Doklady of the National Academy of Sciences of Belarus, 2004, Vol.48, No.4
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Doklady of the National Academy of Sciences of Belarus, 2004, Vol.48, 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
Kostyukova O. I.
Behavior of optimal control problem solutions in neighborhood of weakly degenerate point. pp. 59
Summary: For parametric linearquadratic optimal control systems with delay, properties of solutions are investigated in a neighborhood of a weakly degenerate point. Asymptotic expansion of the solutions with respect to a parameter is presented.
Radyna Y. M.
Adelic mnemofunctions and Fourier transform. pp. 1014
Summary: New algebra of mnemofunctions (nonlinear generalized functions) with convolution on global space of adeles is presented with archimedean and nonarchimedean places treated separately. Linear space of adelic SchwartzBruhat distributions is embedded into this algebra, so that all distributions (to be exact, corresponding mnemofunctions) can be multiplied. Examples of distribution embedding and multiplication are given.
Gorbuzov V. N., Korolko I. V., Tyshchenko V. Yu.
Trajectories of differential systems on Bendixon's sphere. pp. 1519
Summary: Topological and analytical features of autonomous polynomial differential systems of the second order are investigated at Bendixon's transformations. An approach to construction of indefinitely critical point on Bendixon's sphere in terms of (final) circular sequence of adjacent elliptic, hyperbolic and parabolic sectors on the basis of indefinitely critical points located on equator of Puancare's sphere is developed. All set of holomorphic (dynamic systems) on Bendixon's sphere is found, and the topological atlas of behavior of their trajectories is constructed.
Osinovskaya A. A.
Restrictions of representations of type D_{n} algebraic groups to naturally embedded A_{2} subgroups. pp. 2023
Summary: Restrictions of modular irreducible prestricted representations of algebraic groups of type D_{n} to naturally embedded subgroups of type A_{2} are studied. Let n > 3 and со be the highest weight of a representation considered. The composition factors of such restrictions are determined in cases of locally small weights со with respect to p. Here the class of locally small weights is determined in terms of their values on four simple roots linked at the Dynkin diagram of a group.
Minchenko L. I., Tarakanov A. N.
On differentiability of maximum function on Gregular multifunctions. pp. 2428
Summary: Calculation of various types of derivatives of maximum functions defined on values of multifunctions is an important problem for quasidifferential calculus, sensitivity analysis of parametric extremum problems, necessary extremum conditions theory and other parts of theory of optimization. In particular, it is interesting to choose a class of multifunctions, which have directionally differentiable maximum function.
One of the major results in this field was achieved in the works of V. F. Demyanov and A. M. Rubinov, where a class of multifunctions allowing firstorder approximations was selected. Also, other classes of socalled weakly uniformly differentiable multifunctions and strongly differentiable multifunctions are kown to have the described property.
In this pfper, a larger class of multifunctions is introduced, which has the required property and contains all of the classes mentioned above.
Skums P. V., Suzdal S. V., Tyshkevich R. I.
On polynomial solvability threshold for recognition problem of edge intersection graphs of linear 3uniform hypergraphs. pp. 2933
Vasilyeva T. I., Prokopenko A. I.
Projectors and lattices of normal subgroups of finite groups. pp. 3437
Summary: Connections between lattices of normal subgroups of finite group and its projectors are studied.
INFORMATICS
Rylov A. S.
On speaker recognition by VQspace of speech parameters. pp. 3841
Summary: A function analogy of same procedures in two well known methods of speaker recognition are shown. In the first method, HMMparameter eigenspaces are compared and in the second method, VQparameter spaces are compared. It is shown that the first method is insignificantly reliable then the second method. But the second method has many advantages. Therefore, it is concluded to use the VQparameter spaces for speaker recognition.
PHYSICS
Lukashevich M. G., Popok V. N., Odzaev V. B., Lukashevich S. M., Khaibulin R. I., Bazarov V. V.
Electrontransport properties and Anderson transition in polyimide films implanted by cobalt ions. pp. 4247
Summary: Temperature dependence of resistance is studied for polyimide (PI) samples implanted by Co^{+} ions with fluences of 2.5 x 10^{16}  1.25 x 10^{17} cm^{2} at ion current densities of 4.8 and 12 µA / cm^{2}. It is found that electron transport in the implanted samples originates from radiationinduced changes of the PI and Co nanoparticle formation and it depends dramatically on ion current density. A variable range hopping mechanism dominates for all fluences at a low ion current density of 4 µA / cm^{2} while a transition to a semimetallic type of conductance is observed with an increase in ion current density due to agglomeration of the Co nanoparticles forming a percolation way for the charge carriers. It is shown that both quantum effects of weak localisation and electronelectron interaction give a significant contribution to the transport mechanism.
CHEMISTRY
Kolnenkov V. P., Samodurov V. P., Klimza S. V.
