Doklady of the Academy of Sciences of Belarus, 1996, Vol.40, No.6
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Doklady of the Academy of Sciences of Belarus, 1996, Vol.40, No.6

DOKLADY OF THE ACADEMY OF SCIENCES OF BELARUS
(Doklady Akademii Nauk Belarusi)Published by The Belaruskaya Navuka Publishing House, Minsk, Republic of Belarus

CONTENTS
SCIENTISTS OF BELARUS
Kuprevich Vasilii Feofilovich (1897  1969) (To Centenary of His Birthday). pp. 56
MATHEMATICS
Zakrevsky A.D., Zakrevsky L.A.
Diagnostics of EXORcircuits. pp. 711
Summary: The problem of EXORcircuits testing is considered. A method for minimum test generating which covers all diagnosable stuckat faults is proposed. An exact algorithm for diagnostics is suggested.
Saigo M., Kilbas A.A.
Compositions of generalized fractional integration operators with Fox Hfunction and a differential operator in axisymmetric potential theory. pp. 1217
Summary: The explicit composition formulae of the generalized fractional integration operators with Fox Hfunction of general form and a differential operator of axisymmetric potential theory on McBride's spaces of tested and generalized functions arc proved. Similar results for the generalized fractional integrals with Gauss hypergeometric function are given and applications to solving the linear differential equations are indicated.
Rovba Ye.A.
Approximation of functions differentiated according to RiemannLiouville by rational operators. pp. 1822
Summary: Fourier S_{2n}(x, f) and ValleePoussin V_{8n2}(x, f) rational operators are built for the functions given at the final segment [a;b]. The above approximations estimations are found by these function operators possessing the arbitrary of order r, r > 0, according to Riemann  Liouville.
Lebedev A.V.
C*algebras related to the normally acting groups of automorphisms. pp. 2326
Summary: The structure of a C* algebra C*(A, T_{g}) generated by a C* algebra A and a unitary group {T_{g}}_{g Î G} such that T_{g}AT*_{g} = A, g Î G in the situation when the automorphisms T^_{g} = T_{g}(·)T*_{g} of A act topologically freely is well known (and is given by the crossproduct). The article presents the structure of C*(A, T_{g}) in the situation when the automorphisms T^_{g}, g Î G do not act topologically freely but only normally.
Gladkov A.L.
The Cauchy problem for the porous medium equation with strong convection in infinity. pp. 2730
Summary: The existence and uniqueness theorems of the solution of the Cauchy problem in the classes of growing functions for the porous medium equation with strong convection are proved. The behaviour of the solutions for large time is also considered.
Vasyuk G.B., Yanchevsky V.I.
On 2torsion of Bauer group of local elliptic curves with a good reduction defined over the field of 2adic numbers. pp. 3133
Summary: Let E be an elliptic curve defined over the field of 2adic numbers Q_{2} and E(Q_{2}) be its subgroup of Q_{2}rational points. The presentation of the group _{2}BrE by unramified central simple algebras over the function field Q_{2}(E) of curve E having a good reduction is obtained.
Melnikov O.V.
Profinite groups with finitely generated Sylow subgroups. pp. 3437
Summary: It is proved that a profinite group G with a finite number of prime divisors of the order of G and finitely generated Sylow subgroups has an open pronilpotent normal subgroup. The result is used in an investigation of profinite groups with the maximum condition for subgroups.
Kruger A.Ya.
Strict epsilonsemidifferentials and differentiation of setvalued mappings. pp. 3843
Summary: A notion of strict epsilonconjugate setvalued mapping is introduced on the basis of the notions of strict epsilonsemidifferentials and strict epsilonnormals. The main formulas of calculus of strict epsilonsemidifferentials are stated. The results concerning "differentiating" a superposition of setvalued mappings and a marginal function, and also the covering theorem are formulated.
PHYSICS
Dostanko A.P., Pogrebnyakov A.V., Sheng Y.K., Levinsen M.T., Freltoft T.
Minimum in the voltage dependence of the resistance of thin YBa_{2}Cu_{3}O_{7x} microbridges. pp. 4448
Summary: A differential resistance minimum at zero bias voltage was observed in the characteristics of YBa_{2}Cu_{3}O_{7x} thin film microbridges of 10 µm in length (L) and 1µm in width (W), or L = 3 µm and W = 2 µm which had no supercurrent at the temperatures above 4,2 K. Possible causes of the minimum appearance are discussed.
Grushevskaya G.V., Gursky L.I., Komarov L.I., Krylov G.G.
Nonsphericity of electron density distribution and polarization effects in solids. pp. 4953
Summary: The correction to selfenergy for Fermi systems, namely to exchangecorrelation energy, am to nonsphericity of the electron density distribution on atoms of solid state clusters has been calculated, based on the temperature Green function technique.
Kazachenko V.P., Rogachev A.V., Yegorov A.I.
Structure and optical properties of vacuum polymeric coatings. pp. 5456
Summary: Surface analysis methods were used for determining the chemical composition and the structure of boundary layers of single, multilayer and composite thin films (about 1 µm) of polytetrafluorethylene, polyethylene and dispersed dye. Optical properties of such systems are presented.
CHEMISTRY
Gaponik N.P., Shchukin D.G., Sviridov D.V.
