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.

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:

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:

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.

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.

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:

Download or read book Generalized Analytic Functions written by Helmut Florian and published by Springer. This book was released on 1998-05-31 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Generalized Analytic Functions on Riemann Surfaces written by Yuri L. Rodin and published by Springer. This book was released on 2006-11-14 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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:

Download or read book On Generalized Analytic Functions written by Gerald M. Leibowitz and published by . This book was released on 1963 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

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:

Download or read book On a New Class of Generalized Analytic Functions written by Sanford Roy Schubert and published by . This book was released on 1963 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On a Certain Class of Generalized Analytic Functions written by Edward Franklin Barnett and published by . This book was released on 1968 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Generalized Analytic Functions with Applications to Singular Ordinary and Partial Differential Equations written by Bogdan Ziemian and published by . This book was released on 1996 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Boundary Value Problems of Generalized Analytic Functions written by Gary Granoff and published by . This book was released on 1971 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: