Doklady of the National Academy of Sciences of Belarus, 2008, Vol.52, No.5
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Doklady of the National Academy of Sciences of Belarus, 2008, Vol.52, No.5

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
Matysik O. V., Savchuk V. F.
2step iteration method for solution of the operator equations in the Hilbert space. pp. 510
Email: matysik(at)brsu.brest.by
Summary: An implicit 2step iteration method for solution of the operator equations in the Hilbert space is proposed. The convergence of the method is proved in the case of an apriori choice of a number of iterations in usual and energy norm of the Hilbert space, the estimaties of an error are obtained. For the iteration method the opportunity of the application of a rule residual stop is studied.
Rovba Y. A., Smatrytski K. A.
Rational interpolation in the zeros of ChebyshevMarkov sinefractures. pp. 1115
Email:
k.smotritski(at)grsu.by
Summary: The rational interpolating process with nodes in the zeros of ChebyshevMarkov sinefractures is considered. The interpolating Lagrange function is obtained in this case. The norm of the Lagrange function L_{n}(x;f) in the space L_{2}(r) of the square integrated functions with r(х) = (1  x^{2})^{1/2} weight on the segment [1;1] is calculated for the fixed poles. The norm of L_{n} as an operator from C[1;1] to L_{2}(r is estimated. On the basis of this estimate the theorem on the convergence of the rational interpolating process with nodes in the zeros of ChebyshevMarkov sinefractures in the L_{2}(r space with fixed poles is proved. Using the Lagrange function a new quadrature formula, which generalizes the known quadrature formula in the polynomial case, is obtained. It is shown that this quadrature formula is a quadrature formula of Gaussian type and its convergence is estimated.
Yanchevskii V. L.
Another proof of one computation formula for groups of special projective conorms. pp. 1618
Email:
yanch(at)im.basnet.by
Summary: A direct proof (in terms of central simple algebras) of one computation formula for groups of special projective conorms playing an important role in computation of reduced Whitehead groups of central simple algebras is given.
Samoilovich Yu. A., Timoshpolski V. I., Trusova I. A.
Correlation between the impurity segregation and the nonmetallic inclusion origin in a hardening steel ingot. pp. 1923
Email: bspametall(at)mail.ru
Summary: A correlation between the process of sulphur dendritic segregation in the twophase zone of hardening ingots and the nonmetallic inclusion origin (sulphides) is studied. The findings of investigations might be used for assessment of the detrimental impurities saturated content, providing a required quality of ingots.
INFORMATICS
Gordon V. S., Strusevich V. A.
Schedules with duedate assignment and positiondependent processing times. pp. 2430
Email: gordon(at)newman.basnet.by
Summary: Single machine scheduling problems are considered, in which the processing times of jobs depend on positions of the jobs in a schedule and the duedates are assigned either according to the CON rule (a duedate common to all jobs is chosen) or according to the SLK rule (the duedates are computed by increasing the actual processing times of each job by a slack, common to all jobs). Polynomialtime dynamic programming algorithms are proposed for the problems with the objective functions that include the cost of assigning the duedates, the total cost of discarded jobs (which are not scheduled) and, possibly, the total earliness of the scheduled jobs.
Nesenchuk A. A.
Locating the roots of the dynamic system within the arbitrarily shaped domains. pp. 3135
Email:
anes(at)newman.basnet.by
Summary: The method for locating the roots of the dynamic system with a parametric uncertainty within a given domain bounded by the arbitrary algebraic curve, when the coefficients of the characteristic equation are linearly dependent upon the uncertain parameter, is considered. The peculiarity of the method consists in the fact that the given domain boundary is not set by the curve of fixed geometric shape, and the domain can be bounded by the arbitrarily shaped algebraic curve. For solving the task, the root locus fields of the circular image are applied.
PHYSICS
Bushinsky M. V., Chobot A. N., Mantytskaya O. S.
Crystal structure, magnetic and dielectric properties of the Bi_{1x}Ca_{x}Fe_{1x}Ti_{x}O_{3} system. pp. 3639
Email:
bushinsky(at)ifttp.basnet.by
Summary: The Bi_{1x}Ca_{x}Fe_{1x}Ti_{x}O_{3} solid solution exhibits a transition from the rhombohedral (R3c) to orthorhombic (Pbnm) symmetry at x ~ 0.2 which causes the spontaneous magnetization to appear and the dielectric susceptibility to increase. The crystal and magnetic structures of orthorhombic phase are determined.
Korshunov F. P., Bogatyrev Yu. V., Lastovskii S. B., Murin L. I., Markevich V. P., Govor G. A.
