Doklady of the National Academy of Sciences of Belarus, 2001, Vol.45, No.1
/ Publications / Scientific Journals
Doklady of the National Academy of Sciences of Belarus, 2001, Vol.45, No.1

DOKLADY OF THE NATIONAL ACADEMY OF SCIENCES OF BELARUS
(Doklady Natsionalnoi Akademii Nauk Belarusi)Published by The Belaruskaya Navuka Publishing House, Minsk, Republic of Belarus 
CONTENTS
MATHEMATICS
Bahtin V. I.
Superregular perturbation asymptotic of semigroup of operators. pp. 58.
Summary: In this paper we construct an asymptotic expansion for the family of operators A_{e} ^{t/e } e^{zF/e} , where A_{e}^{t} is a superregular perturbation of a fiber ergodic semigroup.
BenyashKrivets V. V.
Representation varieties of Fgroups and their generalizations. pp. 912
Summary: It is found all irreducible components of the representation variety R_{n}(G_{g}) of an Fgroup G _{g} of genus g ³ 2 and proved their rationality.
Rabtsevich V. A.
On nondecreasing singular solutions of Emden  Fowler systems. pp. 1316
Summary: For Emden  Fowler type systems of differential equations necessary and sufficient condition to have nondecreasing singular solutions with prescribed singular point is established. Two  sided asymptotic estimates of the solutions are obtained.
Tishchenko K. I.
On approximation of real numbers by algebraic integers of the third degree. pp. 1719
Summary: In this paper we prove the following. Theorem. For any real number x which is not a rational number or quadratic irrational, there exist infinitely many algebraic integers a of third degree such that x  a << H(a)^{2,8}, where H(a) is the height of a, << is the symbol of Vinogradov. The implicit constant in << depends on x only.
Lipnitsky A. A.
pPrimary torsion of Bauer groups of elliptic curves with split multiplicative reduction over real formal power series. pp. 2024
Summary: An abstract structure of odd pprimary torsion of Brauer groups of elliptic curves with split multiplicative reduction defined over real formal power series has been obtained. The presentation of elements of Brauer groups by crossed product algebras is provided.
Gabasov R., Kirillova F. M.
Stabilization of nonlinear dynamic systems under large initial disturbing. pp. 2528
Summary: A method of constructing stabilizing feedbacks of nonlinear dynamic systems based on linear, piecewise linear or piecewise linear quadratic approximation of nonlinear elements and the optimal feedback control is under consideration. The method provides the maximal possible domain of stabilization and definite extremal properties of transients.
Erovenko V. A., Severenchuk N. B.
Weyl's theorem and semiBrowder essential spectrums. pp. 2933
Summary: In this paper analogs of Weyl's theorem for Browder essential approximate point spectrum and Browder essential approximate defect spectrum of bounded operators in Banach space were established.
Lomovtsev F. E.
Hyperbolic secondorder differentialoperatorial equations with variable domains of smooth operator coefficients. pp. 3437
Summary: The existence and uniqueness theorems of strong solutions of the Cauchy problem for hyperbolic secondorder differential equations with variable domains of smooth operator coefficients are proved.
Emelichev V. A., Stepanishina Yu. V.
Criterions of quasistablility for the vector trajectory problem of majority principle of optimality. pp. 3841
Summary: A quasistability criterion is given for the vector trajectory problem of discrete majority optimization.
Tikhonov S. V., Yanchevskii V. I.
Unramified algebras of exponent 2 over function fields of split hyperelliptic curves. pp. 4244
Summary: The description of generators and relations of 2torsion part of Brauer groups of hyperelliptic curves of even degree is obtained.
Gaishun I. V., Goryachkin V. V.
Minimal realization of twoparameter discretecontinuous systems. pp. 4547
Summary: The method of construction of minimal realization for twoparameter discretecontinuous systems is proposed.
PHYSICS
Ermolaev E. A., Shapovalov P. S.
For the polaron theory. pp. 4851
Summary: By a developed iterative method, the numerical solutions of the polaron problem discribing polaron's spherically symmetric states ns (n = 1, ..., 15) are obtained. The accuracies of the cases n = 1, ..., 6, having been calculated before, are improved. Asimple analytical approximation of the energy spectrum of studied states is found.
