Singular And Degenerate Cauchy Problems


Singular And Degenerate Cauchy Problems
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Singular And Degenerate Cauchy Problems


Singular And Degenerate Cauchy Problems
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Author :
language : en
Publisher: Academic Press
Release Date : 1977-01-13

Singular And Degenerate Cauchy Problems written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-13 with Mathematics categories.


In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering



Singular And Degenerate Cauchy Problems


Singular And Degenerate Cauchy Problems
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Author : Robert Wayne Carroll
language : en
Publisher:
Release Date : 1976

Singular And Degenerate Cauchy Problems written by Robert Wayne Carroll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Cauchy problem categories.




Singular Partial Differential Equations


Singular Partial Differential Equations
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Author : Abduhamid Dzhuraev
language : en
Publisher: CRC Press
Release Date : 1999-11-29

Singular Partial Differential Equations written by Abduhamid Dzhuraev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-29 with Science categories.


Singular Partial Differential Equations provides an analytical, constructive, and elementary approach to non-elementary problems. In the first monograph to consider such equations, the author investigates the solvability of partial differential equations and systems in a class of bounded functions with complex coefficients having singularities at the inner points or boundary of the domain. Using complex variable techniques, the author considers a variety of problems, including the Dirichlet, Neumann, and other problems for first order systems. He also explores applications to singular equations, degenerate, high-dimensional Beltrami systems in Cn,, and others. Singular Partial Differential Equations fills a gap in the literature on degenerate and singular partial differential equations and significantly contributes to the theory of boundary value problems for these equations and systems. It will undoubtedly stimulate further research in the field. Practical applications in analysis and physics make this important reading for researchers and students in physics and engineering, along with mathematicians.



Degenerate And Other Problems


Degenerate And Other Problems
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Author : Abduhamid Dzhuraev
language : en
Publisher: CRC Press
Release Date : 2020-10-07

Degenerate And Other Problems written by Abduhamid Dzhuraev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-07 with Mathematics categories.


This Monograph contains a collection of problems arising in partial differential equations investigated by means of complex analysis approached in elementary ways.



Abstract Cauchy Problems


Abstract Cauchy Problems
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Author : Irina V. Melnikova
language : en
Publisher: CRC Press
Release Date : 2001-03-27

Abstract Cauchy Problems written by Irina V. Melnikova and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-27 with Mathematics categories.


Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularizat



Transmutation Operators And Applications


Transmutation Operators And Applications
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Author : Vladislav V. Kravchenko
language : en
Publisher: Springer Nature
Release Date : 2020-04-11

Transmutation Operators And Applications written by Vladislav V. Kravchenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-11 with Mathematics categories.


Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.



Degenerate Differential Equations In Banach Spaces


Degenerate Differential Equations In Banach Spaces
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Author : Angelo Favini
language : en
Publisher: CRC Press
Release Date : 1998-09-10

Degenerate Differential Equations In Banach Spaces written by Angelo Favini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-10 with Mathematics categories.


This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the an



Degenerate Parabolic Equations


Degenerate Parabolic Equations
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Author : Emmanuele DiBenedetto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Degenerate Parabolic Equations written by Emmanuele DiBenedetto 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 2012-12-06 with Mathematics categories.


Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.



Differential Equations In Banach Spaces


Differential Equations In Banach Spaces
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Author : Giovanni Dore
language : en
Publisher: CRC Press
Release Date : 2020-10-08

Differential Equations In Banach Spaces written by Giovanni Dore and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Mathematics categories.


This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research mathematicians in functional analysis, partial differential equations, operator theory and control theory; and students in these disciplines.



Transmutation And Operator Differential Equations


Transmutation And Operator Differential Equations
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Author :
language : en
Publisher: Elsevier
Release Date : 1979-01-01

Transmutation And Operator Differential Equations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-01-01 with Mathematics categories.


Transmutation and Operator Differential Equations