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Dissertation/Thesis Abstract

On Existence and Global Attractivity of Periodic Solutions of Higher Order Nonlinear Difference Equations
by Smith, Justin B., Ph.D., Mississippi State University, 2020, 87; 27836631
Abstract (Summary)

Difference equations arise in many fields of mathematics, both as discrete analogs of continuous behavior (analysis, numerical approximations) and as independent models for discrete behavior (population dynamics, economics, biology, ecology, etc.). In recent years, many models - especially in mathematical biology - are based on higher order nonlinear difference equations. As a result, there has been much focus on the existence of periodic solutions of certain classes of these equations and the asymptotic behavior of these periodic solutions. In this dissertation, we study the existence and global attractivity of both periodic and quasiperiodic solutions of two different higher order nonlinear difference equations. Both equations arise in biological applications.

Indexing (document details)
Advisor: Qian, Chuanxi
Commitee: Dang, Dinh H, Razzaghi, Mohsen, Yarahmadian, Shantia, Smith, Robert C
School: Mississippi State University
Department: Mathematics and Statistics
School Location: United States -- Mississippi
Source: DAI-B 81/11(E), Dissertation Abstracts International
Subjects: Mathematics, Biology
Keywords: Difference equation, Forcing term, Global attractivity, Periodic, Quasiperiodic
Publication Number: 27836631
ISBN: 9798643195467
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