Date of Award
2024
Degree Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics
Department
Mathematics and Applied Mathematical Sciences
First Advisor
Mustafa Kulenovic
Abstract
This dissertation focuses on non-autonomous difference equations. Results are proven for non-autonomous n-dimensional versions of commonly used maps, such as Ricker's map, Pielou's map, and more. Chapter I is about the dynamics a generalized Beverton Holt equation in 3-dimensions, and its non-autonomous analogue. Chapter I also includes a result for general 3-dimensional systems. Chapter II is about the convergence of non-autonomous difference equations.
Recommended Citation
Sullivan, Ryan, "DYNAMICS OF SOME NON-AUTONOMOUS DIFFERENCE EQUATIONS" (2024). Open Access Dissertations. Paper 1676.
https://digitalcommons.uri.edu/oa_diss/1676
Terms of Use
All rights reserved under copyright.