Doklady of the Academy of Sciences of Belarus, 1996, Vol.40, No.4
/ Publications / Scientific Journals
Doklady of the Academy of Sciences of Belarus, 1996, Vol.40, No.4

DOKLADY OF THE ACADEMY OF SCIENCES OF BELARUS
(Doklady Akademii Nauk Belarusi)Published by The Belaruskaya Navuka Publishing House, Minsk, Republic of Belarus

CONTENTS
MATHEMATICS
Mukhin V.V.
Quasiinvariant measure on topological semigroups. pp. 58
Summary: Characterization of quasiinvariant measures was obtained on topological semigroups.
Kilbas A.A., Saigo M.
Generalized fractional integrals with Fox Hfunction on spaces F_{p,µ} and F'_{p,µ}. pp. 914
Summary: The generalized fractional integration operators involving Fox Hfunction as kernels and generalizing classical integration operators of fractional calculus are introduced. The conditions for the existence of such generalized fractional integrals on the special spaces of tested and generalized functions F_{p,µ} and F'_{p,µ} are given, their Mellin transform is evaluated and the relation of integration by parts is proved.
Melnikov O.I., Yutskevich V.Yu.
Treelike realization of hypergraphs. pp. 1518
Summary: The paper presents an algorithm of checking the possibility of realizing a hypergraph H by tree. The complexity of the algorithm is: O{min(VH, EH) summa e_{i}}, e_{i} Î EH.
Dubatovskaya M.V., Rogozin S.V.
Homogeneous characteristic equation with infinite index in the exceptional case. pp. 1923
Summary: The equivalence of the homogeneous singular integral equation with infinite index in the exceptional case and the corresponding Riemann boundary value problem has been proved. The general solution of the equation has been constructed.
Ryzhkov A, A., Chernousov V.I.
Maximality criterion for arithmetic subgroups. pp. 2428
Summary: A maximality criterion for an arithmetic subgroup Ã of a simple simply connected algebraic group G c GL_{n}(C) defined over a number field K is obtained. Using the criterion we give a classification of maximal arithmetic subgroups of the groups of types B_{l} (l > 2) and E_{7}.
Yemelichev V.A., Kravtsov M.K., Yanushkevich O.A.
Solvability of vector path bottleneck problem by linear convolution criteria algorithm. pp. 2933
Summary: The algorithm proposed by the authors makes it possible to reduce any vector path bottleneck problem to an equivalent vector problem solvable by linear convolution criteria algorithm.
Kruger A.Ya.
On calculus of strict esemidifferentials. pp. 3439
Summary: Strict esemidifferentials are introduced for nonsmooth functions on Banach space. They are compared with classical notions of strict derivative and subdifferential as well as with the generalized gradient of Clarke. The main calculus results are presented: the relations for strict tower epsilonsemidifferentials of a sum, a maximum and a superposition of nonsmooth functions.
PHYSICS
Sirota N.N., Kholodovsky V.E., Sidorov A.A.
Anharmonicity in expression for the atomic meansquare displacements. pp. 4044
Summary: The anharmonic contributions to the DebyeWaller expression for the atomic meansquare displacements as well as to those for internal energy were introduced taking into account the effect of temperature and pressure on the cutoff frequency of Debye phonon spectrum.
Rubinov A.N., Efendiev T.Sh.
DFB dye laser with stable wavelength. pp. 4548
Summary: Compact DFB dye laser with stable wavelength is developed. The laser includes an active element and a glass prism, two sides of which are covered with reflecting coatings. Interfering pumping beams are formed inside the laser in such a manner that any dependence of the laser wavelength on the angle of pumping beam incidence on an entering side of prism is practically excluded. At the same time temperature sensitivity of the laser frequency in the proposed DFB laser is reduced by the order.
Bogush A.A., Fedorovykh A.M.
