The influence of gas bubbles on the absorption of sound wave in the liquid is investigated. It is shown that the absorption coefficient increas with the increases of viscosity of the liquid phase according to the classical theory of damping. The numerical results showed that the damping of the sound in the gas-liquid surrounds aggravated by the fact that the absorbing is getting much stronger exactly at the resonance frequency.

Keywords: gas, bubble, frequency, sound wave, oscillation, sound absorption, density, pressure field, fluctuation damping, volume concentration.

G.A. Akhundova – Azerbaijan State Marine Academy, Baku

The processes of reactive magnetron sputtering of titanium in the atmosphere of Ar/N₂ working gases under low pressure were studied. It was established that during high vacuum operating mode of magnetron sputtering system and high pumping rates under conditions of stabilization of the magnetron power the discharge voltage univalently depends on the concentration of nitrogen in the chamber, i. e., the characteristic hysteresis usual for reactive magnetron sputtering processes was not observed. At the same time titanium nitride layers with specific resistance less than 70 cm and microhardness greater than 28 GPa can be obtained with good reproducibility.

Keywords: reactive magnetron sputtering, titanium nitride, microhardness, friction coefficient, volume ware.

A.P. Dostanko – Belarusian State University of Informatics and Radioelectronics, Minsk

D.A. Golosov – Belarusian State University of Informatics and Radioelectronics, Minsk

S.M. Zavadski – Belarusian State University of Informatics and Radioelectronics, Minsk

S.N. Melnikov – Belarusian State University of Informatics and Radioelectronics, Minsk

J.E. Okojie – Belarusian State University of Informatics and Radioelectronics, Minsk

J.D. Kotingo – Belarusian State University of Informatics and Radioelectronics, Minsk

G.M. Ruban – Belarusian State University of Informatics and Radioelectronics, Minsk

The phenomenon of occurrence of photodeflection signal in gyrotropic superlattice by irradiation of Bessel light beams (BLB) was investigated. It was found that the rate of energy dissipation TE-mode BLB essentially depends on the radial coordinate normalized coordinate BLB taper angle as well as the frequency of the amplitude modulation BLB.

Keywords: photodeflection responce, gyrotropic superlattice, Bessel light beam, energy dissipation rate, amplitude of the photodeflection signal, Bessel function, heat equation.

G.S. Mityurich – Department of Physics, F. Skorina Gomel State University

E.V. Chernenok – Department of Physics, F. Skorina Gomel State University

V.V. Sviridova – Department of Physics, F. Skorina Gomel State University

A.N. Serdyukov – Department of Physics, F. Skorina Gomel State University

The results of theoretical and experimental research of pulse current influence (density 10³ À/mm², duration 10^-4 s and frequency 600–800 Hz) on the microstructure of magnesium when implementing a multi-pass electroplastic rolling are presented. The contribution of ponderomotive factors of the own magnetic and electric fields to microstructure modification is examined in conditions of the metal electronic subsystem excitation by external electromagnetic influences.

Keywords: electroplastic deformation, ponderomotive action, pinch effect, skin effect, pulse current, magnetic field, electric field, Vortex field Hall, mechanical pressure, maximum axial force.

V.S. Savenko – I.P. Shamyakin Mozyr State Pedagogical University

A.G. Silivonec – I.P. Shamyakin Mozyr State Pedagogical University

S.A. Ermokovec – I.P. Shamyakin Mozyr State Pedagogical University

The influence of energy and density of electron flux, the introduction into a target of low molecular weight compounds, laser assisting of the dispersion process, the plasma treatment of dispersion products on the molecular structure and properties of coatings based on polymers deposited from the gas phase were analyzed. The effectiveness of regulation of the structure and properties of the coatings by means of the conditions and modes change of the gas phase generation was determined.

Keywords: electron beam dispersion, polymer coatings, assisting laser, plasma treatment.

M.A. Yarmolenko – Department of Physics, F. Skorina Gomel State University

A.A. Rogachev – Department of Physics, F. Skorina Gomel State University

A.V. Rogachev – Rector of F. Skorina Gomel State University

The symmetric token-passing ring local area network with N stations in which each station has a finite capacity buffer is studied. When token arrives the ordinary service discipline with the probability p or gated discipline with the opposite probability is on. The message arrival streams at each station are assumed to be independent Poisson processes with the same rates . The matrix-vector system for the steady-state probabilities and main characteristics of the considered network are obtained.

