Masters Theses
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 - Restricted Access
File Type
text
Language
English
Subject Headings
Calculus
Difference equations -- Oscillation theory
Thesis Number
T 9549
Print OCLC #
472450644
Link to Catalog Record
Electronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.
http://merlin.lib.umsystem.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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