Masters Theses

Keywords and Phrases

Asymptotic Behavior; Asymptotic Stability; Pantograph Equation; Quantum Calculus

Abstract

"In this thesis, the pantograph equation in quantum calculus is investigated. The pantograph equation is a famous delay differential equation that has been known since 1971. Till the present day, the continuous and the discrete cases of the pantograph equation are well studied. This thesis deals with different pantograph equations in quantum calculus. An explicit solution representation and the exponential behavior of solutions of a pantograph equation are proved. Furthermore, several pantograph equations regarding asymptotic stability are considered. In fact, conditions for the asymptotic stability of the zero solution are derived and subsequently illustrated by examples. Moreover, an explicit solution in terms of the exponential function for a special pantograph equation is obtained"--Abstract, page iii.

Advisor(s)

Bohner, Martin, 1966-

Committee Member(s)

Akin, Elvan
Gelles, Gregory M.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Spring 2017

Pagination

viii, 77 pages

Note about bibliography

Includes bibliographical references (pages 75-76).

Rights

© 2017 Thomas Griebel

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 11092

Electronic OCLC #

992440871

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