Generalized Analytic Functions

Author : I. N. Vekua
Publisher : Elsevier
ISBN 13 : 1483184676
Total Pages : 699 pages
Book Rating : 4.78/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Functions written by I. N. Vekua and published by Elsevier. This book was released on 2014-07-17 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Il'ia Nestorovič forme avant 2007 Vekua
Publisher :
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.43/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Functions written by Il'ia Nestorovič forme avant 2007 Vekua and published by . This book was released on 1962 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William T. Ross
Publisher : American Mathematical Soc.
ISBN 13 : 0821831755
Total Pages : 165 pages
Book Rating : 4.55/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Continuation written by William T. Ross and published by American Mathematical Soc.. This book was released on 2002 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. The authors use the strong analogy with the summability of divergent series to motivate the subject. They are careful to cover the various types of continuations, attempting to unify them and suggesting some open questions. The book also addresses the role of such continuations in approximation theory and operator theory. The introductory overview provides a useful look at the history and context of the theory.

Author : Ilʹâ Nestorovič Vekua
Publisher :
ISBN 13 : 9781483168869
Total Pages : pages
Book Rating : 4.67/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Functions written by Ilʹâ Nestorovič Vekua and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Rodney Needham
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.70/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Functions written by Rodney Needham and published by . This book was released on 1962 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Wolfgang Tutschke
Publisher : Springer Science & Business Media
ISBN 13 : 3662099438
Total Pages : 189 pages
Book Rating : 4.38/5 ( download)

DOWNLOAD NOW!

Download or read book Solution of Initial Value Problems in Classes of Generalized Analytic Functions written by Wolfgang Tutschke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author :
Publisher :
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.99/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Functions written by and published by . This book was released on 1962 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : N K Bliev
Publisher : CRC Press
ISBN 13 : 9780582288614
Total Pages : 160 pages
Book Rating : 4.14/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Functions in Fractional Spaces written by N K Bliev and published by CRC Press. This book was released on 1997-05-19 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : L. N. Vekua
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.28/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Analytic Functions written by L. N. Vekua and published by . This book was released on 1962 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Il'ia Nestorovich Vekua
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.68/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized analytic functions; English tr written by Il'ia Nestorovich Vekua and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: