Doklady of the National Academy of Sciences of Belarus, 2002, Vol.46, No.1
/ Publications / Scientific Journals
Doklady of the National Academy of Sciences of Belarus, 2002, Vol.46, 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
Rabtsevich V. A.
On strongly increasing solutions of EmdenFawler equations with advanced argument. pp. 57
Summary: For generalised Emden  Fowler differential equation, necessary conditions to have nonoscillatory strongly increasing solutions are established. Upper asymptotic estimates of the solutions are obtained.
Zabreiko P. P., Lysenko Yu. V.
Exact formulas of highorder derivatives of implicit functions. pp. 812
Summary: A paper presents exact formulas of higherorder derivatives for implicitly defined maps in Banach spaces. The basic method is based on the passage from the problem of calculating higher derivatives for implicitly defined maps to special problems concerning transformations of trees.
Melnikov O. V., Shishkevich A. A.
Propgroupswithdimension2 Poincare virtual duality. pp. 1315
Summary: The main result of a paper gives a presentation by generators and relators of planar propgroups. A propgroup G is planar, by definition, if G is finitely presented aspherical, and cohomology groups H^{q}(G,F_{p}[[G]]) = {0} for q » 2 and H^{2}(G,F_{p}[[G]]) @ Z / pZ.
Jovanovich B. S., Matus P. P.
Strong stability of secondorder differential equations with unbounded operator coefficients. pp. 1619
Summary: There are obtained a priori estimates for solution of an abstract Cauchy problem for a secondorder hyperbolic equation. These estimates imply uniform dependence of the solution on perturbations of initial conditions, righthand member, and unbounded operator coefficients (strong stability).
Likhoded N. A.
On construction of general parallelizing functions. pp. 2023
Summary: The sufficient constraints for the construction of scheduling functions (i. e. the functions for the partition of the algorithms into parts which can be implemented in a parallel way) are obtained. The constructive method for the obtaining scheduling functions is presented.
Filiptsov A. V.
On binormal systems of solutions of linear differential systems with exponentially decreasing perturbations. pp. 2427
Summary: For linear differential systems. Grobman perturbations do not change the number of solutions in binormal systems of solutions with the given Lyapunov characteristic exponent and the characteristic exponent of the corresponding solution of the mutual solutions system of the conjugate system.
Lebedev A. V., Odzievich A.
C*algebras associated with endomorphisms generated by partial isometry. pp. 2831
Summary: The paper presents a description of the structure of the C*algebra generated by a commutative algebra A and a partial isometry U inducing an endomorphism of A by means of the mapping U (•)U* : A ® A.
Tretiakova N. N.
Limit relations between some special functions. pp. 3236
Summary: The special functions and the diffequations connected with representations of SO(n) and ISO(n  1) groups are investigated. The limit relations between common type's matrix elements for representations of considerated groups are obtained. As a consequence of it, we have limit relation between some special functions, between some classical diffequations.
Yemelichev V. A., Krichko V. N., Nikulin Yu. V.
Formula for quasistability radius of vector minimax Boolean programming problem. pp. 3740
Summary: Formula for the quasistability radius of vector minimax Boolean programming problem is obtained.
Gaishun I. V.
Periodic solution stabilization for discrete system over ring. pp. 4143
Summary: The criterion of periodic solution stabilization for linear discrete system over ring is obtained.
Radyno Ya. V., Ringel D. E.
On mnemonification functor. pp. 4447
Summary: To study the rings of mnemonumbers, we introduce the mnemofication functor from the category of normed spaces over nontrivially normed field into the category of ultrametric Banach modules over ultrametric commutative ring of mnemonumbers that is mnernofication of basic field. We found a complete nontrivially normed subfield in the ring of mnemonumbers isomorphic to the field of formal power series with coefficient in the basic field; so, the ring of mnemonumbers is Banach algebra over it and corresponding modules are Banach spaces.
Miklashevich I. A.
Fractal dimensionality of deterioration based on medium properties. pp. 4850
Summary: Method of determination of fractal dimension of fracture surface is proposed. The method is based on the representation of crack growth along the geodetic line in the Finsler space.
INFORMATICS
Lipnitskii S. F.
Mathematical model of recognition of sentence syntactic structure in text processing. pp. 5154
Summary: The method of recognition of syntactic structure of natural language sentences is suggested. The method is based on mathematical simulation of semantic relations and their properties.
PHYSICS
Zhestkov S. V., Kuvshinov V. I.
