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Author: Matiur Rahman
Publisher: WIT Press
ISBN: 1845641019
Category : Mathematics
Languages : en
Pages : 385
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Book Description
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: Matiur Rahman
Publisher: WIT Press
ISBN: 1845641019
Category : Mathematics
Languages : en
Pages : 385
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Book Description
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: N. I. Muskhelishvili
Publisher: Courier Corporation
ISBN: 0486145069
Category : Mathematics
Languages : en
Pages : 466
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Book Description
DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div
Author: Zabreyko
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 472
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Book Description
The title 'Integral equations' covers many things which have very little connection with each other. However, they are united by the following important feature. In most cases, the equations involve an unknown function operated on by a bounded and often compact operator defined on some Banach space. The aim of the book is to list the main results concerning integral equations. The classical Fredholm theory and Hilbert-Schmidt theory are presented in Chapters II and III. The preceding Chapter I contains a description of the most important types of integral equations which can be solved in 'closed' form. Chapter IV is an important addition to Chapters II and III, as it contains the theory of integral equations with non-negative kernels. The development of this theory is mainly due to M. G. Krein. The content of the first four chapters is fairly elementary. It is well known that the Fredholm theory has been generalized for equations with compact operators. Chapter V is devoted tothis generalization. In Chapter VI one-dimensional (i.e. with one dependent variable) singular integral equations are considered. The last type of equations differ from that considered in the preceding chapters in that singular integral operators are not compact but only bounded in the usual functional spaces.
Author: L. M. Delves
Publisher: CUP Archive
ISBN: 9780521357968
Category : Mathematics
Languages : en
Pages : 392
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Book Description
This textbook provides a readable account of techniques for numerical solutions.
Author: Andrei D. Polyanin
Publisher: CRC Press
ISBN: 0203881052
Category : Mathematics
Languages : en
Pages : 1143
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Book Description
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: Harold Thayer Davis
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 590
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Book Description
Author:
Publisher: Elsevier
ISBN: 0080534643
Category : Mathematics
Languages : en
Pages : 623
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Book Description
Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. - Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations - Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books - Provides a valuable reference to engineers and graduate students
Author: Peter J. Collins
Publisher: Oxford University Press, USA
ISBN: 0198533829
Category : Mathematics
Languages : en
Pages : 387
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Book Description
Differential & integral equations involve important mathematical techniques, & as such will be encountered by mathematicians, & physical & social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- & second- order ordinary & partial differential equations.
Author: John L. Volakis
Publisher: IET
ISBN: 1891121936
Category : Mathematics
Languages : en
Pages : 407
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Book Description
This text/reference is a detailed look at the development and use of integral equation methods for electromagnetic analysis, specifically for antennas and radar scattering. Developers and practitioners will appreciate the broad-based approach to understanding and utilizing integral equation methods and the unique coverage of historical developments that led to the current state-of-the-art. In contrast to existing books, Integral Equation Methods for Electromagnetics lays the groundwork in the initial chapters so students and basic users can solve simple problems and work their way up to the most advanced and current solutions.
Author: Harry Hochstadt
Publisher: John Wiley & Sons
ISBN: 1118165934
Category : Mathematics
Languages : en
Pages : 282
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Book Description
This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.
