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Comparison and Oscillation Theorems for Second Order Linear Differential EquationsYen, Wen-I 11 January 2012 (has links)
This thesis is intended to be a survey on the comparison theorems and oscillation theorems for second order linear differential equations. We shall discuss four comparison theorems in detail: Sturm-Picone, Levin, Reid and Leighton comparison theorems. For oscillation properties, we shall study Hille-Kneser theorems, and Wintner and Leighton oscillation criteria, which involves analysis of a Riccati equation. In 1969, J.S.W. Wong had some deep results about oscillatory and nonoscillatory differential equations. We shall explain these results and some of the examples in detail.
This survey is mainly based on the monographs of Swanson [12], and Deng [20], plus a paper of Wong [18]. In some places, we give simplifications and extensions.
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On continuous images of Radon-Nikodým compact spacesIancu, Mihaela. January 2001 (has links)
Thesis (Ph. D.)--York University, 2001. Graduate Programme in Mathematics and Statistics. / Typescript. Includes bibliographical references (leaves 86-87). Also available on the Internet. MODE OF ACCESS via web browser by e506ring the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pNQ66351.
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Differentiability of convex functions and Radon-Nikodym properties in Banach spaces /Ho, Kwok-hon. January 1983 (has links)
Thesis--M. Phil., University of Hong Kong, 1983.
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On the mean square formula for the Riemann zeta-function on the critical lineLee, Kai-yuen., 李啟源. January 2010 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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An index theorem in differential K-theoryKlonoff, Kevin Robert, 1972- 29 August 2008 (has links)
We construct a geometric model for differential K-theory, and prove it is isomorphic to the model proposed in [25]. We construct differential K-orientations for families and elucidate the pushforward map given in [25] in detail. We prove a geometric index theorem for odd dimensional manifolds. Finally, using this index theorem and the holonomy theorem of Bismut and Freed from [10], we prove what may be considered a special case of a geometric refinement of the Aityah-Singer index theorem. / text
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Differentiability of convex functions and Radon-Nikodym properties in Banach spaces何國漢, Ho, Kwok-hon. January 1983 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Some results on the mean square formula for the riemann zeta-functionLau, Yuk-kam., 劉旭金 January 1993 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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EXISTENCE AND UNIQUENESS OF A TWO DIMENSIONAL FREE STREAMLINE GRAVITY FLOW FOR A LIQUID ISSUING FROM A CONTAINERSuitt, Clifton Bruce, 1942- January 1971 (has links)
No description available.
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A generalization of the Fatou-Naïm Doob limit theorem /Singman, David January 1976 (has links)
No description available.
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Multiclass queueing networks with setup delays : stability analysis and heavy traffic approximationJennings, Otis Brian 05 1900 (has links)
No description available.
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