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,....

Author

Mark Bellavia

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

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

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