A remark to dark soliton theory. pp. 5559
Summary: For common system of secondorder coupled nonlinear Schroedinger equations, the dark soliton solution is found. The necessary and sufficient conditions for this solution are formulated.
CHEMISTRY
Kostyuk S. V., Kaputskii F. N., Mardykin V. P., Gaponik L. V., Antipin L. M., Kuzaev A. I.
Quasiliving cationic polymerization of styrene with 1Phenylethyl chloride (TiCl_{4}) Bu_{2}O. pp. 6063
Summary: The cationic polymerization of slyrene with 1phenylethyl chloride/titanium tetrachloride/dibutyl ether has been investigated. It is shown that the application of dibutyl ether causes passing living polymerization. The influence of ether on rate. molecular weight, molecular weight distribution of polymer has been analysed.
Vecher A. A., Voropaev A. G., Gusakov A. G., Zheludkevich M. L., Savitsky A. A.
On some thermodynamic aspects of interaction between atomic gases and materials. pp. 6468
Summary: The thermodynamic interpretation of mass transfer phenomena in systems with atomic gases ("superpermeability" and "pumping"), based on the fact of increasing atomic gas chemical potential, is provided in comparison with nondissociated (molecular) gas. The possibility of recombination reaction of gas phase atom with crystal lattice atom is shown and the features of copper and silver oxidation by atomic oxygen are explained from this point of view. It is shown that it is necessary to consider the contribution of kinetic energy to chemical potential in accelerated beams of gases.
BIOLOGY
Yakushev B. I., Korsenko M. N.
Influence of natural radioactive background on growth and development of plants. pp. 6973
Summary: Influence of radioactive background of the Earth on growth and development of plants in processes of germination of seeds and following sprouts growth outdoors is studied.
It is shown that germination of seeds in closed lead chamber decreased their germinating capacity and increased following sprouts growth outdoors.
Orlovskaya O. A.
Plants embryogenesis and regeneration from young triticale hybrid embryos with inclusion of Aegilops. pp. 7477
Summary: Plants regeneration by somatic embryogenesis from young F_{2} triticale hybrid embryos including Aegilops chromosomes, their parents  hexaploid triticale and genomesubstitution wheat lines where Dgenome was substituted for appropriate genomes of Aegilops was studed. Of 8 cross combinations F_{2} the green regenerants were obtained in 7 ones.
Ditchenko T. I., Kudryashov A. P., Yurin V. M.
Modification of proton pump activity of plant cell plasma membrane on exposure to 1,2,4triazole derivatives. pp. 7882
Summary: The effect of 1,2,4triazole fungicides derivatives  propiconazole, tebuconazole, and cyproconazole  on lightstimulated electrogenic proton pump of intact plant cell plasma membrane was investigated. Electrophysiological analysis of results showed that mechanism of action of tested triazoles concerned direct inhibition of H^{+}ATPase plant plasma membrane.
Nashkevich N. N., Akalovich S. T., Louneva N. M., Voitenok N. N.
Endothelial form of Interleukin8: the study of production by human monocytes using monoclonal antibodies. pp. 8386
Summary: Interleukin8 (IL8) plays a central role in neutrophil chemotaxis and activation. Two forms of IL8 exist, consisting of 72 (IL8_{72}) and of 77 aminoacids (IL8_{77}). IL8_{77} was reported to be produced predominantly by endothelial cells and is known as "endothelial" IL8 while IL8_{72} is known as "macrophagederived" since it is mainly detected in monocyte cultures. The goal of this study was to develop an immunoassay for detection of 77 a.a. form of human IL8. Mouse monoclonal antibody was produced that recognized IL8_{77}, but did not react to IL8_{72}. Sensitive ELISA specific to IL8_{77} was developed using combination of monoclonal antibodies to IL8_{77} and to both forms of IL8. Using this immunoassay, the production of IL8_{77} and IL8_{72} in the culture of human monocytes was explored. It was shown that the only form of IL8 produced by monocytes in the first 6 hours of the cell culture was IL8_{77} while IL8_{72} was accumulated at later time points. Similar data have been obtained in cell cultures of different cell lines. The accumulation of IL8_{72} at later time points was prevented by adding protease inhibitors cocktail to the culture indicating that it appeared via protheolytic conversion of previously secreted IL8_{77}. We suggest that IL8_{77} is main form of IL8 operating in physiological leukocyte emigration and chemotaxis in vivo.
Palilova A. N., Urbanovich O. Yu., Dolmatovich T. V., Pavlyuchuk N. V., Akhramenko A. D.
