Author

Sheri Homeyer

Publication Date

1-1-1986

Document Type

Dissertation/Thesis

First Advisor

Rodine, Robert

Degree Name

B.S. (Bachelor of Science)

Department

Department of Mathematical Sciences

Abstract

The problem of stability is of primary concern in the qualitative theory of differential equations and has occupied mathematicians for the past century. The problem appears when considering solutions to the differential equation x-f(t,x) where x=( x1(t),…,xn(t) )T and f(t,x) is a nonlinear function of x1,…,xn. While no known method of solving this equation explicitly exists even for the case n=2, it is possible to discuss the qualitative properties of x1(t) and x2(t) where x1(t) and x2(t) denote, for example, the populations, at time t, of two competing species. The qualitative attributes under consideration include points of equilibrium and the question of the stability of solutions in neighborhoods of these points.

Comments

Includes bibliographical references.

Extent

9, 34 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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