Keywords and Phrases
Kneser's theorem; Time scale chain rule
"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.
Bohner, Martin, 1966-
Mathematics and Statistics
M.S. in Applied Mathematics
Missouri University of Science and Technology
v, 45 pages
© 2009 Karl Friedrich Ulrich, All rights reserved.
Thesis - Open Access
Difference equations -- Oscillation theory
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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~S5
Ulrich, Karl Friedrich, "The analogue of the iterated logarithm for quantum difference equations" (2009). Masters Theses. 94.