Differentiation of potato clones resistant and susceptible to X and Lviruses using polymerase chain reaction (PCR) method. pp. 8789
Summary: Closely related potato clones differing in stability and degree of resistance to X and L viruses were studied using PCR method with arbitrary primers. Polymorphism between the resistant and susceptible clones was revealed at the DNA level. Deletions of some amplification fragments have been revealed in the clones resistant to these pathogens.
Sheiko Ya. I., Kvitko O. V., Koneva I. I., Tyurikov A. P.
Analysis of proliferation and differentiation of normal (aging) human and mouse fibroblasts by means of lifetime videomicroscopy. pp. 9094
Summary: Analysis of human and mouse fibroblasts cultivated in vitro by means of lifetime videomicroscopy revealed substantial difference in differentiation and proliferation that can be associated with difference in lifespan and frequency of cancer transformation in these species.
EARTH SCIENCES
Levykh N. N., Bulkin Yu. S., Abramenko V. I.
Behavior of some rareearth elements in PreMidRiphean weathering crusts developed in crystalline basement rocks in Belarus. pp. 9597
Summary: The behavior of Sc, Yh, Y, La in PreMidRiphean weathering crusts developed in the crystalline basement rocks with different composition has been studied. It is shown that these elements are characterized by poor mobility in the crust formation processes (removal is about 30%), with an exception of some sections built by the ripest weathering products when their removal increases up to 5075% due to their release from less stable minerals. Besides mineralconcentrators and intensive crust formation processes, the secondary processes considerably influence on migration capacity.
Kovderko V. E.
On nature of mountain glaciations. pp. 98101
Summary: Nature of vertical climatic zonality and mountain glaciations is examined. Negative temperatures in hionosphere are caused by oxygen excitationatomizationionization as well as influence of rigid ultraviolet part of solar radiation spectrum. The offered concept is based on analysis of temperature graphic of atmosphere and results of direct experiment.
Konishchev V. S.
Compensation thickness of suprasalt deposits within Pripyat Trough. pp. 102106
Summary: It is proved that compensation thickness of suprasalt deposits in the Pripyat Trough is 4500 m and it is the same as general thickness of suprasalt deposits.
Aizberg R. Ye., Starchik T. A.
Influence of marginal palate strains on Hercynian structures development in the Southern Belarus. pp. 107110
Summary: Hercynian tectonics in the Southern Belarus is due to both intraplate rifting processes developed in the PripyatDonets aulacogen and effects of external geodynamic strains on the side of the mobile belts of the TeysseireTornquist zone, the Carpatian part of the paleoThetys and the ProCentral European foreland.
TECHNICAL SCIENCES
Usacheva E. Yu., Revyako M. M., Poluyanovich V. Ya., Sitnov A. A.
Structure and properties regulation of foamed polyethylene. pp. 111114
Summary: Method of foaming highpressure polyethylene by nitrogendicarbonamid without peroxide combinations is considered. As a structure regulator of foams, different extender agents, such as talc, chalk, kaolin are offered.
The influence on process of formation of gasstructured elements and changing physical and mechanical characteristics of compositions is shown (density, water absorbing capacity, thermal diffusivity compression strain).
Chichko A. N., Drozdov E. A.
Computer simulation of alloys thermoelasticity crystallizable in threedimensional spatial structures. pp. 115119
Summary: The computer model based on the equations of the theory of thermoelasticity describing processes of formation of deformations and pressure in metal environment in conditions of cooling and hardening is offered. The variant certainly  difference approximations are offered and the computer calculations of pressure and deformations in a threedimensional industrial element such as "wedge" are made.
Susin A. A.
Chemicothermally hardened steel structure and submicrostructure and resistance to contact fatigue. pp. 120123
Summary: On the basis of Xray diffraction, metallographic, electronmicroscopical, and durometric investigation, influence of the structural characteristics of hardened strata on magnitude of resistance to contact fatigue is explained. It is established that in the areas of maximal equivalent stresses, the processes of origin and progressing fatigue microcracks are determined by submicrostructure and hardness of the hardened strata. It is shown that reason for the resistance characteristic dispersion to depth contact fatigue of the hardened strata with similar hardness is availability of miscellaneous structural components in them (plate and rack martensite, bainite. carbides, and residual austenite).
/ Publications / Scientific Journals / Back to Top of Page
Designed and maintained by Dr. Nikolai N. Kostyukovich. Last updated: April 18, 2002
Created with assistance of Dr. Ignatii I. Korsak
Copyright © 2002 The National Academy of Sciences of Belarus
Copyright © 2002 The Belaruskaya Navuka Publishing House