On one generalization of algebra of complex numbers on multidimensional case with nonlinear operation of multiplication. pp. 4953
Summary: An operation of multiplication of vectors in a real ndimensional space (n is arbitrary) based on using plane transformations of the rotation group SO(n.R) is suggested. It generalizes the ordinary operation of multiplication of complex numbers. The introduced operation is nonlinear and nondistributive with respect to the first factor. A description of the real ncomponent Higgs field as a generalized complex field is given in terms of the developed formalism, including the elimination of n1 Goldstone fields.
Korostik K.N., Malevich I.A., Polyakov A.V.
Temperature influence on parameters of optoelectronic dynamic memory device. pp. 5458
Summary: Temperature influence on the signal to noise ratio and probability of error at the dynamic storage of information succession in reserved contour on the basis of injection laser, optical fiber and germanium avalanche photodiode is analysed. Conditions of optimization of the contour at instable environment temperature have been found.
Makarenko L.F.
Energy levels of oxygen  vacancy complex in silicon. pp. 5963
Summary: It has been shown that singlelevel model is not applicable to describe Halleffect data in Czohralskigrown nSi crystals irradiated by Co60 gammarays. To explain experimental data, Acenter in silicon is suggested to be an amphoteric center with close energy levels E(0/+) = E_{c}  0.20 eV and E(/0) = E_{c}  0.16 eV.
Knyasev M.A.
Direct method of constructing solitonlike solutions for nonlinear equations. pp. 6467
Summary: The paper presents a new direct method of integration nonlinear problems of mathematical physics in general form. This method makes it possible to construct the explicit solitonlike solution that corresponds to the coupled state of N solitons.
CHEMISTRY
Krutko N.P., Kondratyuk A.V., Dubkova V.I., Kulak A.I.
Electrochemical behaviour of carbon fibre electrodes under the action of ultrasound. pp. 6872
Summary: The effect of ultrasound cavitation on the electrochemical behaviour of the carbon fibres electrode has been investigated. A drastic increase in the efficiency of ultrasonicallyinduced electrochemical processes at the carbon fibres uniformly distributed in the volume of the electrochemical cell in contrast to the compact carbon electrode was electrochemically revealed and substantiated theoretically.
Mironov V.S., Pleskachevsky Yu.M.
On evaluation of the effective range of the surface forces of dispersed and fibrous materials. pp. 7377
Summary: The feasibility of applying the method of measuring the boundary layer thickness of testing liquid crystalline media to evaluate the effective range of the surface forces of dispersed and fibrous materials is shown. Significant increase of the surface forces effective range of the particles as the result of triboactivation is established.
Potkin V.I., Lyakhov A.S., Zapolsky V.A., Govorova A.A., Kaberdin R.V.
Crystalline and molecular structure of 1,3dinitro1,4,4trichloro1,3butadiene. pp. 7881
Summary: It has been established by the Xray structural analysis method that the diene chain in the 1,3dinitro1,4,4trichloro1,3butadiene molecule has approximately plane stransconformation.
BIOLOGY
Mikhailov N.D., Kovalyukh N.N., Klimovich Yu.A., Kolkovsky V.M., Petrovich A.A.
Radiocarbon distribution in vegetation of some regions in Belarus. pp. 8285
Summary: Radiocarbon concentrations were determined in vegetation of some regions in Belarus. The maximum ^{14}C concentrations were due to the Chernobyl NPP accident.
Barai V.N., Kukharskaya T.A., Zinchenko A.I.
RNA production from yeast using Ca^{2+} ions and its chemicoenzymatic hydrolysis to nucleosides. pp. 8690
Summary: The article presents a new approach to production of natural ribonucleosides. It is based on isolation of highpurified RNA from backer's yeast using Ca^{2+} ions, RNA hydrolysis under the action of Ca^{2+} ions followed by dephosphorylation of produced mononucleotide calcium salts to ribonucleosides using intact mycelium of Spicaria violacea.
Pavlova I.V., Deeva V.P.
