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Integral Operators in the Theory of Linear Partial Differential Equations, Stefan Bergman


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Автор: Stefan Bergman
Название:  Integral Operators in the Theory of Linear Partial Differential Equations
ISBN: 9783642649875
Издательство: Springer
Классификация: ISBN-10: 3642649874
Обложка/Формат: Paperback
Страницы: 148
Вес: 0.23 кг.
Дата издания: 11.11.2011
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Язык: English
Размер: 234 x 156 x 9
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The present book deals with the construction of solutions of linear partial differential equations by means of integral operators which transform analytic functions of a complex variable into such solutions. The theory of analytic functions has achieved a high degree of deve- lopment and simplicity, and the operator method permits us to exploit this theory in the study of differential equations. Although the study of existence and uniqueness of solutions has been highly developed, much less attention has been paid to the investigation of function theo- retical properties and to the explicit construction of regular and singular solutions using a unified general procedure. This book attempts to fill in the gap in this direction. Integral operators of various types have been used for a long time in the mathematical literature. In this connection one needs only to mention Euler and Laplace. The author has not attempted to give a complete account of all known operators, but rather has aimed at developing a unified approach. For this purpose he uses special operators which preserve various function theoretical properties of analytic functions, such as domains of regularity, validity of series development, connection between the coefficients of these developments and location and character of singularities, etc. However, all efforts were made to give a complete bibliography to help the reader to find more detailed information.


Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 9504.00 р.
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Galois Theory of Linear Differential Equations

Автор: Van der Put Marius , Singer Michael F.
Название: Galois Theory of Linear Differential Equations
ISBN: 3540442286 ISBN-13(EAN): 9783540442288
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 8078.00 р.
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Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Fourier Integral Operators and Partial Differential Equations

Автор: J. Chazarain
Название: Fourier Integral Operators and Partial Differential Equations
ISBN: 3540071806 ISBN-13(EAN): 9783540071808
Издательство: Springer
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Цена: 5583.00 р.
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Semigroups of Linear Operators and Applications to Partial Differential Equations

Автор: Amnon Pazy
Название: Semigroups of Linear Operators and Applications to Partial Differential Equations
ISBN: 1461255635 ISBN-13(EAN): 9781461255635
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations.

Partial Differential and Integral Equations

Автор: Heinrich Begehr; R.P. Gilbert; Wen-Chung Guo
Название: Partial Differential and Integral Equations
ISBN: 1461332788 ISBN-13(EAN): 9781461332787
Издательство: Springer
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Цена: 23751.00 р.
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Partial Differential and Integral Equations

Автор: Heinrich Begehr; R.P. Gilbert; Wen-Chung Guo
Название: Partial Differential and Integral Equations
ISBN: 0792354826 ISBN-13(EAN): 9780792354826
Издательство: Springer
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Цена: 23751.00 р.
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Описание: Integral equations and boundary value problems, 4. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables.

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

Автор: P. Constantin; C. Foias; B. Nicolaenko; R. Temam
Название: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
ISBN: 1461281318 ISBN-13(EAN): 9781461281313
Издательство: Springer
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Цена: 16070.00 р.
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Описание: The theoretical part of the work is developed in Chapters 2-14, while in Chapters 15-19 we apply the theory to several remarkable partial differ- ential equations.

Topics in Differential and Integral Equations and Operator Theory

Автор: Krein
Название: Topics in Differential and Integral Equations and Operator Theory
ISBN: 3034854188 ISBN-13(EAN): 9783034854184
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103-176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718-757.


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