Keywords: token-passing ring local area network, station, message, finite capacity buffer, ordinary and gated service discipline, steady-state probabilities.

V.V. Burakovski – Department of Mathematics, F. Skorina Gomel State University

Let G be a finite group and H a subgroup of G. Then H is said to be -quasinormal in G if H permutes with all Sylow subgroups Q of G such that and A generalization of Schur-Zassenhaus Theorem in terms of -quasinormal subgroups is obtained.

Keywords: -quasinormal subgroup, Sylow subgroup, Hall subgroup, soluble group.

V.O. Lukyanenko – P.O. Sukhoi Gomel State Technical University

Let be a class of groups. A finite group G is called a -group if its every non-abelian chief factor is simple and for every abelian chief factor of G. In this paper the structure of finite -groups under the assumption that is a soluble saturated formation is found. Properties of mutually permutable products of finite -groups are studied.

Keywords: finite group, -group, composition formation, mutually permutable products of subgroups.

E.N. Myslovets – Department of Mathematics, F. Skorina Gomel State University

A.F. Vasil’ev – Department of Mathematics, F. Skorina Gomel State University

The boundary value problem formulation and general solution for a circular sandwich plate deformed by nonaxisymmetric termoforces load in its plane are given. As an example, the nonaxisymmetric tension-compression plate cosine load is considered. Numerical testing of solution has been made.

Keywords: three-layer circular plate, thermoelasticity, axially symmetric load.

A.V. Nesterovich – Belarusian State University of Transport, Gomel

Asymptotic properties of the diagonal Hermite – Pade approximants of type I for the system of exponentials in which while the rest are the roots of the equation are studied. The theorems complement known results of P. Borwein, F. Wielon-sky, H. Stahl, A.V. Astafyeva, A.P. Starovoitov, obtained for the case, where the – different real numbers.

Keywords: exponential system, Hermite-Pad’e approximants, asymptotic equality, Laplace‘s method, saddle point method.

A.P. Starovoitov – Department of Mathematics, F. Skorina Gomel State University

G.N. Kazimirov – Department of Mathematics, F. Skorina Gomel State University

M.V. Sidorzov – Department of Mathematics, F. Skorina Gomel State University

The approach to the study of reliability of process control systems of production, including the potential danger elements is presented. Automation means, allowing to build a probabilistic model of the object and to evaluate the reliability of the dynamics in the implementation of the manufacturing cycle are described, taking into account the changes in the reliability of its structural elements.

Keywords: probability-algebraic simulation, reliability, safety, control systems, production processes.

Î.Ì. Demidenko – F. Skorina Gomel State University

V.S. Smorodin – Department of Mathematics, F. Skorina Gomel State University

E.I. Sukach – Department of Mathematics, F. Skorina Gomel State University

Y.V. Zherdetsky – Department of Mathematics, F. Skorina Gomel State University

A brief review and analysis of existing algorithms for compression of digital information are presented. The advantages and disadvan-tages of data compression algorithms depending on the type of digital information are considered. The software implemented on the basis of the considered algorithms is specified.

Keywords: information, compression, data compression, image compression, algorithm, compression algorithm, archive program, context modeling, encoding of information.

V.V. Kirichenko – United Institute of Informatics Problems of the National Academy of Sciences, Minsk

Principles of creation of information intelligent indoor climate control systems based on the requirements and wishes of the subjects are discussed. They allow the effective management of energy-saving systems.

Keywords: intelligent system, indoor climate, expert system.

D.I. Kuznetsov – Krivoy Rog National University

A.I. Kupin – Krivoy Rog National University

Âasic concepts as internetwork and interdomain routing are presented. The developed models and methods of QoS based routing are shown. Based on the analysis of the advantages and disadvantages of the different methods the main trends in the development of QoS based routing are revealed.

Keywords: QoS based routing, bandwidth, network resources.

N.I. Listopad – Belarusian State University of Informatics and Radioelectronics, Minsk

S.Yu. Mikhnevich – Belarusian State University of Informatics and Radioelectronics, Minsk

A.A. Hayder – Belarusian State University of Informatics and Radioelectronics, Minsk