Doklady of the National Academy of Sciences of Belarus, 2001, Vol.45, No.4
/ Publications / Scientific Journals
Doklady of the National Academy of Sciences of Belarus, 2001, Vol.45, No.4

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
Tikhonov S. V., Yanchevskii V. I.
Brauer groups of semisplit elliptic curves defined over the field of rational numbers. pp. 58
Summary: The nontriviality criterion of the generators of 2torsion part of the Brauer group of a semisplit elliptic curve over the field of rational numbers is obtained.
Demidenko V. M.
The conditions for high solvability of optimization problems on substitutions and their application. pp. 912
Summary: For functionals of general kind defined on subsets of the symmetrical group, conditions that guarantee reaching the extreme values on preassigned permutations are established.
Demenchuk A. K.
Conditions of existence of almost periodic partially irregular solutions of differential systems. pp. 1314
Summary: We give necessary and sufficient conditions of existence of almost periodic partially irregular solutions for almost periodic differential systems.
Yanovich L. A., Doroshko V. V.
Special cases of HermiteBirkhofftype polynomial operator interpolation. pp. 1520
Summary: HermiteBirkhoff  type interpolation formulae are constructed for the operators defined on functional spaces when the coincidence of differentials of lower orders at interpolation nodes is not required.
Beresnevich V. V.
The distribution of rational points near the parabola. pp. 2123
Trelina L. A.
The height of Sintegral points on hyperelliptic curves and the relative rank of Jacobians. pp. 2426
Summary: Given a hyperelliptic curve C over Q, we explicitly construct elementary 2extensions of Q for which the relative rank of the Jacobian of C grows unboundedly.
Suprunenko I. D.
Identification of classical algebraic groups with the aid of matrices with big Jordan blocks. pp. 2730
Summary: A characterization of the classical algebraic groups as irreducible simple Zariski closed subgroups of the general linear group containing matrices with big Jordan blocks with respect to the degree of the group is obtained. In particular > 1 containing a it is proved that if K is an algebraically closed field, G Ì GL_{n}(K) is an irreducible simple Zariski closed subgroup of rank matrix with a Jordan block of size k, n > 248 and n < (k^{2} + 4k  13)/8, then G is one of the classical groups SL_{n}(K), Sp_{n}(K), or SO_{n}(K). This characterization cannot be extended to semisimple subgroups.
Osinovskaya A. A.
Restrictions of representations of classical algebraic groups to root A_{1}subgroups. pp. 3133
Summary: Restrictions of irreducible representations of classical algebraic groups to root A_{1}subgroups are studied. The composition factors of these restrictions for groups of types A, B, and D are found. The question is solved also for short root A_{1}subgroups in groups of type C.
Zabreiko P. P., Kovalenok A. P.
About the existence of nontrivial solutions for a class of elliptic problems. pp. 3437
Summary: The question about the existence of nontrivial solutions for a class of elliptic Dirichlet problems is considered. First we give conditions under which the index at infinity of the corresponding vector field equals I, so the task is to compare the index of a trivial solution with 1. The latter reduces the problem to either proving the oddness of a number of negative eigenvalues of the linearization at zero, when 0 is not an eigenvalue, or finding even higher order terms at zero which are nondegenerate on the kernel of the linearization.
Gabasov R., Dmitruk N. M., Kirillova F. M.
A piecewise linear optimal observation problem. pp. 3841
Summary: An optimal observation problem for piecewise linear systems is under consideration. Algorithms for constructing program and positional solutions are given. They are based on a specific linearization of the piecewise linear problem with subseguent parametric optimization.
INFORMATICS
Likhoded N. A., Sobolevskii P. I., Tiunchik A. A.
Parallelizing of algorithms on the basis of splitting of macrooperations. pp. 4245
Summary: A new model for the representation of algorithms to solve a number of problems of parallel computations is developed. The use of the model for the construction of optimal scheduling functions and independent partitions is considered.
PHYSICS
Knyazev M. A.
Kink in a nonlinear active medium. pp. 4648
Summary: Onekink and oneantikink solutions for a nonlinear equation of motion of the scalar field theory with fourthorder potential in the absence of a driven force and accounting the linear and nonlinear effects of damping are considered.
Khomyakov P. A.
The operator method for solving the Schrodinger equation with a rational potential. pp. 4952
Summary: Exact numerical solutions of the Schrodinger equation with a rational potential are obtained by using the operator method. The effectiveness of nonunitary canonical transformations are shown. The energy of the ground and first excited states are calculated in the nonperturbation range of values of the parameters of the potential.
Sosinovich V. A., Chornyi A. D.
