Dynamic equations with piecewise continuous argument

Author

Christian Keller

Abstract

"We extend the theory of differential equations with piecewise continuous argument to general time scales. Linear and quasi-linear systems of functional dynamic equations with alternating retarding and advanced argument will be investigated and conditions for globally asymptotic stability of those systems will be stated and proven. Furthermore, oscillation criteria for linear first-order equations with piecewise continuous argument will be established"--Abstract, page iii.

Advisor(s)

Bohner, Martin, 1966-

Committee Member(s)

Akin, Elvan
Grow, David E.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Summer 2008

Pagination

viii, 58 pages

Rights

© 2008 Christian Keller, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Difference equations -- Oscillation theory
Differential equations
Time-series analysis

Thesis Number

T 9407

Print OCLC #

298127226

Recommended Citation

Keller, Christian, "Dynamic equations with piecewise continuous argument" (2008). Masters Theses. 5950.
https://scholarsmine.mst.edu/masters_theses/5950