Epibrassinolide effect on ATPase activity of plasmalemma and other cell components from buckwheat seedlings of a different ploidy level. pp. 9194
Summary: As was revealed by biochemical method under in vitro conditions epibrassinolide (10^{7} M) increased ATPase activity of plasma membranes isolated in sucrose isopicnic density gradient from tetraploid buckwheat (Fagopyrum esculentum Moench.) seedlings and did not change it in diploid ones within 30 min of exposure. Under in vivo conditions epibrassinolide (10^{7} M, 30 min) inhibited ATPase activity of plasma membranes irrespective of buckwheat seedling ploidy. The total ATPase activity increased by 35% in tetraploid seedlings and decreased twice in diploid ones. It was due to similar changes in the activity of ATPases that were not inhibited by uabain and orthovanadate.
Amvrosiev A.P., Nikolaevich L.N., Shimanovich E.A.
Statistical analysis of chromosome aberration frequency in human peripheral blood lymphocytes. pp. 9599
Summary: As a result of statistical analysis of cytogenetic examination results of the adult population in Gomel region, a significant increase in the chromosome aberration level and aberrant cell number was revealed. No direct dependence between the taken irradiation dose and the value of chromosome anomalies was observed. The results of the analysis of distribution parameters presenting the empiric histogrammes indicate the existence of a special mechanism of chromosome aberration formation in the form of dicentrics and rings.
Rozhdestvenskaya A.S.
Phenotypic structure of bank vole (Clethrionomys glareolus) population in Belarus. pp. 100103
Summary: Phenotypic structure of bank vole, Clethrionomys glareolus, was studied on the basis of variations in M^{3}, M_{1} structure and cranial foramens. The mean phene number increases from the centre to the north and the south of the Belarus region. The portion of rare phenes increases from the north to the south, but the number of asymmetrical individuals decreases in the same direction.
EARTH SCIENCES
Levykh N.N., Makhnach A.S.
Recognition criteria of weathering crusts on terrigenous rocks. pp. 104107
Summary: Recognition criteria of weathering crusts on terrigenous rocks are considered. The criteria include the kaolinite content and its crystallinity degree, secondary transformations of minerals and, first of all, biotite, muscovite and feldspar, alcaline and alcaline  earth element dominant removal, breaking and jointing of terrigenous material, diversity of rock colours and an elevated iron content, and occurrence on surfaces of unconformity.
Kuznetsov V.A., Generalova V.A., Yelovicheva Va.K.
New evidence for sedimentation of early holocoen in the Dnieper River valley. pp. 108112
Summary: Paleogeographical and paleogeochemical conditions of the sedimentation in the lakereservoir in the Dnieper River valley (section Staraya Trosno) during PreborealBoreal epoch are defined.
Makhnach A.A., Streltsova G.D., Kolosov I.L.
On isotopic composition of sulphide sulphur in coalbearing deposits in Belarus. pp. 113117
Summary: The diagenetic sulphide formation in the Carboniferous coalbearing sequence of Belarus and the epigenetic nature of sulphides from the Jurassic one are revealed on the basis of the sulphur isotope investigation.
TECHNICAL SCIENCES
German M.L., Nekrasov V.P., Nogotov E.F.
Numerical method for radiative transfer calculation in twophase medium with complex geometry. pp. 118122
Summary: A numerical methods for calculating the problem of radiation transfer in twophase media is proposed. The presented method is based on the wellknown integrodifferential equation of radiative transfer. Resolution algorithm of above mentioned equation is a combination of the finite element method, discreteordinate method and method of iterations. Accuracy of the proposed method is discussed.
/ Publications / Scientific Journals / Back to Top of Page
Designed and maintained by Dr. Nikolai N. Kostyukovich. Last updated: January 30, 1999
Created with assistance of Dr. Ignatii I. Korsak
Copyright © 19971999 The National Academy of Sciences of Belarus
Copyright © 1996 The Belaruskaya Navuka Publishing House