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41 
On the connection formulas of Painlevé transcendents /Zhang, Haiyu. January 2009 (has links) (PDF)
Thesis (Ph.D.)City University of Hong Kong, 2009. / "Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [95]100)

42 
Constructing special Lagrangian cones /Haskins, Mark, January 2000 (has links)
Thesis (Ph. D.)University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 8591). Available also in a digital version from Dissertation Abstracts.

43 
An exploration of Diophantine equationsHoffmaster, Christina Diane 27 November 2012 (has links)
This paper outlines recent research on Diophantine equations. The topics discussed include methods for generating solutions to specific equations and analysis of patterns in solutions to some specific equations / text

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Meromorphic solutions of complex differential equationsWu, Chengfa, 吳成發 January 2014 (has links)
The objective of this thesis is to study meromorphic solutions of complex algebraic ordinary differential equations (ODEs). The thesis consists of two main themes. One of them is to find explicitly all meromorphic solutions of certain class of complex algebraic ODEs. Since constructing explicit solutions of complex ODEs in general is very difficult, the other theme (motivated by the classical conjecture proposed by Hayman in 1996) is to establish estimations on the growth of meromorphic solutions in terms of Nevanlinna characteristic function.
The tools from complex analysis that will be used have been collected in Chapter 1. Chapter 2 is devoted to introducing a method, which was first used by Eremenko and later refined by Conte and Ng, to give a classification of some complex algebraic autonomous ODEs. Under certain assumptions, based on local singularity analysis and Nevanlinna theory, this method shows that all meromorphic solutions of these ODEs if exist, must belong to ‘class W’, which consists of elliptic functions and their degenerations. Combined with knowledge from function theory, as shown by Demina and Kudryashov, it further allows us to find all of them explicitly and the details of the method will be illustrated by constructing new real meromorphic solutions of the stationary case of cubicquintic SwiftHohenberg equation. In Chapter 3, the same method is used to construct on R^n, n ≥ 2 some explicit Bryant solitons and on R^n\{0}, n ≥ 2 some Ricci solitons, and one of them turns out to be a new Ricci soliton on R^5\{0}. In addition, the completeness of corresponding metrics on the Ricci solitons that we have constructed are also discussed.
In 1996, Hayman conjectured an upper bound on the growth, in terms of Nevanlinna characteristic function, of meromorphic solutions of complex algebraic ODEs. Related work in the literature towards this socalled classical conjecture is first reviewed in Chapter 4. The classical conjecture for three types of second order complex algebraic ODEs will then be verified by either giving a classification of the meromorphic solutions or obtaining them explicitly in Chapter 4. As the classical conjecture seems to be out of reach at present, we proposed in Chapter 5 to study a particular class of complex algebraic ODEs which can be factorized into certain form. On one hand, for these factorizable ODEs, it has been proven for the generic case that all their meromorphic solutions must be elliptic functions or their degenerations. On the other hand, the second order factorizable ODEs have been carefully studied so that their meromorphic solutions have been obtained explicitly except one case. This will allow the classical conjecture for most of the second order factorizable ODEs to be verified by employing Nevanlinna theory and certain qualitative results from complex differential equations. Finally, the classical conjecture has been shown to be sharp in certain cases. / published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy

45 
Integral equations with Carleman kernelsMcFarlane, Keith A. (Keith Alexander) January 1969 (has links)
No description available.

46 
Singular perturbation problems of ordinary differential equationsGangal, Mahendra Kumar. January 1968 (has links)
No description available.

47 
Bifurcation in periodic differential equations and the twovariable method.Gentile, Francesco January 1973 (has links)
No description available.

48 
Certain aspects of the stability of solutions of systems of nonlinear differential equationsStubbs, Robert Taylor 05 1900 (has links)
No description available.

49 
Periodic solutions of a nonlinear second order differential equationSacker, Robert John 08 1900 (has links)
No description available.

50 
The behavior of solutions of Stieltjes integral equationsLovelady, David Lowell 05 1900 (has links)
No description available.

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