Vestnik KRAUNTS. Fiziko-matematicheskie nauki

12-37

Authors: R. F. Shamoyan, V.V. Loseva

We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball and then we show also similar results in pseudoconvex and convex domains of finite type extending previously known assertions obtained by first author earlier in Bergman spaces under certain Poisson integral type condition which vanishes in one functional case. Some new (in particular sharp in the unit ball) embeddings for some new mixed norm Hardy spaces in bounded pseudoconvex domains will be also indicated. Some new extensions of Poisson integral in the unit ball and some new assertions concerning them will be indicated and discussed in product domains. Some related multifunctional results are also given.Some new embedding theorems are also provided in some new mixed norm Hardy spaces in unbounded tubular domains over symmetric cones.

47-54

Authors: Е. R. Novikova

A study is conducted on the asymptotic stability of the rest points of the fractional oscillator Van der Pol-Duffing. The fractional van der Pol-Duffing oscillator is an oscillatory system of two differential equations with fractional order derivatives in the sense of Gerasimov-Caputo. The orders of fractional derivatives characterize the properties of the medium (memory effects) in which the oscillatory process takes place and can be the same (commensurate) or different (incommensurable). Using theorems for commensurable and incommensurable systems, the asymptotic stability of the rest points of the fractional van der Pol-Duffing oscillator is investigated with concrete examples. The results of the studies were confirmed by constructing the appropriate waveforms and phase trajectories.

74-94

Authors: I. I. Chekrygin, A. A. Faraonov

This article describes the problem of using parallel computing for the correlation analysis of large amounts of data.

105-116

Authors: G. I. Druzhin, V.M Pukhov, D. V. Sannikov, E. I. Malkin, I. E. Stasiy

In order to study the natural noise electromagnetic radiation at the Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS, a VLF-recorder was developed, created and installed in Kamchatka, in the expedition point «Karymshina». Continuous observations carried out with the help of VLF-registrator allowed to study various geophysical effects associated with the propagation of radio waves, thunderstorm activity, earthquakes, cyclones.