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The Analogue Of The Iterated Logarithm For Quantum Difference Equations, Karl Friedrich Ulrich
The Analogue Of The Iterated Logarithm For Quantum Difference Equations, Karl Friedrich Ulrich
Masters Theses
"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.