Singular integral equations and three-dimensional problems of electromagnetic scattering

We consider the problems of electromagnetic scattering from three-dimensional inhomogeneous isotropic or anisotropic dielectric body. Based on the volume singular integral equations we investigate the solution of the problems in functional spaces. The conditions under which the integral equations are equivalent to Maxwell's equations are established. We formulate the theorems on the existence and uniqueness of the solution of the scattering problems.