Radiationinduced defects in silicon n^{+}pstructures irradiated with fast electrons at elevated temperatures. pp. 4043
Email: lastov(at)ifttp.basnet.by
Summary: Parameters of deep levels associated with defects, which were introduced into the base region of n^{+}pstructures by irradiation with 6 MeV electrons in the temperature range 340¸770 K have been determined with the use of deep level transient spectroscopy (DLTS) method. It is shown that the introduction rate of interstitial related defects increases about twice upon raising the irradiation temperature from 340 to 670 K. The effect observed is associated with the suppression of the annihilation rate of Frenkel pairs at higher temperatures. It is found that the total introduction rate of electrically active radiationinduced defects decreases sharply when the samples are irradiated at temperatures higher than 670 K. Electron irradiation at T_{in} > 670 K also results in the introduction of thermally stable defects with deep levels at E_{V}+0.16, E_{V}+0.21, E_{V}+0.27 and E_{V}+0.31 eV into the samples.
Komarov F. F., Leontyev A. V.
Optical properties of SOG films irradiated with light ions. pp. 4448
Email: komarovF(at)bsu.by, Leontyev(at)bsu.by
Summary: The results of investigation of optical constant changes for SOGfilms irradiated with light ions are presented. It was shown that ion implantation is an effective method for modification of optical properties of SOGfilms.
Leonov A. V., Feranchuk I. D.
Analytical investigation of the "collapserevival" effect in the JaynesCummings model. pp. 4954
Email: fer(at)open.by
Summary: Specific features of the "collapserevival" effect for the population inversion of the twolevel system in the quantum field are described for the first time by means of the analytical expressions with a high accuracy. The results are obtained both in the resonant case and with detuning. The dependence of the characteristics of this effect on the physical parameters of the system is defined.
CHEMISTRY
Boitsova T. A., Afanasiev N. I., Moshkova T. B., Makarevich N. A.
Bioconversion of technical lignosulfonates. pp. 5559
Email: lignin(at)arh.ru, nikma(at)tut.by
Summary: The investigations determined an opportunity of lignosulphonate (LS) decomposition by basidiomycete Corijlus hircututus. It was shown that LS degraded mostly at the fist stage of the process (during 510 days) under optimum conditions. The increase of a mycelium surface on a porous substratum raises a degree of full decomposition to 2530%. The increase of LS concentration in a solution up to 1020% suppresses the development of full micromycete. Significant oxidation of LS components occurred during bioconversion. The maintenance of oxygencontaining functional groups increased. The process of LS bioconversion was accompanied by an increase of the molecular weight.
Potkin V. I., Dikusar E. A., Petkevich S. K.
Synthesis of 5functionally substituted 3arylisoxazoles on the base of aryltrichloroallyl ketones. pp. 6063
Email: potkin(at)ifoch.basnet.by
Summary: By the oxime group transformation of 3aryl5hydroxyiminomethylisoxazoles previously obtained by the aryltrichloroallyl ketones condensation with hydroxylamine the esters, aldehydes and azometines of isoxazole series were synthesized.
Shcherbina L. A., Geller B. E., Kharytanovich A. G., Khaleiko V. S.
Initiating the freeradical processes of homophase synthesis of fiberforming thermopolymers of acrylonitrile by the coordinated radical mechanism. pp. 6467
Email: leoShch(at)tut.by
Summary: The kineties of the homophase synthesis in dimethylformamide of fiberforming thercopolymers based on acrylonitrile has been studied under the conditions simulating a continuous operation of a commercial ideal mixing reactor. For the first time a possibility of speeding up a freeradical homophase synthesis of fiberforming thercopolymers in aprotic solvents by doping small additives of "dead" polar polymers, similar to synthesized ones, into the original reaction medium was demonstrated. The hypothesis of forming the "macromoleculeprime free radical" complexes stipulating the increase of the initiator efficiency and the observable increasing effect of a gross rate of the homophase synthesis of fiberforming thercopolymers has been made using the results of spectrophotometric investigations.
Lakhvich F. A., Ogeiko N. H., Petrusevich I. I.
Synthesis of bis(2acylcyclohexane1,3diones)  new group of bpolycarbonyl compounds. pp. 6871
Email: ogeiko(at)rambler.ru
Summary: The synthesis of bis(4,4dimethyl2,6dioxocyclohexyl)alkanediones has been realized. The scheme includes the preparation of monoenoles of esters from corresponding diketone and carboxylic acid chlorides, followed by their OC isomerization. Structures of the compounds obtained were verified by the spectroscopic data (IR, ^{1}H spectra) and the elemental analysis.
BIOLOGY
Urbanovich O. Yu., Kozlovskaia Z. A., Kartel N. A.
Certification of appletree genotypes by means of SSRmarkers. pp. 7278
Email: o.urbanovich(at)igc.basnet.by
Summary: The method of the SSRanalysis was used for certification of appletree genotypes at the molecular level. Three pairs of markers covering various genome regions CH01c06 and CH02c02b, CH02b12 and CH04h02, CH03d12 and SdSSR were selected and used in multiplex PCR, by means of which 109 appletree cultivars and species were identified and their phylogenetic similarity was established.
Valentovich L. N., Gubich O. I., Nikolauichik Y. A.
