Singular Integral Equations

Name: Singular Integral Equations
Brand: Springer, Berlin
SKU: 9781461271239
Price: 277.44 RON
Availability: InStock

Autor: Ricardo Estrada, Ram P. Kanwal

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Legare: Carte broșată

Editura: Springer, Berlin

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Many physical problems that are usually solved by differential equation techniques can be solved mor...

Informații despre carte

Autor

Ricardo Estrada, Ram P. Kanwal

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2013

Pagini

427

EAN

9781461271239

ISBN

1461271231

Enbook ID

06795101

Editura

Springer, Berlin

Greutate

676

Dimensiuni

154 x 236 x 24

Descriere completă

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 a 1. ( / Ct y, ( ) a X - Y 2. The Cauchy type integral equation b g (y) g(x)=/(x)+).. l--dy, a y-x where).. is a parameter. x Preface 3. The extension b g (y) a (x) g (x) = J (x) +).. l--dy , a y-x of the Cauchy equation. This is called the Carle man equation.

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