Doklady of the National Academy of Sciences of Belarus, 2000, Vol.44, No.4
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Doklady of the National Academy of Sciences of Belarus, 2000, Vol.44, 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
Gabasov R.F., Kirillova F.M.
Constructing method of guaranteeing optimization of nonlinear dynamic systems. pp. 58
Summary: The principles of constructing optimal guaranteeing controls (of discrete type) are investigated for the nonlinear dynamic systems with unknown but bounded disturbances. A scheme of the realization of the controls is based on piecewiselinear approximations and the small parameter method.
Erovenko V.A., Ivanov Yu.G.
Essential spectra of power of the Cesaro operators in the Banach sequence spaces. pp. 913
Summary: The paper describes the fine spectra and the essential spectra of power of the discrete Cesaro operators C_{0}, C_{¥}, C_{p} in the spaces c_{0}, l_{¥}, l_{p}, 1 < p < ¥, respectively.
Alekhno A.G.
The solvability conditions of the Remmann boundary value problem in the space of bounded analytic functions. pp. 1417
Summary: The solvability conditions have been provided for the Riemann boundary value problem in the space of the bounded analytic functions.
Bouzar Sh.
Local estimates for pseudodifferential operators. pp. 1820
Summary: We obtain the local estimates in the Sobolev spaces for the operators defined as the sum of squares of pseudodifferential operators.
Malafei D.A.
Economical monotone difference schemes for multidimensional problem of convection diffusion on nonunifom grids. pp. 2125
Summary: The economical unconditionally monotone difference schemes (the maximum principle is satisfied without constraints on the relations involving scheme coefficients and grid steps) for the multidimensional inhomogeneous boundary value problems of the convectiondiffusion with variable coefficients are constructed. Schemes suggested have the second order of local approximation on a nonuniform spatial grid. A priori estimate in the maximum norm C is proved.
Emelichev V.A., Nikulin Yu.V.
Stability of an efficient solution of vector problem of integer linear programming problem. pp. 2628
Summary: We consider a multicriterial integer linear programming problem. A formula of the stability radius of the efficient (Pareto optimal, Slater optimal, Smale optimal) solutions has been proved for the case where the Chebyshev norm is defined in the space of perturbing matrices.
Kovalenok A.P.
Rotation pseudomonotone vector fields and boundary value problem for the 2nd order ordinary differential equations. pp. 2933
Summary: The paper presents the theorems on solvability and existence of nontrivial solutions of boundary value problems for the 2nd order ordinary differential equations of the elliptic type. These theorems are based on the rotation of pseudomonotone vector fields and corresponding calculating the index of a zero and asymptotic index.
Lesnevsky V.E.
On approach of solutions of stochastic differential equations containing the random Poisson process. pp. 3436
Summary: In this paper a complete classification of methods of approximation of the stochastic integrals containing the random Poisson process have been provided. The marginal behavior of solutions of the finite difference equations with averaging is considered.
BenyashKrivetz V.V.
Representation varieties of non Euclidean crystallographic groups. pp. 3741
Summary: It is found all irreducible components of the representation variety R_{n} (G_{g}) of a nonEuclidean crystallographic group G_{g} of genus g ³ 3 and it is proved their rationality.
Beresnevich V.V.
Analog of the KhintchineGroshev theorem for the nondegenerated manifolds in R^{n}. pp. 4245
Summary: The KhintchineGroshev theorem is generalized to Diophantine approximation on the smooth nondegenerate manifolds in R^{n} .
Morozova I.M.
On approach of zero by integer polynomial significances with small derivative in root. pp. 4649
Summary: It is proved the set of special real algebraic numbers forms the best possible regular system.
INFORMATICS
Bakhanovich S.V., Likhoded N.A.
Vector scheduling function for spacetime mapping. pp. 5052
Summary: A new method to schedule algorithms with the uniform dependencies for ndimensional to (nr)dimensional linear space mapping is presented. The method is based on the multidimensional scheduling.
PHYSICS
Margolin A.E., Strazhev V.I.
Chiral anomalies in quantum noncompact sigmamodels. pp. 5355
Summary: The criterion of lack of the chiral anomalies in a the noncompact G/Hsigma models, where G is the semisimple noncompact group, H is the maximal compact subgroup G is formulated. It is obtained that criterion in a case of the sigmamodels of pseudoorthogonal and pseudounitary types is sufficient.
Ryzhkovsky V.M., Dymont V.P., Nekrashevich E.M.
