Doklady of the National Academy of Sciences of Belarus, 1998, Vol.42, No.4
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Doklady of the National Academy of Sciences of Belarus, 1998, Vol.42, 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
Guletskii V. I., Yanchevskii V. I.
Torsion of Bauer groups of the curves defined over multidimensional local fields. pp. 58
Summary: Explicit estimates of the length of the cyclic algebra representation of primary torsion in Bauer groups of the curves defined over multidimensional local fields under the condition of rationality of the corresponding torsion in the Jacobian manifold were found in the article
Vasyuk G. B.
On 2torsion part of Brauer groups elliptic curves with bad reduction in reducible case defined over the field of 2adic numbers. pp. 912
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 bad reduction is obtained for reducible case
Rovba E. A.
On the approximation of functions of a limited variation by the Freyer and Jackson rational operators. pp. 1317
Summary: Estimates of approximations of the functions, having a limited variation over the section and satisfying Lipshits' condition of the order of a, 0 < a < 1, are obtained by means of Freyer's and Jackson's operators
Lazakovich N. V., Yablonskii O. L.
Stochastic qdifferentials in the algebra of generalized random processes. pp. 1822
Summary: Approximations of stochastic qintegrals in the algebra of generalized random processes are considered in this article
Alekhno A. G.
The homogeneous Riemann boundaryvalue problem with an infinite index in the space of functions with quite regular growth. pp. 2328
Summary: A general solution of the Riemann boundaryvalue problem with an infinite index is considered in the case of multilateral vorticity
Minyuk S. A.
On the problem of a quadratic regulator for linear discrete systems. pp. 2932
Summary: A solution of the squarelaw regulator problem is given for linear discrete systems
Kilbas A. A., Glaeske H.J.
Bessel type integral transforms on weighted L_{p}spaces. pp. 3339
Summary: Two integral transforms of the form (Kf)(x) = ò_{0}^{¥} K(xt) f(t)dt (x > 0)
with the kernels K(x) generalizing the modified Bessel function of the third kind K_{g}(x), are studied in the spaces L_{v, r} of functions f with
ò_{0}^{¥}  t^{n} f(t) ^{r} (dt/t) < ¥ (1 £ r < ¥, n Î R).
On the basis of the theory of Htransforms the boundedness conditions, different integral representations and characterization of the ranges for the considered transforms are given
Orlovich Yu. L.
On Hamilton cycles in elocally connected graphs. pp. 4044
Summary: In recent years a number of results dealing with graphs which contain no K_{1, 3} as an induced subgraph has been obtained. It is proved in this paper that K_{1, 3}free connected elocally connected graphs have some stronger properties than Hamiltonianity. The main results are stated in terms of cycle extensions
Zyl A. N., Matus P. P.
Efficient difference schemes for multidimensional parabolic equations on irregular grids. pp. 4550
Summary: New efficient and unconditionally stable computational methods for the parabolic equation of the second order of approximation on irregular rectangular grids are constructed and investigated. A priori estimates of the solution in the norm C are obtained in the new principle of maximum for the derivatives
Bernik V. I., Dickenson H., Dodson M.
Approximation of real numbers by integer polynomials. pp. 5154
Summary: We proved the inhomogeneous case of A. Baker's conjecture: for any d Î R the inequality P(x) + d  < H(P)^{n+1} Y (H(P)) has only a finite number of solutions in integer polynomials of a degree £n for the monotoneously decreasing function Y(x) satisfying the condition å_{H = 1}^{¥} Y (H) < ¥
PHYSICS
Sirota N. N.
A method for calculating phonon spectra of solids. pp. 5560
Summary: New simple interpolation method of determination of phonon spectra for quasiisotropic solids is regarded using the values of elastic moduli: bulk modulus B, Young's modulus E and shear modulus G. The phonon spectra calculated with this method are in good agreement with those determined by the BornKarman method
Vyshatko N. P., Olekhnovich N. M., Salak A. N.
The structure and dielectric properties of stable and metastable phases of PbCu_{1/3}Nb_{2/3}O_{3}. pp. 6164
Summary: PbCu_{1/3}Nb_{2/3}O_{3} at high pressure and temperature is found to exhibit the phase transition from pyrohlore structure to perovskite one. Results of the weakfield dielectric response investigations are given. The temperature phase transition is shown to be due to change of character of dipole ordering for both structure modifications. For perovskite modification it corresponds to relaxor ferroelectric type
Zaporozhchenko V. A., Katarkevich V. M., Rubinov A. N., Ryzhechkin S. A., Efendiev T. Sh.
A picosecond DFB dye laser with stable parameters of generation. pp. 6569
Summary: A picosecond light source with improved energy and wavelength stability including a holographic DFB dye laser pumped with an actively modelocked YAG: Nd laser is reported. Such a laser system provides generation of ~10 ps pulses at a repetition rate of 12.5 Hz with energy stability of 5 % and temperature wavelength sensitivity of 0.08 nm/degree
Korshunov F. P., Mudryi A. V., Patuk A. I., Shakin I. A.
Luminescence of heteroepitaxial silicon films on sapphire. pp. 7073
Summary: Lowtemperature (4.2 K) photoluminescence of silicon on sapphire films with different thicknesses has been investigated. The experiments show that the common form of luminescence spectra in the energy range from 0.7 to 1.15 eV (the number of wide bands in the spectra, their shape, the energy position, the intensity) is strongly dependent on the thickness of the films. Some of these bands can be definitely assigned to radiative recombination at dislocations. It is found that in the luminescence spectra of silicon on sapphire films impuritybound emission, bands are shifted relative to their position in singlecrystal bulk silicon. The residual compressive stress in silicon on sapphire films is estimated, using the photoluminescence method
CHEMISTRY
Vorobyova S. A., Sobal N. S., Lesnikovich A. I.
Colloidal silver produced by twophase reduction. pp. 7478
Summary: A colloidal silver solution in the organic phase was synthesized by chemical reduction in a twophase system (decanewater) without special stabilizers. Dispersity and phase composition of the disperse phase of the colloidal solution were analysed with the methods of chemical and Xray analyses, electron microscopy. UV and visible spectroscopy. It is shown that the disperse phase of the colloidal solution contains spherical crystal silver particles with the size 20110 nm (d_{max} = 26 nm, s = 0.67)
BIOLOGY
Sholukh A. M., Artamonov I. D., Baranova L. A., Volotovsky I. D.
Localization of tyrosine kinase activity in bovine rod outer segments. pp. 7982
Summary: Localization of the tyrosine kinase activity in bovine rod outer segments is studied. The activity is found in discs, plasma membrane and cytosol. The target protein of tyrosine kinas has a molecular weight of about 70 kDa
Melnikova A. M., Matus V. K., Skorinko E. V., Baranets N. L., Martynova M. A., Titok V. V., Plenina L. V., Khlyustov S. V., Konev S. V.
A pool of lowmolecular metabolites based on yeast biomass produced under ozoneinduced stress. pp. 8388
Summary: The composition of the pool of lowmolecular compounds accumulated in the medium during ozone treatment was studied, using yeasts Candida utilis and Saccharomyces carisbergensis. Significant amounts of nucleotides and nucleosides (mainly, adeninecontaining), vitamins B_{1} and B_{2} as well as a complete set of amino acids characteristic of the yeast cells have been found. This ozoneinduced accumulation of lowmolecular products is shown to result from the damage of cell membrane permeability barriers followed by efflux of the pool of free metabolites rather than from ozonecatalyzed destruction of the cell biopolymers
Pisarchik A. V., Kartel N. A.
