Generalized Functions And Partial Differential Equations
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Generalized Functions Theory And Technique
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Author : Ram P. Kanwal
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-01-01
Generalized Functions Theory And Technique written by Ram P. Kanwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
This second edition of Generalized Functions has been strengthened in many ways. The already extensive set of examples has been expanded. Since the publication of the first edition, there has been tremendous growth in the subject and I have attempted to incorporate some of these new concepts. Accordingly, almost all the chapters have been revised. The bibliography has been enlarged considerably. Some of the material has been reorganized. For example, Chapters 12 and 13 of the first edition have been consolidated into Chapter 12 of this edition by a judicious process of elimination and addition of the subject matter. The new Chapter 13 explains the interplay between the theories of moments, asymptotics, and singular perturbations. Similarly, some sections of Chapter 15 have been revised and included in earlier chapters to improve the logical flow of ideas. However, two sections are retained. The section dealing with the application of the probability theory has been revised, and I am thankful to Professor Z.L. Crvenkovic for her help. The new material included in this chapter pertains to the modern topics of periodic distributions and microlocal theory. I have demonstrated through various examples that familiarity with the generalized functions is very helpful for students in physical sciences and technology. For instance, the reader will realize from Chapter 6 how the generalized functions have revolutionized the Fourier analysis which is being used extensively in many fields of scientific activity.
Generalized Functions And Partial Differential Equations
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Author : Avner Friedman
language : en
Publisher:
Release Date : 1968
Generalized Functions And Partial Differential Equations written by Avner Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Differential equations, Partial categories.
Generalized Functions And Partial Differential Equations
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Author : Georgiĭ Evgenʹevich Shilov
language : en
Publisher:
Release Date : 1968
Generalized Functions And Partial Differential Equations written by Georgiĭ Evgenʹevich Shilov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
Generalized Functions And Partial Differential Equations
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Author : Avner Friedman
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30
Generalized Functions And Partial Differential Equations written by Avner Friedman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.
Generalized Solutions Of Functional Differential Equations
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Author : Joseph Wiener
language : en
Publisher: World Scientific
Release Date : 1993
Generalized Solutions Of Functional Differential Equations written by Joseph Wiener and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing the stability, oscillation and periodic properties of the solutions. Considerable attention is also given to the study of initial and boundary-value problems for partial differential equations of mathematical physics with discontinuous time delays. In fact, a large part of the book is devoted to the exploration of differential and functional differential equations in spaces of generalized functions (distributions) and contains a wealth of new information in this area. Each topic discussed appears to provide ample opportunity for extending the known results. A list of new research topics and open problems is also included as an update.
Partial Differential Equations
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Author : Friedrich Sauvigny
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-04
Partial Differential Equations written by Friedrich Sauvigny and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-04 with Mathematics categories.
This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. We solve partial differential equations via integral representations in this volume, reserving functional analytic solution methods for Volume Two.
Generalized Functions And Partial Differential Equations
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Author : Georgij Evgen'evǐc Shilov
language : en
Publisher:
Release Date : 1968
Generalized Functions And Partial Differential Equations written by Georgij Evgen'evǐc Shilov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Operational Calculus And Generalized Functions
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Author : Arthur Erdelyi
language : en
Publisher: Courier Corporation
Release Date : 2013-07-24
Operational Calculus And Generalized Functions written by Arthur Erdelyi and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Mathematics categories.
Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.
Nonlinear Theory Of Generalized Functions
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Author : Michael Oberguggenberger
language : en
Publisher: CRC Press
Release Date : 1999-03-16
Nonlinear Theory Of Generalized Functions written by Michael Oberguggenberger and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-16 with Mathematics categories.
Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis. The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.
Generalized Functions And Partial Differential Equations
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Author : Georgij Evgen'evič Šilov
language : en
Publisher:
Release Date : 1968
Generalized Functions And Partial Differential Equations written by Georgij Evgen'evič Šilov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Differential equations, Partial categories.