The analogue of the iterated logarithm for quantum difference equations

Author

Karl Friedrich Ulrich

Keywords and Phrases

Kneser's theorem; Time scale chain rule

Abstract

"In this thesis, we consider oscillation and nonoscillation of q-difference equations, i.e., equations that arise while studying q-calculus. In particular, we prove an extension of Kneser’s theorem on q-calculus to cases in which no conclusion can be drawn by applying Kneser’s theorem. In order to accomplish this, we establish a change of variables which yields, when applied iteratively, a sequence of comparison functions. We use these comparison functions to establish our main result. Finally, we consider an analogue result for time scales which are unbounded from above"--Abstract, page iii.

Advisor(s)

Bohner, Martin, 1966-

Committee Member(s)

Akin, Elvan
Dwilewicz, Roman

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Summer 2009

Pagination

v, 45 pages

Note about bibliography

Includes bibliographical references (page 44).

Rights

© 2009 Karl Friedrich Ulrich, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

CalculusDifference equations -- Oscillation theory

Thesis Number

T 9549

Print OCLC #

472450644

Recommended Citation

Ulrich, Karl Friedrich, "The analogue of the iterated logarithm for quantum difference equations" (2009). Masters Theses. 94.
https://scholarsmine.mst.edu/masters_theses/94