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Non-regular Differential Equations And Calculations Of Electromagnetic Fields, PDF eBook

Non-regular Differential Equations And Calculations Of Electromagnetic Fields PDF

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Description

This book deals with the boundary value problems for non-regular partial differential equations in the half-plane.

Efficient methods are developed for resolution of boundary value problems for improperly elliptic equations - based on the theory of analytic functions and functional analysis - having great theoretical and practical importance.

In canonical domains (circle, ellipse, half-plane, etc.) explicit formulas for solutions to Riemann-Hilbert and Dirichlet type problems for improperly elliptic equations are obtained.

A new approach is proposed for the investigation of the harmonic oscillations of electromagnetic fields in stratified and non-homogeneous media and for the calculation of capacitors bounded by analytic surfaces.

The book can be used by professionals in a wide range of specialities, including mathematics, mechanics, physics and many realms of engineering.

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