Photocatalylic oxidation of sulphur (IV) oxide on the cadmium sulphide modified by polyaniline deposition. pp. 5760
Summary: The photocatalytic activity of CdS suspension in the reaction of sulphur dioxide oxidation in acid medium has been substantially improved by deposition of polyaniline on the semiconductor particles. It has been shown that such modification results not only in the considerable (ca.3fold) increase in the efficiency of photocatalytic conversion of SO_{2} into sulphate but also suppresses of the CdS photodissolution.
Makarevich N.A.
Equation of isotherm and differential heat of associative adsorption. pp. 6166
Summary: Isotherm of adsorption and differential heat taking account of adsorbent  adsorbate interactions and lateral ones, as well as molecular association in the adsorption layer was obtained. Theoretical calculations are given.
Kabo G.Ya., Govin O.V., Kozyro A.A.
Thermochemical conventional environment and additivity of chemical exergies of alkanes. pp. 6771
Summary: A new environment model for calculations of chemical exergy based on products of combustion in calorimetric studies of combustion enthalpy was proposed. On the basis of the offered model chemical exergies of alkanes were calculated and the opportunity of additive calculations of chemical exergy was investigated with various additive schemes.
BIOLOGY
Tarutina L.A., Khotyleva L.V.Mishin L.A., Poskannaya S.I., Kapusta I.B.
Relation between heterosis and nonalletic interaction in hybrids of the first generation of hothouse tomato. pp. 7275
Summary: The role of epistasis in genetic determination of heterosis was studied in F_{1} hybrids of hothouse tomato. Epistasis of a complementary type caused by one or several parental forms was shown to be present in genetic control of traits determining fruit yield, and the heterosis level in hybrids with the participation of these forms did not always depend directly on this type of the genic effect.
Sidorovich E.A., Rak L.D., Bozhko L.V.
Structural and functional characteristic properties of pine assimilation apparatus in technogenic environment. pp. 7679
Summary: Investigation of structural and functional state of assimilation apparatus of Pinus sylvestris L. revealed some changes of its anatomical structure and physiological functions resulting from the releases of Novopolotsk City oil refinery.
Pikulik M.M., Sidorovich V.E.
Seasonal prevalence in otter reproduction and amphibian availability. pp. 8083
Summary: In Belarus and Eastern Europe as a whole, otter (Lutra lutra) reproductive timing and family group distribution in a cold period depend on the possibility to feed on the common frog (Rana remporaria). Regularity is discussed in aspect of structural and functional relationships in natural and anthropogenic ecosystems.
Alekhnovich A.V.
Patterns of quantitative characters variability in prawn. 8487
Summary: Present mechanisms of the regulation of the body length variation are directed to conservation of a given parameter unchangeable. This feature of variability is proposed to be used as a criterion of an estimation of natural conditions of a population or a group of individuals at the period of their growth.
Buloichik A.A.
Variability in virulence of the population Puccinia triticina Erikss., widespread in Belarus area. 8891
Summary: The difference between wheat leaf rust populations from Vitebsk and Mogilyov regions in the frequency of occurrence of virulence genes p1, p2a and p24 was shown. Gene Lr2a was effective only in Vitebsk region. Genes Lr1, Lr9 and Lr19 could provide the highest resistance to Belarusian population of the pathogen.
EARTH SCIENCES
Avtushko M.I., Matveev A.V., Nechiporenko L.A.
Linear dislocations shown by radon concentrations in covering deposits within the Volozhin graben area. pp. 9294
Summary: The research carried out suggests the recent tectonic activity of the Naliboki and Oshmyany regional faults bounding the Volozhin graben, as well as of several subregional and local linear dislocations found within this structure.
Konishchev V.S.
Asymmetry of the structure, oil and gas possibilities of salt domes. pp. 9599
Summary: Most salt domes are shown to be asymmetric and their old and steep slopes have more oil and gas pools.
Poroshin V.D.
Hydrogeochemical evaluation of spreading catagenetic halite formation in deposits of saltbearing sedimentary rock basins and its practical significance. pp. 100104
Summary: A wide spread of catagenetic halite within subsaliferous and intersaliferous deposits is shown on the basis of hydrogeochemical monitoring during the development of the oil fields of Belarus. Dissolution of the halite due to using water of low salinity for formation pressure maintenance while oil extracting leads to considerable increase in volumetric and filtration properties of oil reservoir rocks.
Parfenova O.V., Guseva E.V., Naidenkov I.V., Arkhipova A.A.
Petrochemistry and genesis of preCambrian enderbites and charnockites (Belarusian crystalline massif as an example). pp. 105109
Summary: A new classification of rocks of enderbite  charnockite series has been developed. Enderbites are shown to be formed as a result of the allochemical metamorphism of basic granulites, while charnockites are formed under regional granitization conditions of granulitic facies.
TECHNICAL SCIENCES
Vityaz P.A., Kaptsevich V.M., Kusin R.A.
The model structure regularity in porous powder materials. pp. 110115
Summary: The model of porous powder material with an irregular structure describing the relation between maximum and mean pore sizes, regularity parameter and geometric sizes of a porous sample is developed. Conformity of computation results as to the proposed model and experimental studies is revealed.
A list of papers published in the Journal "Doklady of the Academy of Sciences of Belarus" 1996. pp. 116121
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