Masters Theses

Abstract

"In this work, we study Abel dynamic equations of the first and the second kind. After a brief introduction to time scales, we introduce the Abel differential equations of the first and the second kind, as well as the canonical Abel form in the continuous case. Using the existing information, we derive novel results for time scales. We provide formulas for the Abel dynamic equations of the second kind and present a solution method. We furthermore achieve a special class of Abel equations of the first kind and discuss the canonical Abel equation. We get relations between common dynamic equations by analyzing relations between common differential equations in R. Examples for T = R illustrate our results for the Abel dynamic equations"--Abstract, page iii.

Advisor(s)

Bohner, Martin, 1966-

Committee Member(s)

Hall, Leon M., 1946-
Zhang, Yanzhi

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Mathematics and Statistics

Publisher

Missouri University of Science and Technology

Publication Date

Summer 2012

Pagination

vi, 82 pages

Note about bibliography

Includes bibliographical references (pages 66-67).

Rights

© 2012 Sabrina Heike Streipert, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Canonical correlation (Statistics)
Difference equations
Functions, Abelian

Thesis Number

T 10073

Print OCLC #

829102746

Electronic OCLC #

801485748

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