Masters Theses

Abstract

"In this thesis existence and uniqueness of solutions to certain second and third order boundary value problems for delay differential equations is established. Sequences of upper and lower solutions similar to those used by Kovač and Savčenko are defined by means of an integral operator, and conditions are given under which these sequences converge monotonically from above and below to the unique solution of the problem. Some numerical examples for the second order case are presented. Existence and uniqueness is also proved for the case where the delay is a function of the solution as well as the independent variable"--Abstract, page ii.

Advisor(s)

Grimm, L. J.

Committee Member(s)

Plummer, O. R.
Foster, J. Earl

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1971

Pagination

v, 37 pages

Note about bibliography

Includes bibliographical references (pages 60-62).

Rights

© 1971 Leon Morris Hall, Jr., All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Boundary value problems
Green's functions

Thesis Number

T 2541

Print OCLC #

6033621

Electronic OCLC #

871706731

Included in

Mathematics Commons

Share

 
COinS