Tritium sorption in clays at waterclay interactions. pp. 4851
Summary: It is shown that different degrees of absorption are involved in interactions of clay rock  tritiated (322 ± 3) KBk/1 hydrocarbonate  calcium water. Tritium sorption runs by isotope exchange mechanism and the partition coefficient shows less than one value in all experiments. Clays are in the following sequence: palygorskite > bentonite > kalinite by their absorption capacities. Practically, acid (HCl) and alkaline (NH_{4}OH) medium does not change this sequence. The analogous result observed in Ca, Na and NH_{4}forms of the same alumosilicates.
Ulyanova T. M., Krut'ko N. N., Titova L. V., Medichenko S. V.
Structure and properties of implant material for bone tissue regeneration. pp. 5256
Summary: The processes of implant grafting material preparation and its physicalchemical properties were investigated. A conformity of composition, crystal and porous structures of synthesized material and mineral matrix of human bone was established. Based on this investigation, a new bonereplacing material (porous calcium phosphate, shapestable ceramics with the structure of hydroxyapatite) has been developed. This ceramics is biologically compatible with soft and bone tissues, not toxic, it does not have heavy metals and poisonous impurities bad for the body. Medical tests in the clinics in the Republic of Belarus showed good results and supported a feasible use of a porous calcium phosphate material "KAFAM" for surgical grafting.
BIOLOGY
Astapovich N. I., Golovneva N. A., Shchetko V. A., Kondratieva L. V., Grel M. V.
On mechanism of antimicrobic activity of Bifidobacteria. pp. 5761
Summary: It was shown that antimicrobic activity of Bifidobacterium adolescentis MC42 and Bifidobacterium bifidum 791 againts some gramnegative and grampositive bacteria was determined by several different factors. In addition to synthesis of organic acids, growing bifidobacterium produced antagonistically active compounds of proteinpeptide nature  bacteriocinlike agents, showing activity mainly with respect to closely related species. Inhibiting agents are thermostable, glucanaseresistant, showing sensitivity to trypsin. Maximum production was observed at the end of logariphmic phase of Bifidobacteria growth.
Tsvirko L. S.
Peculiarities of rabies pathogen circulation on reserve and adjacent territories in Polesie. pp. 6266
Summary: This paper presents materials of retrospective and current analyses of the situation concerning rabies on specially guarded territories in the Gomel Region and measures for prophylaxis of the infection.
Soltanov V. V., Komarovskaya L. M.
Changes in efferent firing of the splenic nerve induced by application of lipopolysaccharide E. coli into the stomach of rats before and after vagotomy. pp. 6770
Summary: In acute experiments on rats (thiopental sodium anesthesia, 70 mg/kg, intraperitoneally), it was found that application of 10 µg lipopolysaccharide E. coli (LPS) in isotonic solution of NaCl into the stomach was accompanied by inhibition (for 1.5 h and more) of the efferent firing of the splenic nerve. The effect persisted after vagotomy even when the agent in a dose 1 µg, being ineffective before, was used. The existence of a mechanism of interoceptive influences on the immunocompetent function of the spleen is suggested.
Titovich O. I., Eroshevskaya L. A., Kvach S. V., Barai V. N., Zinchenko A. I.
Biotechnological approach to preparation of doublestranded polynucleotide complexes containing modified nitrogen bases. pp. 7174
Summary: A new approach to preparation of doublestranded polynucleotide complexes containing modified nitrogen bases is suggested. It consists in a consecutive transformation of modified bases into homoribopolynucleotides that are able to form doublestranded helices in water solutions, using cells and enzymes of Escherichia coli, Erwinia herbicola, Saccharomyces cerevisiae and Enterobacter amnigenus as biocatalysts.
Chernyakova Yu. M., Kadolich Zh. V., Pinchuk L. S., Nikolaev V. L, Tsvetkova E. A., Beloenko E. D.
Tribiological properties synovia as criterion of functional deficiency of joint lubrication. pp. 7579
Summary: The results of tribological investigations aimed at estimation of functional disorders of the joint synovial fluid are described. The friction coefficients of movable metalpolymer joints simulating endoprosthetic friction joints have been determined at lubrication by human synovia with different pathological degrees. The dynamics of the friction coefficient variation have been studied at the lubricating layer exposure to the electromagnetic field simulating the biofield of a natural joint. It was the first time when the spectra of thermostimulated currents of the healthy and pathologic synovia were obtained and interpreted.
Liakhnovich G. V., Kabachevskaya E. M., Volotovsky I. D.
Role of phospholipases С and D in phytochrome signal transduction in plant cell. pp. 8082
Summary: The phospholipase C (PLC) inhibitors lithium ions (Li^{+}) and neomycin were shown to decrease the effect of red light illumination on the oat phospholipase D (PLD) activity. Using the experimental results and literature data the regulation of PLD activity by light was suggested to occur according to the following scheme: light ® tphytochrome ® PLC ® ¯PIP_{2} ® ¯PLD.
