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There was supplied elements of the solution theory for singular integral equations in the class of wholly integrable and non–integrable functions and the elements of the theory of the simple and double layer potential for the Helmholtz equation. There was supplied elements of the solution theory for ...

An analysis of ill-posed electrodynamic problems formulated in the form of the 1-st kind Fredholm integral equations (IE) is carried out. It is shown that the Tykhonoff regularization of ill-posed problems ensures stable solutions for electromagnetic field only on the surface, where the 1-st kind Fredholm IE is posed. A well-posed method of physical regularization for electrodynamics boundary-value problems is proposed and justified. Successes of modern radio electronics

The method for calculating the electromagnetic field of a radiating object in its near zone, the derived singular integral representations for the components of the electromagnetic field allow for computing the field in any point of space by integrating the direct-axis current is offered; the standard method uses the thin vibration generator method that ...