An extended model of the space of possibilities is built with the use of the measure of possibility and necessity, and the definitions of perceptive elements and perceptive sets are introduced. It is shown that a perceptive ...
The exact analytical solution of the nonstationary heat problem for many-layer cylindrical half-spaces is constructed by the method of integral transformations.
We construct the best linear methods of approximation in the Hardy and Bergman spaces of the classes of functions holomorphic in a unit disk, which are the convolutions of unit balls of the Hardy and Bergman spaces with ...
We obtain the presentation of subharmonic functions of finite gamma-growth in a half-plane. This presentation is a generalization of the known integral formulas for the subharmonic functions of finite order.
The article is dedicated to the solution of new extremal problems on non-overlapping domains with free poles on a circle and to the extension of some famous results to the case of special classes of open sets.
We study a system of differential equations that is elliptic in the sense of Petrovskii on a closed compact smooth manifold. We prove that the operator generated by the system is a Fredholm one in a refined bilateral scale ...