Structure and magnetic propeties of MnNiAs alloy. pp. 5658
Summary: MnNiAs alloy with the hexagonal crystal structure of Fe_{2}P has been synthesized from the starting components. The unit cell parameters are: a = 0.6186 nm, c = 0.3722 nm. This alloy exists only at high temperatures (more then 1000 K). The crystal structure is not affected by high pressure at 7 GPa and temperature up to 1400 K. Below 230 K the alloy exhibits the antiferromagnetic type ordering. At T = 25 K the magnetic transition to the spin cluster glass state is observed.
CHEMISTRY
Kaputskii F.N., Starobinets G.L., Yurkshtovich T.L., Bychkovskii P.M., Zimatkina T.I.
The influence of hydrophobic interactions on the sorption of biological active electrolytes by monocarboxylcellulose. pp. 5963
Summary: The sorption of three organical electrolytes of anticancer action (AE): spyrobromine chloride (SP), prospidine chloride (PR) and hydrobromid oxythiamin bromid (OT) on a macromolecular bearer monocarboxylcellulose (MCC) in H^{+}  form from water solutions at 293 K has been studied. The constants and Gibbs energy of the sorption process has been calculated. Estimation of hydrophobic interaction of the cation radikals with the (MCC) matrix is carried out. The interaction strength is decreased by transition from (SP) and (PR) to (OT). The release of the (AE) with a physiological solution passes across two stages. The medicobiological trials on defeat animals indicates that at treatment by a drug MCCOT duration of life of animals increases in 2.73.3 times in comparison with the control and at treatment by a drug MCCSP a positive effect is not observed. This is conditioned by differense of hydrophobic interactions. Thus the received results are a basis for creation a macromolecular therapeutic system MCCOT.
Matusevich Yu.I., Krul L.P.
Interchain interaction in crosslinked thermoplastics. pp. 6467
Summary: The activation energy values of mechanical destruction obtained at temperature lower than the melting point of the crosslinked polyethylene, as well as the activation energy values calculated from curves of dynamic thermogravimetric analyses at the initial stages of thermal oxidative destruction corresponding to the mass loss of the polymer up to 23 % have been shown to used in calculation of the intermolecular interaction energy in the crosslinked polyethylene.
BIOLOGY
Abramchik L.M., Serdyuchenko E.V., Chaika M.T. †
Thermal effect on formation of reaction centre of photosystem 1 in greening barley seedlings. pp. 6870
Summary: The influence of the heat periodical shock on etiolated barley seedlings and on greening process was investigated. It was revealed that the high temperature led to slowing of the chlorophyll biosynthesis. RC PSI apoprotein content was reduced in the greening seedlings. The influence of temperature factor on the structural organization of the photosynthesis system is discussed.
Shkodich A.P., Zavodnik L.B., Laman N.A., Buko V.U.
Antioxidant effects of genistein8C glycoside in vitro. pp. 7173
Summary: The aim of this work is to study an antioxidant effect of genistein8Cglycoside isolated from the lupine flower buds. The compound develops the clear antioxidant effect in the liver homogenates and microsomes. Genistein8Cglycoside prevents the destruction of cytochrome P450 and its conversion to an inactive form cytochrome P420.
Volynets A.P., Zankevich N.P.
Decretion of flavonoid glycosides by healthy and infected plants of rye. pp. 7477
Summary: The composition and content of the flavonoid glycosides secreted by healthy and infected plants of rye on the surface of photosynthetic organs is studied. In water washing from the plant surfaces the flavonoid glycosides have been revealed similar to one of internal tissues. Content of the eksogenic flavonoid glycosides fewer than the endogenic flavonoids on one order. It is assumed that the flavonoid glycosides take part in relationships of rye and rust fungi.
Shimko V.E., Kalitukho L.N., Kabashnikova L.F., Gordei I.A.
Peculiarities of microsporogenesis and accumulation of photosynthetic pigments in rye, triticale and secalotriticum. pp. 7882
Summary: At the stages of a stalkshooting and earing of secalotriticum line Novosibirskaya x L246 a homeological heterosis has been revealed on the photosynthetic pigments quantity and chlorophylls (CHL) contents in the lightharvesting complex. A high determination of a fatherly type of inheritance has been shown for the dynamics of meiosis infringements at the stages MItetrades and change of photosynthetic parameters during transition from the phase of stalkshooting to earing. Authentic positive correlation has been proved between the value of CHL a/CHL b ratio, contents of CHL a, CHL (a + b) and carotenoids and the normal process of meiosis at researched cultures: rye, triticale and secalotriticum.
Grinko I.V.
