Masters Theses
Title
The analogue of the iterated logarithm for quantum difference equations
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, leaf 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 leaves
Note about bibliography
Includes bibliographical references (page 41).
Rights
© 2009 Karl Friedrich Ulrich, All rights reserved.
Document Type
Thesis - Citation
File Type
text
Language
English
Library of Congress Subject Headings
Calculus
Difference equations -- Oscillation theory
Thesis Number
T 9549
Print OCLC #
472450644
Link to Catalog Record
Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.
http://laurel.lso.missouri.edu/record=b7321582~S5Recommended 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
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