The effect of insertions of simple sequences into the 35S CaMV promoter on its activity in the case of transient transformation of tobacco protoplasts. pp. 8993
Summary: A possible role of simple sequences in regulation of transcription is studied. For this purpose there were developed constructions, containing AC and AT repeals of various length in distal and proximal to TATAbox regions of 35S CaMV promoter. Promoter activity was modified to a greater extent when simple sequences were inserted in proximal to TATAbox region, than in a distal one. (AC)_{n} insertions in proximal region led to decrease and (AT)_{n} to increase of promoter strength
Pyzhova N. S., Nikandrov V. N.
The role of redox reactions in activation of plasminogen by subcellular particles of brain and liver. pp. 9499
Summary: A plasminogenactivating ability of mouse brain and liver "nuclear", "mitochondrial" and "heavy membranes" fractions is modified by metabolic poisons (0.001 M). 2,6dichlorophenolindophenol, NADH (0.007 M) and active oxygen species scavengers. NADH presence changes the character of above mentioned compounds influence. It has been concluded, that one of the causes of the indicated ability is redoxreactions, which produce an active oxygen species
Aleshchenkova Z. M.
Preparatory metabolism of tetraphthalate esters in Rhodococcus bacteria. pp. 100103
Summary: Strains of Rhodococcus erythropolis, R. ruber, R. luteus, R. maris, utilizing dimethylterephthalate, diethylterephthalate, dibutylterephthalate, diallylterephthalate as the sole source of carbon have the common route of initial metabolism of these compounds: diester  monoester terephthalate  benzoate  phydroxybenzoate  protocatechuate  3ketoadipinate. Benzoate may also be transformed via catehol into 3ketoadipinate
Giginyak Yu. G.
Ecological determination of biogeographic ranges of the distribution of hydrobionts. pp. 104108
Summary: In the article the possibility of a theoretical approach to determination of biogeographical ranges of distribution of hydrobionts is considered, proceeding from the biological ability to reproduce within a certain temperature range. It is shown that, knowing the species area, it is possible to calculate the temperature range most favorable for the reproduction of a species or to determine its biogeographical ranges from the temperature range in which the species is able to reproduce
Potapnev M. P., Kuzmenok O. I., Potapova S. M., Smolnikova V. V., Myslitskii V. F., Rzheutskii V. A., Vasilevskaya T. A., Vasyukhina L. V.
Functional disorders of Tcell immunity in persons engaged in Chernobyl emergency operations  10 years after the accident. pp. 109113
Summary: The results evaluating Tcell immunity of 148 persons affected by consequences of Chernobyl accident are presented in this work. We demonstrated that 10 years after the accident immunophenotyping of peripheral blood lymphocytes did not reveal marked disturbance in lymphocyte subpopulation content in exposed group as compared with healthy control. Determination of cell proliferation in vitro indicated the decrease in DNA synthesis of Tlymphocytes stimulated with optimal and particularly suboptimal concentrations of polyclonal Tcell activators. Based on individual deviation of results of Tlymphocyte proliferation the groups with high and low level of response were sorted out for further examination
EARTH SCIENCES
Rylova T. B.
Biostratification of Belovezhian and Alexandrian interglacial Pleistocene horizons in Belarus. pp. 114117
Summary: Biostratigraphic subdivision of the Belovezhian and Alexandrian interglacial deposits of the Belarus Pleistocene into regional pollen assemblage zones is given in the paper
TECHNICAL SCIENCES
Lynkov L. M., Petrov N. P.
Structural characteristics of zirconium oxide films produced by rapid thermal annealing. pp. 118120
Summary: Results of a study of structural and barrier properties of thin zirconia films on Si substrates are presented. The influence of rapid thermal annealing on these properties was investigated. Xray diffractometry, AEM, TEM and SIMS methods were used in these experiments. Thin ZrO_{2} films were obtained by thermal oxidation of thin Zr films. Varying characteristics of rapid thermal annealing (temperature and duration of annealing), both quality dense and destructive thin ZrO_{2} films can be formed on Si substrates. These thin ZrO_{2} coatings can be used as a high temperature dielectric and as a material for liftoff lithography purposes in microelectronics
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