Pilipovich V. A., Esman A. K., Goncharenko I. A., Kuleshov V. K.
Controllable radiation frequency tuning of fiberoptic and waveguide lasers. pp. 5255
Summary: The method for fast controllable tuning of the radiation wavelength of fiberoptic or waveguide laser is proposed. Bragg grating written on waveguide electrooptic modulator is used simultaneously as a wavelength selective element and a mirror of external laser cavity. Applying control voltage to grating electrodes it is possible to shift grating reflectivity spectrum and by this tune laser radiation region. Frequency tuning inside of grating reflectivity bandwidth is produced by the use of intercavity waveguide electrooptic cell. Spectral parameters of laser radiation have been calculated. It is shown, that the region of continuous tuning of such a laser for control voltage up to 5 Vis about 0.2 nm and the switching time is < 0.08 ns.
Parashchuk V. V., Gribkovskiy V. P. †
Autooscillations of electronphoton system under streamer discharge. pp. 5659
Summary: The electronphotonelectric field system dynamics has been analysed taking into account the processes of impact ionization, the spontaneous and stimulated recombinations during streamer discharge in semiconductors. It has been shown that in given system the different autooscillation regimes and the spatiallyinhomogeneous dissipative structures as the selforganization elements are possible. The efficiencies comparison of the possible generation mechanisms of nonequilibrium carriers show that the photoionization process prevail in these conditions.
Goncharenko A. M.
For the light bullets theory. pp. 6063
Summary: Gaussin's functions are used to investigate properties of light bullets. It is shown that the light bullets oscillate in space and time.
CHEMISTRY
Shchukin D. G., Kulak A. I., Sviridov D. V.
Ferrite microheterogeneous photocatalists on basic, of titanium dioxide. pp. 6467
Summary: The magnetorheological photocatalyst of coreshell type, which can be extracted from the treated aqueous media by applying magnetic field, is proposed. It has been demonstrated with a photocatalyst comprising TiO_{2} shell and ferrite or manganite magnetic core that the photocatalytic activity compatible to that of commercial TiO_{2} photocatalyst Sachtleben Hombikat UV 100 can be attained by deposition of SiO_{2} sublayer which separates the magnetic core and TiO_{2} shell thus preventing the parasitic trapping of photogenerated carriers in the core.
Osipovich N. P., Streltsov E. A., Susha A. S.
Bismuth adatoms chemical and electrochemical deposition on the tellurium films surface. pp. 6871
Summary: Chemical underpotential deposition (UPD) of monolayers structures of Bi adatoms (Bi_{ad}) onto Te has been studied in solution containing Ti(IV)/Ti(III) redox pair. This process was compared with electrochemical UPD of Bi on Te. The stability of Bi_{ad} without the external polarization of the electrode has been investigated.
Potkin V. I., Zelenkovsky V. M., Kaberdin R. V., Yanuchok A. A.
Quantumchemical calculations for the reaction of 2(1nitro2,3,3 trichloro2propenyliden)4ethoxybenzazatine with diethylamine. pp. 7274
Summary: By quantumchemical calculatioas it was shown that the formation of the salt of 1(4ethoxybenzazet2yl)2,3,3trichloronitronic acid from corresponding tautomere of initial compound is more preferable thermodinamically in reacrtion of 2(1nitro2,3,3trichloropropenyliden)4ethoxybenzazetine with diethylamine then the nucleophilic substitution of chlorine atom in trichlorovinyl group.
BIOLOGY
Lastovka A. S., Pereverzev V. A., Rudenok V. V.
Morphobiochemical substantiation of microsurgery method of organ preserving operations realization on submandibular glands. pp. 7578
Summary: The experiments on dogs have shown that the most atraumatic method of the organ preserving operation on the submandibular glands is a microsurgical method, as this method doesn't result in pathologic structural changes in the gland and content changes of biogenic amines in it (histamine and serotonine) during remote posoperative periods.
Yurenkova S. I., Titok V. V., Hotyleva L. V.
