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Author : H. M. Srivastava
Publisher : New York : Wiley
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (44 download)
Download or read book Convolution Integral Equations, with Special Function Kernels written by H. M. Srivastava and published by New York : Wiley. This book was released on 1977 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hari M. Srivastava
Publisher : Springer
ISBN 13 : 9780792318910
Total Pages : 264 pages
Book Rating : 4.3/5 (189 download)
Download or read book Theory and Applications of Convolution Integral Equations written by Hari M. Srivastava and published by Springer. This book was released on 1992-08-31 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. An extensive and well-motivated discussion of some open questions and of various important directions for further research is also presented. The book has been written so as to be self-contained, and includes a list of symbols with their definitions. For users of convolution integral equations, the volume contains numerous, well-classified inversion tables which correspond to the various convolutions and intervals of integration. It also has an extensive, up-to-date bibliography. The convolution integral equations which are considered arise naturally from a large variety of physical situations and it is felt that the types of solutions discussed will be usefull in many diverse disciplines of applied mathematics and mathematical physical. For researchers and graduate students in the mathematical and physical sciences whose work involves the solution of integral equations.
Author : B. L. Moiseiwitsch
Publisher : Courier Corporation
ISBN 13 : 048615212X
Total Pages : 176 pages
Book Rating : 4.4/5 (861 download)
Download or read book Integral Equations written by B. L. Moiseiwitsch and published by Courier Corporation. This book was released on 2011-11-30 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text begins with simple examples of a variety of integral equations and the methods of their solution, and progresses to become gradually more abstract and encompass discussions of Hilbert space. 1977 edition.
Author : Hari M. Srivastava
Publisher : Springer Science & Business Media
ISBN 13 : 9401580928
Total Pages : 259 pages
Book Rating : 4.4/5 (15 download)
Download or read book Theory and Applications of Convolution Integral Equations written by Hari M. Srivastava and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. An extensive and well-motivated discussion of some open questions and of various important directions for further research is also presented. The book has been written so as to be self-contained, and includes a list of symbols with their definitions. For users of convolution integral equations, the volume contains numerous, well-classified inversion tables which correspond to the various convolutions and intervals of integration. It also has an extensive, up-to-date bibliography. The convolution integral equations which are considered arise naturally from a large variety of physical situations and it is felt that the types of solutions discussed will be usefull in many diverse disciplines of applied mathematics and mathematical physical. For researchers and graduate students in the mathematical and physical sciences whose work involves the solution of integral equations.
Author : V.V. Volchkov
Publisher : Springer Science & Business Media
ISBN 13 : 9401000239
Total Pages : 454 pages
Book Rating : 4.4/5 (1 download)
Download or read book Integral Geometry and Convolution Equations written by V.V. Volchkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective. On the other hand, when we work with complex measures or forms, operators appear whose kernels are non-trivial but which describe important classes of functions. Most of the questions arising here relate, in one way or another, to the convolution equations. Some of the well known publications in this ?eld include the works by J. Radon, F. John, J. Delsarte, L. Zalcman, C. A. Berenstein, M. L. Agranovsky and recent monographs by L. H ̈ ormander and S. Helgason. Until recently research in this area was carried out mostly using the technique of the Fourier transform and corresponding methods of complex analysis. In recent years the present author has worked out an essentially di?erent methodology based on the description of various function spaces in terms of - pansions in special functions, which has enabled him to establish best possible results in several well known problems.
Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 0203881052
Total Pages : 1143 pages
Book Rating : 4.2/5 (38 download)
Download or read book Handbook of Integral Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2008-02-12 with total page 1143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Author : Sudeshna Banerjea
Publisher : Springer Nature
ISBN 13 : 9819963605
Total Pages : 269 pages
Book Rating : 4.8/5 (199 download)
Download or read book Integral Equations and Integral Transforms written by Sudeshna Banerjea and published by Springer Nature. This book was released on 2023-10-18 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathematics and physics. The book covers a range of topics including Volterra and Fredholm integral equations, the second kind of integral equations with symmetric kernels, eigenvalues and eigen functions, the Hilbert–Schmidt theorem, and the solution of Abel integral equations by using an elementary method. In addition, the book covers various integral transforms including Fourier, Laplace, Mellin, Hankel, and Z-transforms. One of the unique features of the book is a general method for the construction of various integral transforms and their inverses, which is based on the properties of delta function representation in terms of Green’s function of a Sturm–Liouville type ordinary differential equation and its applications to physical problems. The book is divided into two parts: integral equations and integral transforms. Each chapter is supplemented with numerous illustrative examples to aid in understanding. The clear and concise presentation of the topics covered makes this book an ideal resource for students, researchers, and professionals interested in the theory and application of linear integral equations and integral transforms.
Author : Vladimir Vasilyev
Publisher : Springer Nature
ISBN 13 : 3031285050
Total Pages : 294 pages
Book Rating : 4.0/5 (312 download)
Download or read book Differential Equations, Mathematical Modeling and Computational Algorithms written by Vladimir Vasilyev and published by Springer Nature. This book was released on 2023-06-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science. Theoretical papers devoted to the qualitative analysis of emerging mathematical objects, theorems of the existence and uniqueness of solutions to the boundary value problems under study are presented, and numerical algorithms for their solution are described. Some issues of mathematical modeling are also covered; in particular, in problems of economics, computational aspects of the theory of differential equations and boundary value problems are studied. The articles are written by well-known experts and are interesting and useful to a wide audience: mathematicians, representatives of applied sciences and students and postgraduates of universities engaged in applied mathematics.
