## Abstract

It is our goal to investigate the long term behavior of the solutions of the following difference equation: X _{n+1}= A _{n} x_{ n-1} [divided by] 1+X_{n} , n = 0,1,2,...., Where {A_{n}}∞ _{n=0} is a periodic sequence of positive real numbers. We will examine how the different periods of the sequence and the relationship of the terms of the sequence affect the long term behavior of the solutions.

## Library of Congress Subject Headings

Difference equations; Functions of bounded variation; Convergence

## Publication Date

11-2-2005

## Document Type

Thesis

## Department, Program, or Center

School of Mathematical Sciences (COS)

## Advisor

Radin, Michael - Chair

## Advisor/Committee Member

Basener, William

## Advisor/Committee Member

Brooks, Bernard

## Recommended Citation

Bellavia, Mark, "Long term behavior of the positive solutions of the non-autonomous difference equation X n+1= A n x n-1 [divided by] 1+Xn , n = 0,1,2,...." (2005). Thesis. Rochester Institute of Technology. Accessed from

https://repository.rit.edu/theses/5683

## Campus

RIT – Main Campus

## Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QA431 .B35 2005