Laminin expression by fatstoring cells in experimental liver pathology. pp. 8386
Summary: In present study we investigated an expression of the structural glycoprotein of the basement membrane laminin by fatstoring cells, isolated from 1week cholestatic rat liver by the methods of molecular biology. It is found that in cholestatic liver fatstoring cells synthetize laminin at 3fold higher levels than in normal rats due to the transcriptional upregulation and play an important role in deposition of this component of the liver connective tissue matrix in the secondary biliary cirrhosis.
EARTH SCIENCES
Kuznetzov V.A., Veremchuk S.N., Glaz A.S.
New data about the structure and progress of r.Sozh valley in Holocene. pp. 8790
Summary: Some indications of the display of morfostructures and neotectonic stages, including geochemical ones, are investigated. The neotectonic movement of some earth's crust blocks are reconstructed.
Naidenkov I.V., Derevyankin Yu.A.
Perspectives of founding of metals of platinum group in crystalline basement of Belarus. pp. 9194
Summary: The formations of the crystalline basement of Belarus show a good promise for the metals of the platinum group. Metaultrabasites and metabasites of the Rusinovo complex, ilmenitemagnetite ores of the Korelichi type and graphite and sulfiderich gneisses of the Okolovo series may be suggested as the first candidates for studying and exploration.
Bulkin Yu.S.
Peculiarities of chemical composition of feldspars heterogenic granitoids of the Belarus Anteclise. pp. 9599
Summary: The revealed chemical peculiarities of feldspars with respect of petrographical investigation results may be used for genetic typical division of granitoids of the region.
Kovkhuto A.M., Mamchik S.O., Zakharenko A.A.
Peculiarities of the Famennian gypsum deposits deformation in the western part of the Pripyat Trough. pp. 100104
Summary: The tectonic cracks weren on the Brinev gypsum deposit. They are fill in gypsum, disturbing marl sublayers within gypsum bed and penetrating in the Carboniferous deposits. The fracturing zones are revealed which are a prolongation of sublatitudinal faults on an extension. The facts gypsum tectonics are established which actively has been exhibits in limits of the IV gypsum layer in the western part of the deposit and in limits of III gypsum layer in the eastern part of the Brinev gypsum deposit. This is the confirmation of damping of tectonic activity in the Pripyat Paleorift in east direction.
TECHNICAL SCIENCES
Kashevsky B.E.
Dissipative selforganization of paniculate subsystem in a fluiddisperse magnetic system. pp. 105108
Summary: An approach is developed for the fluiddisperse magnetic systems (FDMS) which puts forward the careful examination of the mesoscopic transport phenomena in the systems of interacting ferroparticles acted on by external magnetic and hydrodynamic fields. The results of both computer and experimental simulations are presented for the behaviour of the particulate systems acted on by a rotating magnetic field. It is shown that the disperse phase of FDMS being far from orientational equilibrium manifests the possibility of selforganisation that leads to forming coherent colloidal structures.
Bannyi V.A., Makarevich A.V.Pinchuk L.S.
The influence of dimensional and composition parameters of polymer composites on their radiophysical characteristics. pp. 109111
Summary: The reflection factors R of the plane normally falling electromagnetic waves (8, 10 and 12 GHz frequency) from PE samples filled with dispersed carbonyl iron and magnetosoft manganesezinc ferrite or nickel have been investigated. R dependencies on the sample thickness and filling degree have been determined. On the base of an analysis of obtained dependencies the recommendations are proposed on the dimensional and composition optimization of the protecting elements (which are made from polymer composites) aimed at attaining best characteristics of the radio absorption. It is proved that optimization principles are a high level of the electromagnetic and interference losses in the conditions of conformity between the composite wave resistance and the "free space".
Lynkov L.M., Petrov N.P., Belyatko D.P.
Heat treatment of thin film decrepitates of ZrTi alloy on Si. pp. 112115
Summary: The heat treatment of ZrTi alloy (50 %) on Si in temperature range 200950°C is investigated. The temporary intervals of the heat treatment of alloy leading to its destruction are established. With the help of the methods of a raster submicroscopy and Augersubmicroscopy it is shown, that the oxidation of alloy takes place at the expense of a difference of the generation rate of Ti and Zr oxides.
Makushok E.M., Reut O.P.
Complicated contact model of powder compacting process. pp. 116119
Summary: A complicated model of powder compacting process is presented considering a principle of selforganizing of inhomogeneous deformation processes representing both the basic kinematics and deformation principles. The advantages of the model are in providing of the analyses of influence of structural parameters on properties of a workpiece, except of the analyses of a tension.
Chichko A.N., Drozdov E.A.
Cell  automation model for the description of claster formations in AlSi alloy. pp. 120122
Summary: The model of AlSi claster formations based on the threedimension cell automation synthesis and configuration model of material is suggested.
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