Author : S.B. Yakubovich
Publisher : Springer Science & Business Media
ISBN 13 : 9401111960
Total Pages : 335 pages
Book Rating : 4.4/5 (11 download)
Download or read book The Hypergeometric Approach to Integral Transforms and Convolutions written by S.B. Yakubovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals. We hope that this simple approach, which will be explained below, allows students, post graduates in mathematics, physicists and technicians, and serious mathematicians and researchers to find in this book new interesting results in the theory of integral transforms, special functions, and convolutions. The idea of this approach can be found in various papers of many authors, but systematic discussion and development is realized in this book for the first time. Let us explain briefly the basic points of this approach. As it is known, in the theory of special functions and its applications, the hypergeometric functions play the main role. Besides known elementary functions, this class includes the Gauss's, Bessel's, Kummer's, functions et c. In general case, the hypergeometric functions are defined as a linear combinations of the Mellin-Barnes integrals. These ques tions are extensively discussed in Chapter 1. Moreover, the Mellin-Barnes type integrals can be understood as an inversion Mellin transform from the quotient of products of Euler's gamma-functions. Thus we are led to the general construc tions like the Meijer's G-function and the Fox's H-function.
Author : Stephen M. Zemyan
Publisher : Springer Science & Business Media
ISBN 13 : 0817683496
Total Pages : 350 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Classical Theory of Integral Equations written by Stephen M. Zemyan and published by Springer Science & Business Media. This book was released on 2012-07-10 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field. With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are: A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; Thorough discussions of the analytical methods used to solve many types of integral equations; An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; Over 80 illustrative examples that are explained in meticulous detail; Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have. The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study. Scientists and engineers who are working in the field will also find this text to be user friendly and informative.
Author : Ricardo Estrada
Publisher : Springer Science & Business Media
ISBN 13 : 1461213827
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)
Download or read book Singular Integral Equations written by Ricardo Estrada and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many 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 : Jirō Kondō
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.X/5 (3 download)
Download or read book Integral Equations written by Jirō Kondō and published by Oxford University Press, USA. This book was released on 1991 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral equations arise in a very wide variety of mathematical and scientific problems. This textbook is devoted to the study and solution of such equations and it simultaneously provides a unified treatment of the theory together with a description of the range of methods for their solution. Professor Kondo's wide experience in science and engineering ensures that the many applications presented here are both up-to-date and relevant to current problems. Throughout, a wide selection of exercises will help further a student's understanding of the subject as well as give them a familiarity with the most important methods of solution. Consequently, this book will be ideal for final year undergraduates and postgraduates studying integral equations for the first time. All the main classes of integral equations are covered, including Volterra, Fredholm, and nonlinear integral equations. The close relationship with differential equations is also explored in order that students develop an understanding of the relationship between the two classes of equation and their relative merits for solving problems.
Author : Thanh Hai Nguyen
Publisher : World Scientific
ISBN 13 : 9789810206901
Total Pages : 318 pages
Book Rating : 4.2/5 (69 download)
Download or read book The Double Mellin-Barnes Type Integrals and Their Applications to Convolution Theory written by Thanh Hai Nguyen and published by World Scientific. This book was released on 1992 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.
Author : Anatoly A. Kilbas
Publisher : CRC Press
ISBN 13 : 0203487370
Total Pages : 399 pages
Book Rating : 4.2/5 (34 download)
Download or read book H-Transforms written by Anatoly A. Kilbas and published by CRC Press. This book was released on 2004-03-17 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations.
Author : Matiur Rahman
Publisher : WIT Press
ISBN 13 : 1845641019
Total Pages : 385 pages
Book Rating : 4.8/5 (456 download)
Download or read book Integral Equations and Their Applications written by Matiur Rahman and published by WIT Press. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.
Author : Ram P. Kanwal
Publisher : Springer Science & Business Media
ISBN 13 : 1461207657
Total Pages : 327 pages
Book Rating : 4.4/5 (612 download)
Download or read book Linear Integral Equations written by Ram P. Kanwal and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Linear Integral Equations continues the emphasis that the first edition placed on applications. Indeed, many more examples have been added throughout the text. Significant new material has been added in Chapters 6 and 8. For instance, in Chapter 8 we have included the solutions of the Cauchy type integral equations on the real line. Also, there is a section on integral equations with a logarithmic kernel. The bibliography at the end of the book has been exteded and brought up to date. I wish to thank Professor B.K. Sachdeva who has checked the revised man uscript and has suggested many improvements. Last but not least, I am grateful to the editor and staff of Birkhauser for inviting me to prepare this new edition and for their support in preparing it for publication. RamP Kanwal CHAYfERl Introduction 1.1. Definition An integral equation is an equation in which an unknown function appears under one or more integral signs Naturally, in such an equation there can occur other terms as well. For example, for a ~ s ~ b; a :( t :( b, the equations (1.1.1) f(s) = ib K(s, t)g(t)dt, g(s) = f(s) + ib K(s, t)g(t)dt, (1.1.2) g(s) = ib K(s, t)[g(t)fdt, (1.1.3) where the function g(s) is the unknown function and all the other functions are known, are integral equations. These functions may be complex-valued functions of the real variables s and t.
Author : Valeriy Volchkov
Publisher :
ISBN 13 : 9789401000246
Total Pages : 468 pages
Book Rating : 4.0/5 (2 download)
Download or read book Integral Geometry and Convolution Equations written by Valeriy Volchkov and published by . This book was released on 2014-01-15 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
