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In this work, a space Hilbert problem is solved, with the boundary condition set on the boundary of the unlimited full bicircular region of class (T ∞ ) or on the boundary of the region D pq ={z∈C 2 : |z 1 | p |z 2 | q <1; p,q∈N}. The main devices used for solving the space Hilbert problem ...

In this work, the theory of boundary value problems is applied to the problem of decomposition of integral functions of two complex variables of the class [n, σ D ] into quasi-exponential basises (the received result generalizes the result received by G. D. Derevyanchenko and ...

... problems of scattered fields management are considered in the paper. The review of the basic methods of the task solution for the bodies of arbitrary geometry with radio absorbing materials and coating is given. The review is based on the use of impedance boundary conditions of different order. Successes of modern radio electronics

The method of solving problems of diffraction on non-Rayleight bodies, composed of several Rayleigh bodies is explained. The scattered field is constructed as a sum of fields, created by the assemblage of multifields, each of them is located in the corresponding point of one of the composite bodies. The samples involving two tangent to the generatrix of the cylinder and two touching in the single point spheres are considered. For the former of these samples, the curves of distribution current density...

It is offered the method that can be used to compute the scattering of the wave on one or several perfect conductors, as well as on bodies with impedance, heterogeneous and anisotropic boundary conditions. The auxiliary sources on some surfaces, situated inside these bodies are introduced; in particular, the surfaces can be spanned into points. Using the Lorenz lemma, the Fourier coefficients for the density of real or equivalent current ...