Numerical solution of the equation for the onepoint probability density function of turbulent passive scalar field fluctuations. pp. 5357
Summary: The problem of turbulent mixing, beginning from a state of full scalar unmixing, is considered. It is realized by meansof numerical integration of the equation for onepoint probability density function f_{t}(Ã) of passive scalar fluctuations at a given conditional scalar dissipation rate c_{t}(Ã) with the aid of algorithms of retrospective problems solution. The evolution f_{t}(Ã) obtained is compatible with the results of numerous experimental and theoretical papers.
CHEMISTRY
Shevchenko E. V., Kulak A. I.
Carbon fibersbased polyanilinemodified electrodes for measuring pH. pp. 5860
Summary: Polyaniline coatings doped with 12tungstenphosphoric acid have been suggested for application to increase speed and linearity of the analytical response of carbon fiber pHsensitive electrodes. It is shown that the annealing of doped electrodes at 200 °C made it possible to increase their stability and to provide the possibility of measurements in the range of pH 1.79.0 with an error ± 1.5 ¸ 4.3 mV for 46.9 mV slope of the dE/dpH curve.
Potkin V. I., Zapol'skii V. A., Nechai N. I., Kaberdin R. V.
Condensation of 2nitrosubstituted perhalogen1,3butadienes with ethyl vinyl ether. pp. 6163
Summary: The condensation reaction of 2nitropentachloro and 4bromo2nitrotetrachloro1,3butadienes with ethyl vinyl ether proceeds by the substitution of the terminal chlorine atom in the nitrochloro vinyl group of initial nitro dienes and leads to the corresponding 6etoxy3nitrotetrahalogeno1,3,5hexatrienes. The cyclo addition products have not be en found in the reaction mixture.
Babitskaya S. V., Kiselev P. A., Kisel' M. A.
A new approach to creation of lipide probes with intramolecularly quenched fluorescence. pp. 6467
Summary: New fluorescent analogues of phosphatidylcholine with intramolecularly quenched fluorescence containing a residue of 4(1pyrenyl)butyric acid as a fluorophore and a residue of brominelabeled aliphatic acids as a quencher were synthesized. The spectral properties of substances obtained were described. A possibility of using these probes in investigations of biological and model membranes was demonstrated.
BIOLOGY
Laznev K. V., Vorobei A. V.
Lightdependent binding of Merocyanine540 (MC540) to erythrocytes: the role of the influx of the dye through the membrane. pp. 6871
Summary: The effect of a light dose on the time course of Merocyanine540 (MC540) fluorescent dye binding to human erythrocytes and erythrocyte ghosts (open and sealed) was studied. It was found that the lightinduced changes in the amount of MC540 bound to erythrocyte were concomitant with the changes in the bound dye fluorescense intensity, and the increase in MC540 influx into erythrocyte was the main reason for these changes. Our results support the evidence that both depolarization of erythrocyte membrane and direct increase in its permeability to amphiphylic molecules are the factors determining the lightinduced influx of MC540 into erythrocytes.
Yurenkova S. I., Khotyleva L. V.
Evaluation of the fiber flax cultivar collection from isoenzyme spectra. pp. 7275
Summary: The analysis of the fiber flax cultivar collection for isoenzyme spectra of 6phosphoglutamate dehydrogenase, glutamate dehydrogenase, and acid phosphatase has revealed genetic diversity of the forms studied. The obtained ratio of spectrum types in the analyzed enzymes maintains in the best way, in our opinion, homeostasis of fiber flax cultivars under artificial and natural selection.
Rudenok V. V.
Agerelated dynamics of neurofilament expression in paravertebral ganglia of a human. pp. 7678
Summary: A developmental pattern of neurofilament (NF)immunoreactivity (IR) was investigated by the method of immunohistochemistry in the paravertebral ganglia of human fetuses and neonates. The results demonstrate agerelated increase of NFIR in sympathetic ganglia during maturation and growth. The NF can serve as a marker of differentiating neurons, as also as an index of the maturity of neonates.
Domash V. I., Kaminskaya L. N., Pelageichik T. Ya., Volokhovich N. F., Khodortsova L. F., Koren' L. V., Matveenko S. N.
Proteinase and inhibitory activity of the grain proteins of spring and winter forms of triticale differing in tolerance to soil acidity. pp. 7982
Summary: The protein content, activity of neutral, acid, alkaline proteinases and inhibiting proteins were studied in grain of spring  and winter forms of triticale and genomesubstituted wheat lines, tolerant to soil acidity, produced in vitro culture. The role of proteinase  inhibitory system in resistance manifestation was revealed.
EARTH SCIENCES
Starchik T. A.
The special features of the development of the Pripyat' paleorift basin boundaries. pp. 8386
Summary: Some differences in the formation of the regional closed structure of the Pripyat Trough in the cover and over the basement surface have been described. They are due to two major reasons: unconformable development of the Pripyat Trough relative to structures of the earlier stages and a difference in the evolution of the paleorift boundary faults.
