Points singuliers des équations différentielles PDF Download

Author: Henri Dulac
Publisher: FeniXX
ISBN: 2706239875
Category : Science
Languages : fr
Pages : 80

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Book Description
Cet ouvrage est une réédition numérique d’un livre paru au XXe siècle, désormais indisponible dans son format d’origine.

Author: Pierre Deligne
Publisher:
ISBN:
Category :
Languages : en
Pages : 134

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Book Description

Author: Po-Fang Hsieh
Publisher: Springer Science & Business Media
ISBN: 1461215064
Category : Mathematics
Languages : en
Pages : 480

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Book Description
Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.

Author: Henri Dulac
Publisher:
ISBN:
Category : Differential equations
Languages : fr
Pages : 150

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Book Description

Author: Henri Dulac
Publisher:
ISBN:
Category : Differential equations
Languages : fr
Pages : 70

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Book Description

Author: Yasutaka Sibuya
Publisher: American Mathematical Soc.
ISBN: 0821846760
Category : Mathematics
Languages : en
Pages : 286

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Book Description
This book is a translation of a 1976 book originally written in Japanese. The main attention is paid to intrinsic aspects of problems related to linear ordinary differential equations in complex domains. Examples of the problems discussed in the book include the Riemann problem on the Riemann sphere, a characterization of regular singularities, and a classification of meromorphic differential equations. Since the original book was published, many new ideas have developed, such as applications of D-modules, Gevrey asymptotics, cohomological methods, $k$-summability, and studies of differential equations containing parameters. Five appendices, added in the present edition, briefly cover these new ideas. In addition, more than 100 references have been added. This book introduces the reader to the essential facts concerning the structure of solutions of linear differential equations in the complex domain and illuminates the intrinsic meaning of older results by means of more modern ideas. A useful reference for research mathematicians, this book would also be suitable as a textbook in a graduate course or seminar.

Author: P. F. Hsieh
Publisher: Springer
ISBN: 3540364544
Category : Mathematics
Languages : en
Pages : 234

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Book Description

Author: O.A. Oleinik
Publisher: CRC Press
ISBN: 1000717372
Category : Mathematics
Languages : en
Pages : 514

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Book Description
Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in this book have Profoundly, influenced the development of modern mathematics. Of exceptional value is the article on the equation of diffusion with growing quantity of the substance. This work has found extensive application in biology, genetics, economics and other branches of natural science. Also of great importance is Petrowsky's work on a Problem which still remains unsolved - that of the number of limit cycles for ordinary differential equations with rational right-hand sides.

Author:
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 304

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Book Description

Author: V. S. Varadarajan
Publisher: American Mathematical Soc.
ISBN: 9780821810682
Category : Mathematics
Languages : en
Pages : 652

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Book Description
V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions. This book is jointly published by the AMS and the International Press.