M. Nehs
Abstract
The central objective of this thesis is to analyze the eventual periodic properties of solutions of the second order difference equation Xn+l = max{F{xn), G{xn_1 )}, n = 0,1,2, ... , (1.2) where F and G are any two, not necessarily distinct, functions in the system S = Ifx, x -1 ,_1__ ,!,1- X,} and max is the maximum function, max {x,y} = the 1 x I-x x x-I larger of x and y. Chapter 2 highlights some preliminary concepts and the proof that the system itself is closed under function composition. Chapter 3 introduces the Analysis of Interval Sequences, and its application to proving that every solution of Equation (1.2) is eventually periodic. The last part of the thesis follows with summary and recommendations. It is hoped that this paper will serve as an important contribution to promoting further research and analysis of nonlinear difference equations.
Recommended Citation
Kwakuyi, George Delali, "The Eventual Periodicity of { x-I I I FORF AND GIN x } x, , ,-,l-x,-- x 1-x x x-" (2011). Theses (Pre-2016). 169.
https://digitalscholarship.tsu.edu/pre-2016_theses/169