Mamchik S. O.
Jurassic and Lower Cretaceous deposit tectonics in the NorthPripyat shoulder area. pp. 8790
Summary: The special features of the Jurassic and Lower Cretaceous deposit structure in the NorthPripyat shoulder area: distribution boundaries, thickness variation, facies differences have been discussed. The tectonic movement inversion in postOxfordian and Aptian  Early Albian time have been traced on the basis of drilling evidences.
Avtushko M. I., Kovderko V. E.
Concerning the sources of radon contained in the interstitial air of the ground. pp. 9193
Summary: The probable sources of superfluous ground radon being by it self a difference between its actual contents in a soil and the contents, counted on ^{238}U concentration are reviewed. The data on the content and distribution of radon and uranium containing substance in the Earth atmosphere that make it possible to prove the assumption of atmospheric sources of radon into the formation of its redundant amount in the ground near the surface are being discussed. The outcomes of the experiment, that verifies this supposition are given.
Levykh N. N., Bulkin Yu. S., Abramenko V. I.
Geochemical special features of Prelater Jurassic weathering cursts development on the granites of the West of Belarus. pp. 9496
Summary: The pattern of migration the of chemical and trace elements in the early Prelater Jurassic weathering crusts developed on the garnets of Belarus both at the stage of weathering and in the postgenetic period is revealed. The attendant processes had the greatest influence on the behavior of potassium, magnium, silicom iron, and some trace elements (Ni, Cr, Hf, Nb, Y, Yb, Ba, Sr, Pb and Be).
Zinovenko G. V., Voskoboinikova T. V.
Overbaltic Cambrian deposits of the Bug elevation of the PodlasieBrest depression. pp. 97100
Summary: The paper contains the results of litological, paleontological and geophysical investigations of the Cambrian sequence of the Bug elevation of the PodlasieBrest depression.
TECHNICAL SCIENCES
Samoilovich Yu. A., Timoshpol'skii V. I., Anisovich G. A., Trusova I. A.
Toward the selection of the regimes of vibrational effect on a steel ingot of electroslag refining (ERS). pp. 101105
Summary: Problem of the influence of vibration on an industrial ingot produced by ESR is considered. Results of experiments based on the possibility of control ling the process of the initial solidification of an ESR ingot are given. A technological possibility of executing an industrial melting in resonance frequency oscillation of a liquid steel bath is proved. A possibility of resonance oscillation use in a laboratory and industrial environment is proved theoretically.
Yashcheritsyn P. I., Averchenkov V. I., Kheifets M. L., Kukhta S. V.
Analysis of the properties of ratios of technological solutions in designing combined methods of the treatment of materials. pp. 106109
Summary: The dominant characteristics of relations of technological solutions are suggested for using in automated design of the methods materials treatment. Criteria of transfer, which describe the domination of the controled parameters of the oftechnological system are considered.
Chichko A. N., Likhouzov S. G.
Cellautomatic modeling of the process of melt flow in a mould. pp. 110114
Summary: Threedimensional mathematical model for estimating the defects appearing during the flow of melted metal down the walls in gating systems on the basis of the NavierStokes and FourierKirchoff is suggested equations. The results of the simulation of velocities and temperatures of the spatial elements of gatingcasting system used in production of radiators are presented.
Sviridenok A. I., Kovalevskaya T. I., Liopo V. A., Voina V. V., Kravtsov A. G., Sechko A. E.
Structurecharge correlations in polyethylene fibers. pp. 115118
Summary: The phisicochemical nature of volumetric defects which are responsible for the appearance of a residual charge in polyethylene fibers is investigated. The IR spectroscopy, Xray structural analysis, thermally stimulated depolarization methods and mechanical tests were used. It is established that the residual charge is due to the defects caused by internal friction that accompanies the separation displacement of lamellas and inside and interlamellar sliding.
Mariev P. L., Moiseenko V. I., Papkovskii P. I.,Kharitonchik D. I.
Bases of homogeneity and increase of the carrying ability of the nitride hardened surfaces of largesize machine parts. pp. 119122
Summary: The possibilities of increasing the load carrying ability of nitride hardened surfaces of machine steel parts by uniformily increasing a superficial hardened layer and increasing the hardness of the core details material are considered. The laws of change of hardness and mechanical uniformity of a layer from positions of constantly existing boundary limited copper concentration in a material which is not mutually soluble with nitrogen are investigated. The rational ways of protection of nitride hardened surfaces from oxidation in the ally thermstrengthened core of details are shown.
/ Publications / Scientific Journals / Back to Top of Page
Designed and maintained by Dr. Nikolai N. Kostyukovich. Last updated: September 27, 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