Singular Integral Equations by Ricardo Estrada, Ram P. Kanwal
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About this book :-
Singular Integral Equations written by
Ricardo Estrada, Ram P. Kanwal.
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, mechanics, fluid dynamics, scattering of acoustic, electromagnetic and earthquake 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. The distinguishing feature of this equation is that the kernel is a difference kernel and that the interval of integration is [0, (0).
We examine several variants and extensions of these equations, for example, on contours of the complex plane. Similarly, we present the solutions of double and triple integral equations. But unlike regular equations, no general theory is available for singular integral equations, so that all of the above-mentioned singular equations are studied on an ad-hoc basis. We have therefore introduced generalized functions to provide a common thread in our analysis of these equations.
(Ricardo Estrada, Ram P. Kanwal)
Book Detail :-
Title: Singular Integral Equations
Author(s): Ricardo Estrada, Ram P. Kanwal
Publisher: Birkhäuser Basel
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About Author :-
The author Ram P. Kanwal, Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania, PA 16802, US.
The author Ricardo Estrada, Escuela de Matematica, Universidad de Costa Rica, 2060 San Jose, Costa Rica.
All Famous Books of this Author :-
Here is list of all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Singular Integral Equations by Ricardo Estrada, Ram P. Kanwal
• Download PDF Linear Integral Equations Theory & Technique by Ram P. Kanwal
• Download PDF Generalized Functions: Theory & Applications by Ram P. Kanwal
• Download PDF Asymptotic Analysis: A Distributional Approach by Ricardo Estrada, Ram P. Kanwal
• Download PDF Asymptotic Analysis (2E): A Distributional Approach by Ricardo Estrada, Ram P. Kanwal
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Book Contents :-
Singular Integral Equations written by
Ricardo Estrada, Ram P. Kanwal
cover the following topics.
1. Reference Material
2. Abel's and Related Integral Equations
3. Cauchy Type Integral Equations
4. Carleman Type Integral Equations
5. Distributional Solutions of Singular Integral Equations
6. Distributional Equations on the Whole Line
7. Integral Equations with Logarithmic Kernels
8. Wiener-Hopf Integral Equations
9. Dual and Triple Integral Equations
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