On the Uniform Approximation of a Class of Singular Integral Equations in a Hölder Space
Author: Allan William McInnes
Publisher:
Published: 1972
Total Pages: 128
ISBN-13:
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Author: Allan William McInnes
Publisher:
Published: 1972
Total Pages: 128
ISBN-13:
DOWNLOAD EBOOKAuthor: M. A. Goldberg
Publisher: Springer Science & Business Media
Published: 2013-11-21
Total Pages: 351
ISBN-13: 1475714661
DOWNLOAD EBOOKAuthor: A.A. Ivanov
Publisher: Springer Science & Business Media
Published: 1976-06-30
Total Pages: 358
ISBN-13: 9789028600362
DOWNLOAD EBOOKAuthor: Solomon G. Mikhlin
Publisher: Springer Science & Business Media
Published: 1987
Total Pages: 530
ISBN-13: 9783540159674
DOWNLOAD EBOOKThe present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.
Author: L. G. Mikhailov
Publisher: Walter de Gruyter GmbH & Co KG
Published: 1970-12-31
Total Pages: 232
ISBN-13: 3112729153
DOWNLOAD EBOOKNo detailed description available for "A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients".
Author: V. K. Dzyadyk
Publisher: VSP
Published: 1995
Total Pages: 340
ISBN-13: 9789067641944
DOWNLOAD EBOOKThis book is the result of 20 years of investigations carried out by the author and his colleagues in order to bring closer and, to a certain extent, synthesize a number of well-known results, ideas and methods from the theory of function approximation, theory of differential and integral equations and numerical analysis. The book opens with an introduction on the theory of function approximation and is followed by a new approach to the Fredholm integral equations to the second kind. Several chapters are devoted to the construction of new methods for the effective approximation of solutions of several important integral, and ordinary and partial differential equations. In addition, new general results on the theory of linear differential equations with one regular singular point, as well as applications of the various new methods are discussed.
Author: George A. Anastassiou
Publisher: Springer Science & Business Media
Published: 2011-07-25
Total Pages: 88
ISBN-13: 1461405890
DOWNLOAD EBOOKApproximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level.
Author: Ricardo Estrada
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 433
ISBN-13: 1461213827
DOWNLOAD EBOOKMany physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0
Author: I. Gohberg
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 226
ISBN-13: 3034886020
DOWNLOAD EBOOKThis monograph is the second volume of a graduate text book on the modern theory of linear one-dimensional singular integral equations. Both volumes may be regarded as unique graduate text books. Singular integral equations attract more and more attention since this class of equations appears in numerous applications, and also because they form one of the few classes of equations which can be solved explicitly. The present book is to a great extent based upon material contained in the second part of the authors' monograph [6] which appeared in 1973 in Russian, and in 1979 in German translation. The present text includes a large number of additions and complementary material, essentially changing the character, structure and contents of the book, and making it accessible to a wider audience. Our main subject in the first volume was the case of closed curves and continuous coeffi cients. Here, in the second volume, we turn to general curves and discontinuous coefficients. We are deeply grateful to the editor Professor G. Heinig, to the translator Dr. S. Roeh, and to the typist Mr. G. Lillack, for their patient work. The authors Ramat-Aviv, Ramat-Gan, May 26, 1991 11 Introduction This book is the second volume of an introduction to the theory of linear one-dimensional singular integral operators. The main topics of both parts of the book are the invertibility and Fredholmness of these operators. Special attention is paid to inversion methods.
Author: Leonid Grigorʹevich Mikhaĭlov
Publisher:
Published: 1970
Total Pages: 240
ISBN-13:
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