# On the Structure and Eventual Periodicity of Solutions to Xm+l = F (xm), Where F is Piecewise Linear

## Document Type

Thesis

## Date of Award

5-2012

## School/College

College of Science, Engineering, and Technology (COSET)

## Degree Name

MS in Mathematics

## First Advisor

Professor Willie E. Taylor

## Abstract

This paper concerns the solutions of the difference equation Xm+1 = Xm-l (1) where F: (0, (0) � (0, (0) is a piecewise linear map defined by {A, F eX) = � A' X � 1 A>l. 0< X < 1 It is of interest to note that for X =f::. 1, F (�) = 1 F eX) We also assume that all solutions of (1) have a domain of 71.., the set of integers.

## Recommended Citation

Dang, BachLien, "On the Structure and Eventual Periodicity of Solutions to Xm+l = F (xm), Where F is Piecewise Linear" (2012). *Theses (Pre-2016)*. 20.

https://digitalscholarship.tsu.edu/pre-2016_theses/20