Ontogenetic polymorphism of isoenzyme systems of fibre flax. pp. 7982
Summary: As a result of electrophoretic analysis of 6phosphogluconate dehydrogenase, acid phosphatase, cytochrome oxidase and aspartateaminotranspherase, considerable changes in isoenzyme spectra, caused by different expression of genes depending on the ontogenesis stage determining enzyme synthesis, were revealed in leaves of fiber flax Belinka. Isoenzyme profiles of cytochrome oxidase and aspartateaminotransferase were revealed and loci controlling development of individual isoforms of these enzymes was determined.
Gavrilov V. B., Mikhailov A. S., Konev S. V.
Main types of lowmolecular weight hydrophobic ligands distribution between blood components. pp. 8386
Summary: The distribution between an aqueous phase, plasma proteins and blood cells of a number of fluorescent probes with a different charge as an analogues of lowmolecular weight hydrophobic ligands was investigated. The simple method of account of ligand distribution between blood components on their distribution in plasma/erythrocytes and buffer/erythrocytes systems was suggested. It was shown, that for the most hydrophobic neutral ligand the binding with plasma proteins, namely with lowdensity lipoproteins. forms about 80% from its total. The anionic ligand having high albumin affinity only on 50% was binded by proteins, and the remaining part approximately is equally arranged between an aqueous phase and erythrocytes. The cationic ligands mainly binds by a1acid glycoprotein, on 50% were sorbed by erythrocytes and only 30% were binded by plasma proteins.
Pisarchik V. A., Kartel N. A.
Expression of bgalactosidase gene containing (AC)_{20} repeat in a reading frame. pp. 8790
Summary: There was investigated a possible impact of (AC)_{20} repeat insertion in a reading frame of bgalactosidase gene on its expression. It was found that simple repeat increases expression (1.5 times). Taking into account our previous results as well as the data from the literature we made a conclusion that the modulation of gene expression by simple repetitive sequences is not the main course of differences in the distribution of these repeats in translated and untranslated regions of eucaryotic genes.
Voitovich A. M.
Bone tumors of grass frog (Rana Temporaria L.). under environmental radionuclide contamination. pp. 9194
Summary: The ecologogenetic study of amphibian populations in Belarus has been carried out from 1986 to 1998. In Cherikov city (Mogilev reg.) in Rana temporaria the chromosome aberration frequency in bone marrow cells was the highest among other frog populations in 1986. Only in Rana temporaria from Cherikov and in the socalled Pershay plume (Minsk reg, Volozin district) bone tumors were observed. Both populations are from the sites not heavily radionuclide contaminated, with ^{137}Cs and ^{90}Sr accumulation in animals being not so high as around the Chernobyl NPP.
EARTH SCIENCES
Rylova T. B.
Evolutional features of Belarusian palynoflora at the end of Paleogene and during Neogene. pp. 9599
Summary: Main natural phenomena of the palynoflora evolution have been examined from the results of studying Upper Oligocene, Miocene and Pliocene deposits of the territory of Belarus and on the basis of the analisis of dinamics of palaeotropical and arctotertiary geoflora elements.
Veretennikov N. V., Korzun V. P., Makhnach A. S., Laptsevich A. G.
Late Devonian volcanogenic formations in the area of Uvarovichi. pp. 100102
Summary: Volcanic rocks revealed by boreholes within the region of local positive megnetic anomalies at the distance of, 2025 km to the northwest from Gomel mainly contain psephitic tuffs and xenotuffs of the alkaline ultrabasic suite. It form small subwater paleovolcanoes of the central type, which had been formed in the sea sedimentary basin of Voronozh time of the Late Devonian.
Konishchev V. S.
Halokinesis rates in Pripyat flexure. pp. 103106
Summary: It is proved that the rates of grow of the salt structures depends on the rates of subsidence and sedimentation and were less during the breaks of sedimentation.
Sokolik G. A., Ovsyannikova S. V., Kimlenko I. M.
Organic soil components influence on Plutonium and Americium mobility. pp. 107111
Summary: The results of investigation of ^{239,240}Pu and ^{241}Am distribution between humus substances (HS) fractions of organic and mineral soils are presented. It was established that HS mainly fasten ^{239,240}Pu and ^{241}Am in solid phase of soils, and ^{239,240}Pu more effectively than ^{241}Am. Mobility of radionuclides is essentially decreased as a result of formation of heavy soluble compounds of plutonium and americium not only with highmolecular humic acids but also with fulvic acids associated in soils with Ca, Mg, Fe, Al hydroxides and clay minerals. In majority of organic soils a share of heavy soluble HS constituents fastening radionuclides is higher than in mineral ones. That is one of the reasons of lower ^{239,240}Pu and ^{241}Am mobility in organic soils. Increasing of soil acidity increases the content of mobile ^{239,240}Pu and ^{241}Am fulvic complexes and americium cations involving into migration processes.
