Equivalence of integral and integrofunctional equations in electrodynamic problems of diffraction by inhomogeneous bodies

Relations for fields with specified distributions of volume electric and magnetic currents are investigated. The dependence of the term outside the integral on the limit method for calculation of improper integrals is shown; an evaluation method is proposed. The relations are used to establish equivalence between integral equations with volume polarization currents and integrofunctional equations of the standard boundary-value problem of electrodynamic for an inhomogeneous ferrite body. It is shown that the solutions of both types of equations satisfy the boundary conditions. The practical use of integrofunctional equations in the form of systems of integral equations of the second kind and functional equations is discussed.