Generalized Analytic Functions
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Generalized Analytic Functions
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Author : I. N. Vekua
language : en
Publisher: Elsevier
Release Date : 2014-07-17
Generalized Analytic Functions written by I. N. Vekua and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-17 with Mathematics categories.
Generalized Analytic Functions is concerned with foundations of the general theory of generalized analytic functions and some applications to problems of differential geometry and theory of shells. Some classes of functions and operators are discussed, along with the reduction of a positive differential quadratic form to the canonical form. Boundary value problems and infinitesimal bendings of surfaces are also considered. Comprised of six chapters, this volume begins with a detailed treatment of various problems of the general theory of generalized analytic functions as as well as boundary value problems. The reader is introduced to some classes of functions and functional spaces, with emphasis on functions of two independent variables. Subsequent chapters focus on the problem of reducing a positive differential quadratic form to the canonical form; basic properties of solutions of elliptic systems of partial differential equations of the first order, in a two-dimensional domain; and some boundary value problems for an elliptic system of equations of the first order and for an elliptic equation of the second order, in a two-dimensional domain. The final part of the book deals with problems of the theory of surfaces and the membrane theory of shells. This book is intended for students of advanced courses of the mechanico-mathematical faculties, postgraduates, and research workers.
Generalized Analytic Functions
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Author : Il'ia Nestorovič forme avant 2007 Vekua
language : en
Publisher:
Release Date : 1962
Generalized Analytic Functions written by Il'ia Nestorovič forme avant 2007 Vekua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.
Generalized Analytic Functions In Fractional Spaces
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Author : N K Bliev
language : en
Publisher: CRC Press
Release Date : 1997-05-19
Generalized Analytic Functions In Fractional Spaces written by N K Bliev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-19 with Mathematics categories.
This book studies the foundations of the general theory of generalized analytic functions in fractional spaces. The employment of fractional spaces and embedding theorems support applications of the theory of generalized analytic functions. The results obtained are applicable to the theory of singular integral equations, boundary value problems for elliptic differential equations, functions of a complex variable, as well as the theory of plates and shells. The book will be of interest to scientific workers and specialists interested in these questions and likewise to advanced students in mechanical engineering faculties.
Generalized Analytic Functions
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Author : Ilʹi︠a︡ Nestorovich Vekua
language : en
Publisher:
Release Date : 1962
Generalized Analytic Functions written by Ilʹi︠a︡ Nestorovich Vekua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Functions of complex variables categories.
Generalized Analytic Functions On Riemann Surfaces
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Author : Yuri L. Rodin
language : en
Publisher: Springer
Release Date : 2006-11-14
Generalized Analytic Functions On Riemann Surfaces written by Yuri L. Rodin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Generalized Analytic Functions
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Author : Ilʹâ Nestorovič Vekua
language : en
Publisher:
Release Date : 2014
Generalized Analytic Functions written by Ilʹâ Nestorovič Vekua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Solution Of Initial Value Problems In Classes Of Generalized Analytic Functions
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Author : Wolfgang Tutschke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Solution Of Initial Value Problems In Classes Of Generalized Analytic Functions written by Wolfgang Tutschke 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 2013-03-09 with Mathematics categories.
The purpose of the present book is to solve initial value problems in classes of generalized analytic functions as well as to explain the functional-analytic background material in detail. From the point of view of the theory of partial differential equations the book is intend ed to generalize the classicalCauchy-Kovalevskayatheorem, whereas the functional-analytic background connected with the method of successive approximations and the contraction-mapping principle leads to the con cept of so-called scales of Banach spaces: 1. The method of successive approximations allows to solve the initial value problem du CTf = f(t,u), (0. 1) u(O) = u , (0. 2) 0 where u = u(t) ist real o. r vector-valued. It is well-known that this method is also applicable if the function u belongs to a Banach space. A completely new situation arises if the right-hand side f(t,u) of the differential equation (0. 1) depends on a certain derivative Du of the sought function, i. e. , the differential equation (0,1) is replaced by the more general differential equation du dt = f(t,u,Du), (0. 3) There are diff. erential equations of type (0. 3) with smooth right-hand sides not possessing any solution to say nothing about the solvability of the initial value problem (0,3), (0,2), Assume, for instance, that the unknown function denoted by w is complex-valued and depends not only on the real variable t that can be interpreted as time but also on spacelike variables x and y, Then the differential equation (0.
Generalized Analytic Functions
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Author : Helmut Florian
language : en
Publisher: Springer
Release Date : 1998-05-31
Generalized Analytic Functions written by Helmut Florian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-31 with Mathematics categories.
Contains papers from a January 1997 conference at the Technical University of Graz. Part I looks at generalized analytic functions, dealing not only with problems in the complex plane but also related problems in higher dimensions where several complex variables and Clifford Analysis are used. Part II is devoted to applications of partial differential equations to mechanics, with contributions on boundary elements and asymptotic methods, and hemivariational inequalities. A substantial number of papers in Part II deal with problems of ocean acoustics. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Generalized Analytic Continuation
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Author : William T. Ross
language : en
Publisher: American Mathematical Soc.
Release Date :
Generalized Analytic Continuation written by William T. Ross and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The book addresses the following questions: (1) When can we say, in some reasonable way, that component functions of a meromorphic function on a disconnected domain, are "continuations" of each other? (2) What role do such "continuations" play in certain aspects of approximation theory and operator theory?
Generalized Analytic Functions On Riemann Surfaces
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Author : Yuri L. Rodin
language : en
Publisher:
Release Date : 2014-01-15
Generalized Analytic Functions On Riemann Surfaces written by Yuri L. Rodin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.