The problem of determining the memory in two-dimensional system of integro-differential Maxwell’s equations

Аннотация

In this article, for the given canonical two-dimensional Maxwell's systems of integral-differential equations setting direct and inverse problems of determining the electric field magnetic voltage and diagonal memory matrix ti. Tasks are replaced by a closed-loop system equation of the second kind of the voltaic type with respect to but the Fourier of the image with respect to the variables x1 of the solution of the direct problem and unknown inverse problem. Next to this system the method of compressing mappings in space is applied continuous functions with a weighted norm. In this way, proving global existence theorems and unique the adequacy of the solutions to the tasks set.