The analogue of the iterated logarithm for quantum difference equations
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, leaf iii.
Bohner, Martin, 1966-
Mathematics and Statistics
M.S. in Applied Mathematics
Missouri University of Science and Technology
v, 45 leaves
© 2009 Karl Friedrich Ulrich, All rights reserved.
Thesis - Citation
Library of Congress Subject Headings
Difference equations -- Oscillation theory
Print OCLC #
Link to Catalog Record
Ulrich, Karl Friedrich, "The analogue of the iterated logarithm for quantum difference equations" (2009). Masters Theses. 94.