ABSTRACT
It is very difficult to overestimate the significance of potential theory methods both in the theoretical study of static and quasi-static problems of diffraction of electromagnetic waves and in solving them numerically. There are numerous papers and monographs on these questions. The interest in analogous methods for the approximate solving of essentially non-stationary problems is now on the increase. But in order to promote the further development of corresponding numerical methods, it is necessary to have a sound base that is a mathematically rigorous and sufficiently complete theory of non-stationary boundary equations in electromagnetic problems. The fact is that the boundary equations in the non-stationary case differ essentially from those in the static and quasi-static cases with some very important properties. And it is these properties that influence the convergence and stability of their numerical solution algorithms.