EARTH SCIENCES
Karataev G. I., Belov Yu. V.
Gravity monitoring in Belarus: new data and interpretation. pp. 8386
Summary: Gravity monitoring has been conducted for many years on the territory of Belarus. Abnormal changes of the field in time are revealed. Interpretation of these anomalies is given: they are conditioned with deep density heterogeneities of the Earth's crust corresponding to layers of high electric conductivity.
Rylova T. B., Savchenko I. E.
Reconstruction of paleotemperatures of the Belaya Vezha and Mogilev interglacial periods in Belarus. pp. 8791
Summary: Data of the palynological analysis served as the base for the reconstruction of paleotemperature indexes for each of 8 regional pollen zones revealed in the sediments of the Byelovezhian Interglacial of the Belarus Pleistocene. Proposed paleotemperatures for the Mogilevian Interglacial are reconstructed only for the time of climatic optimum. Reconstructions were carried out with the application of the method of plant "climatic areas" combination plants  components of the studied floras.
Tsiumentsav V. L.
Submeridian lithologic zonality of the Sargaevo and Semiluki deposits in the Savichi and adjacent areas subject to directions of oil exploration. pp. 9294
Summary: Submeridian lithologic zonality controlled by preplatform tectonics has been revealed in the Sargaevo and Semiluki deposits in the Savichi and other areas. We suggest conducting a purposeful research on nature and degree of influence of preplatform faults on lithology and dislocation of subsalt region of sedimentary cover in Pripyat Trough on the whole.
Ovsiannikova S. V., Smith J. T., Kudelsky A. V., Madruga M. J., Pashkevich V. I., Yankov A. I.
Behaviour of radioactive cesium in bottom sediments of stagnant lake. pp. 95101
Summary: Behaviour of ^{137}Cs in bottom sediments of undrained lake located within Belarusian Chernobyl zone has been studied. The reserves of radionuclide exchangeable form, the cationic exchange capacity of selective ^{137}Cs sites ([FES], [HAS]) in the undrained lake, the rate parameters of ^{137}Cs vertical migration and the radionuclide distribution coefficients between the solid phase and the pore water of the bottom sediments have been established. The obtained data on the coefficients of selectivity (K_{c}NH_{4}/K)) show that ammonium influence on mobility of ^{137}Cs in the studied lake is higher than that of potassium, especially in winter period.
TECHNICAL SCIENCES
Mikulik N. A., Reyzina G. N.
Development of factor models and applications for solution of problems of vibration loading of vehicle cushioning systems. pp. 102106
Summary: Idea and the concept of analysis of vibration loading of cushioning systems are stated on the basis of mathematical tool and oscillations of complex dynamic systems. Application modules for vibration loading analyses are developed.
Gordienko A. I., Kozhuro L. M., Kheifetz M. L., Koukhta S. V.
Use of analogy parameters for development of combined physicalchemical material processing methods. pp. 107110
Summary: Criteria describing domination of controllable parameters of technological system are presented. Development of plasmamechanical, electromagnetic and electronbeam superficial methods of processing of constructional materials is considered.
Vereschyagin M. N., Goransky G. G., Tseluev M. Yu., Kiriluk S. I., Tselueva S. N.
Influence of production conditions on physical and mechanical properties and structure of amorphous FeNiCoCrMoBSi alloy. pp. 111114
Summary: We show the results of study of structure and physical and mechanical properties of amorphous FeNiCoCrMoBSi alloy after rapid quenching and its structural peculiarities during the annealing at crystallization temperature. Direct connections between physical and mechanical properties and structure of amorphous alloy and its production conditions are confirmed.
SOCIAL SCIENCES AND HUMANITIES
Sadovskaya T. V.
National information goods and services market grouping. pp. 115118
Summary: Current state and problems of functioning of the market of information products and services in the Republic of Belarus are analyzed. Main trends and scientific recommendation to form and regulate the development of the national market are offered.
Burakov V. S., DovnarZapolsky A. S., Kiris V. V., Kolymago N. V., Naumenkov P. A., Plavinsky N. A., Raikov S. N., Skripchenko T. S.
Laser spectral microanalysis of glass bracelets of XIXIII centuries within the Minsk Fortress. pp. 119124
Summary: Spectrometer for laser microanalysis of solidstate samples, in particular archeological findings from museum funds is developed and approved. The quantitative analysis of chemical composition of fragments of the glass bracelets found at excavation within the Minsk Fortress and dated XIXIII centuries is carried out. Specific features of element composition of glass matrixes and impurities of the researched samples characteristic only for the given series of samples are revealed.
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Created with assistance of Dr. Ignatii I. Korsak
Copyright © 2004 The National Academy of Sciences of Belarus
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