Role of the DspF protein of Erwina carotovora subsp. atroseptica in the functioning of the type III secretion system. pp. 7984
Email: leony(at)bio.bsu.by
Summary: The DspF protein of phytopathogenic bacterium Erwinia carotovora subsp. atroseptica (Eca) is thought to be a specific secretory chaperone for the DspE effector protein. We have found that introduction of additional copies of the dspF gene coding for this chaperone into Eca cells blocks their ability to induce a hypersensitive response of nonhost plants. This phenotype has appeared to be due to a severe defect in translocation of effector proteins into plant cells. Translocation into plant cells of the DspECya fusion protein has appeared to be completely blocked, while translocation of AvrPtoCya protein  severely reduced from Eca cells carrying dspF cloned in a relatively low copy number plasmid. These data allow us to suggest that additional molecules of DspF either block the effector translocation by specifically binding them (as in the case of DspECya) or by interfering with the work of the type III secretion system (as in the case of AvrPtoCya).
Shakhbazau A. V., Goncharova N. V., Sevyaryn I. N., Kosmacheva S. M., Kartel N. A., Potapnev M. P.
Transfection of human bone marrow mesenchymal stem cells: cationic polymers vs. lipofection. pp. 8588
Email: a.shakhbazau(at)igc.basnet.by
Summary: We report a comparative study of hMSC transfection methods based on various chemical formulations which include cationic polymers and cationic lipids. The transfection efficiency, the toxicity to cells, a proliferation rate, and other parameters are described. Optimization of the hMSC transfection methods is an important stage in the development of the hMSCbased gene and cell therapies.
MEDICINE
Zharko V. I., Serdiuchenko N. S., Bevzeluk A. A.
Medical econometry and innovational development of the health care system. pp. 8995
Email: lpulgkb(at)mail.belpak.by
Summary: Modern medical technologies make it possible to improve treatment results in the saving of the same level of hospital beds, patients ambulatory visits and medical staff number. In this connection it is necessary to underline that the problems of the health care system and health of citizens of the Republic of Belarus are linked to a certain degree with the deficit of medicoeconomical investigations.
EARTH SCIENCES
Garetsky R. G., Konischev V. S., Tolstosheev V. I.
Structural position of dawsonite occurrences in carboniferous deposits of the Pripyat trough. pp. 96101
Email: vkon(at)igig.org.by
Summary: The dawsonite occurrences in carboniferous deposits of the Pripyat depression were formed in the secondary compensation synclines during radaev and bobricov times as a result of reactions of soda solutions and alumosilicates. Soda solutions were formed as a result of caprock dissolution in the crests of salt domes.
Astapenko V. N.
OrshaIlmen magnitovariation anomaly. pp. 102106
Email: astapenko(at)igig.org.by
Summary: New data obtained from magnitotelluric investigations were used to justify the position of the magnitovariation anomaly in the northeast part of Belarus. The Orsha anomaly is joined with the Ilmen magnitovariation anomaly and is an important link of transeuropean anomalies.
TECHNICAL SCIENCES
Shapovalov V. M., Shumilin V. A., Pleskachevsky Yu. M.
Phase state of a lignohydrocarbon matrix and its change during alkane thermal treatment of wood. pp. 107110
Email: v.shapovalov(at)tut.by, shumilin(at)gsu.unibel.by, pleskym(at)mail.ru
Summary: A submicrostructure of birch has been studied using a spin probe of paramagnetic resonance spectroscopy. It is supposed that a lignohydrocarbon matrix of the natural wood is found in a thermodynamic nonequilibrium state due to the incomplete phase separation of its components. The wood treated by an aqueousalkane solution and exposed to a heat field is found to realize an additional phase separation process of the components of the lingohydrocarbon matrix. This process evidently follows the mechanism of spinodal decomposition.
SOCIAL SCIENCES AND HUMANITIES
Rahimau A N.
Ethnic groups of the Caucasus peoples in the Republic of Belarus: estimation, factors of migration and adaptation according to the ethnological study. pp. 111117
Email: aidaragimova(at)rambler.ru
Summary: The migration process during the last two decades of the 20th century is shown on the basis of official statistics, documents of the Archive of the Committee on Religions and Nations at the Cabinet of Ministers of the Republic of Belarus, mass media information. During the last decade the quantity of people from the Caucasus coming to our Republic is reducing. The state, in turn, must regulate by the law the entry and living of refugees and people without citizenship in the territory of Belarus.
AGRARIAN SCIENCES
Golushko V. M., Furs N. L.
Use of carnitine with a high level supplement of fat for rearing and fatting pigs. pp. 118123
Email: belniig(at)tut.by
Summary: The influence of carnitine and 3% fat in diets of growing pigs on their growth and production was investigated. Supplement of carnitine in a dose of 50 g/t mixed meal in diets of growing pigs provides an increase in an average daily growth by 5.1% (P < 0.001), a decrease in feed expenses per unit production by 2.5% compared to the animals of control group, which raises their slaughter outcome by 2.1%), meat content in carcass by 2.3%, decreases the fat content in carcass by 2.4%, increases the loin eye area by 8.8%.
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