Kudelsky A. V., Smith G. T., Ryabov I. N., Hadering R. H.
Experiment results on the application of potassium in a nondrainage lake as a countermeasure to the ^{137}Cs accumulation in fish. pp. 112115
Summary: Three years' (19971999) fullscale experiment on the artificial application of potassium (as KCl) in a nondrainage lake as a countermeasure to the ^{137}Cs accumulation in fish was performed. The [K^{+}] content of water was noted to increase from I to 10 mg/l, and, as a consequence, a steady decrease of A^{137}Cs in fish by 976 % (redeye on the average by 47%, roach and perch  37.5, pike  27.5 %) was recorded. An increase of the ^{137}Cs concentration in water from 3.8 to 1015 Bq/l due to radiocaesium desorption from bottom sediments under the action of potassium occurred as a side effect.
Khomchynska M., Matusevich V. V., Pawlowski L., Shymanska M., Vasong H., Soldatov V. S.
Recultivation of exhausted soils by means of the ion exchange substrates. pp. 116119
Summary: In the conditions of vegetation hall the influence of addition of 17 vol.% of the ion exchange substrate BIONA312 (IS) on yield of Dactylis glomerata (L.) in three consecutive vegetations has been investigated. It has been demonstrated that addition of IS increases the yield in comparison to the pure sand. In the following vegetations the yield on the experimental variant has been dropping however being significantly higher then in control variant. The treatment of the experimental pots after the I vegetation by the nutrient solution has not influenced on the yield. The same procedure made after the second vegetation has raised the yield as much as twice.
TECHNICAL SCIENCES
Dobrolyubov A. I.
For superrotation theory of the Venus atmosphere. pp. 120123
Summary: The concepts of the travelling tidal gravitational and thermal waves and of the feedback mechanism were used to explain the driving mechanism generating the superrotation of the Venus' atmosphere.
Sviridenok A. I, Kovalevskaya T. I., Kravtsov A. G.
Technological electretization features of polyethylene fibers and fiberporous materials. pp. 124127
Summary: The residual electretization of polyethylene fibers and fiberporous materials (FPM) was investigated. The fiber and FPM were made by extrusion and pneumoextrusion technology. IRspectroscopy and thermostimulated depolarisation methods were used for researches. It was established, that the residual electretization of thies materials caused the charges, is localised on two type of defects: surface carbonil and carboxil groups and volume structural abnormalities. These data show that the principle of triboelectretization first revealed for friction of polymers is also applicable to the electretization at extrusion and pneumoextrusion technology.
Samoilovich Yu. A., Anisovich G. A., Timoshpolsky V. I., Koshman V. M., Trusova I. A.
For choosing models of vibration influence of electric slag remelting (ESR) on steel ingot. pp. 128131
Summary: The report considers the method of vibration influence on a large steel ingot during vacuumarc remelting. It analyses ingot structure in diversifying combinations of electric and magnetic fields switcing. Experimental research data of different frequencies impact (frequency of switching) f_{exp} on Sn + Pb alloy structure and methods of vibration mode analysis arc given in this work.
Migun N. P., Prokhorenko P. P., Chizh S. G.
On a new mechanism of defect development under capillary controlling. pp. 132135
Summary: By special experiments it is established for the first time that in the absence of direct penetrantdeveloper contact the liquid's drawing from a defect and subsequent formation of an indication takes place. A number of videoimages of such a process for various liquids drawing from model defects are obtained. The explanation of new mechanism of development process based on liquid film flow due to the gradient of disjoining pressure is proposed.
/ Publications / Scientific Journals / Back to Top of Page
Designed and maintained by Dr. Nikolai N. Kostyukovich. Last updated: May 1, 2001
Created with assistance of Dr. Ignatii I. Korsak
Copyright © 2001 The National Academy of Sciences of Belarus
Copyright © 2001 The Belaruskaya Navuka Publishing House