Doklady of the Academy of Sciences of Belarus, 1997, Vol.41, No.1
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Doklady of the Academy of Sciences of Belarus, 1997, Vol.41, No.1

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

CONTENTS
MATHEMATICS
Zabreiko P.P., Laptinsky V.N.
Fixed point principle and nonlocal theorems on solvability for essentially nonlinear differential equations. pp. 59
Summary: This article deals with some new solvability results for operator Riccati equations. Some global existence theorems are obtained. The main idea of authors' approach is based on some modifications of the Kantorovich fixed point principle for smooth operators in Banach spaces and on elementary estimates for solutions to scalar Riccati equations which follow from theorems on differential and integral inequalities.
Monastyrny P.I., Shanko D.V.
Invariant submersion for nonlinear net boundary value problems. pp. 1015
Summary: In this paper the development of the theory of invariant submersion method is carried out. Some questions dealing with numerical algorithm construction are studied on the bases of i.s.m. for nonlinear net problems.
Yanchevsky V.I.
Index reduction formulae for local hyperelliptic curves with poor reduction. pp. 1621
Summary: The index reduction formula is obtained for special hyperelliptic curves defined over local nondyadic field of zero characteristic.
Leonov N.N.
nwidths in nonArchimedean normed spaces. pp. 2225
Summary: A method to estimate nwidths in nonArchimedean normed spaces is proposed. This method is applied to evaluating nwidths of the class of padic functions.
Knyazhishche L.B.
The limit set localization and asymptotic stability for delay equations. pp. 2629
Summary: The limit sets localization with respect to "zeros" of an auxiliary functional is investigated for delay equation in the framework of the LyapunovRazumichin method. Asymptotic stability conditions are presented as a generation of the BarbachinKrasovski theorem for delay equation.
Lebedev A.V.
C^{*}algebras associated with automorphisms acting on the singled out ideals. pp. 3033
Summary: For a given action of a group by automorphisms of a singled out ideal of a C^{*}algebra there is introduced and studied the structure which is a natural generalization of the classical crossproduct.
Benediktovich V.I., Sarvanov V.I.
Hamiltonian cycle problem for planar cubic graphs. pp. 3437
Summary: It has been shown that the Hamiltonian cycle problem for planar, cubic and 3connected graphs is reduced to the same problem for planar, cubic and cyclically 4connected graphs.
Krushevsky A.E., Naumovich S.A.
Mathematical stimulation of tooth periodontial equilibrium. pp. 3843
Summary: The article deals with a calculated model of periodontium as a membrane bounded with two composite elliptic hyperboloids. The strained state in the region of joining periodontium and a root of the tooth was examined, the total reduction in the stress level and an increase in rigidity at tooth translations being observed, the equation of tooth turn spiral axis being written and nodisplacement conditions along the axis of rotation being found out. The investigations pursued have found an application in practice of tooth prosthetics and elimination of various defects in tooth location.
PHYSICS
Parashchuk V.V., Gribkovsky V.P.
On light selfchanneling at streamer discharge in semiconductors. pp. 4449
Summary: The spatial characteristics are calculated and the conditions for light selfchannelling in a strong electric field are determined. It is shown that such effects were possible at streamer discharge in semiconductors.
Markevich M.I., Piskunov F.A., Chaplanov A.M., Matusevich L.V., Chen Chao
Redistribution of implanted impurity during impulse laser excitation. pp. 5054
Summary: A general numerical solution of the onedimensional heat diffusion and diffusion equation respectively used to calculate the temperature of a surface and the redistribution of B in Si exposed to pulsed heating. The numerical solution (based on a finite difference model) is in a good agreement with experimental measurements.
CHEMISTRY
Kim Te Il, Sosinovich Z.I., Soldatov V.S.
Computation of potentiometric titration curves of ion exchangers with weak bases. pp. 5558
Summary: A method for computation of potentiometric titration curves of ion exchangers with weak bases has been developed. It is based on the suggested earlier equation f(pH, C, x) = 0 as a function of parameters of acidity of an ion exchanger and the dissociation constant of the base. It illustrated with the example of titration of a fibrous carboxylic ion exchanger by aqueous solutions of NH_{3}. The method provides an accuracy comparable with the experimental one.
Dikhtievskaya L.V., Makarevich N.A., Mozheiko F.F.
Kinetics of salt adsorption in high aliphatic amines at the water solution/air interface. pp. 5963
Summary: On the basis of the kinetic dependencies of the surface tension of cationic surfactants (the salts of high aliphatic amine C_{12}C_{18}) at the water solution/air interface the energy of lateral interactions and activation energy of the masstransference against the degree of packing of the adsorption layer and the length of the hydrophobic amine radical have been evaluated and compared.
Gaponenko N.V., Borisenko V.E., Bachilo E.Ye., Grozhik V.A., Molchan I.S.
Thermodynamic evaluation of chemical component interaction between semiconductor substratum and thin film silica coating doped by rareearths or II group metal oxides. pp. 6468
Summary: The thermodynamic analysis of chemical interaction between semiconductor substratum and thin film silica coating doped by II and III group metal oxides shows that there is, in some cases, a possibility of metal reduction from its oxide. The results obtained are useful for solidstate electronics technology.
Streltsov E.A., Osipovich N.P., Lyakhov A.S., Ivashkevich L.S.
Underpotential deposition of metals during cathodic electrochemical synthesis of metal selenides. pp. 6973
Summary: The regularities of cathodic reduction of metal cations (Pb^{2+}, Cd^{2+}) on Seelectrodes in acidic water solutions are investigated. Underpotential deposition of metal atoms on Sesurface is found. Cathodic reduction of Se(IV) and metal cations at E > E_{Men+/Me0} results in the formation of appropriate selenides. This formation is due to the interaction between selenium atoms, electrodeposited overpotential, and underpotential deposited metal atoms.
BIOLOGY
Khotyljova L.V., Kaminskaya L.N., Matveenko S.N.
Population structure and transgressive variability of quantitative traits in triticale hybrids obtained in vitro. pp. 7478
Summary: Comparison of quantitative trait expression in triticale forms and F_{2} hybrids obtained in field and in vitro was carried out. The analysis of variability, count of segregated positive transgressions and characteristic of plant distribution in populations show the possibility of productivity improvement in particular triticale samples.
Vereshchako G.G., Khodosovskaya A.M., Konoplya E.F.
The influence of chronic gammairradiation on the functional state of some radiosensitive and radioresistant tissues of rat organism. pp. 7983
Summary: The article presents the data concerning the influence of chronic irradiation on nucleic acids and the crude protein content in rat testis, spleen and liver tissues, as well as on testis and spleen weight and blood leukocytes amount at the total 6.0 Gy dose. Chronic gammairradiationinduced effects resulted in significant reductions in the biochemical indices more pronounced in spermatogenic epithelium, drop in testis weight and leucopenia.
Mongin A.A., Fedorovich S.V., Konev S.V.
Effect of nitric oxide generators, sodium nitroprusside and nitrosocysteine, on membrane potential of brain nerve endings. pp. 8487
Summary: The effects of two nitrogen monoxide (NO) generators, sodium nitroprusside (SNP) and SnitrosoLcysteine (NC), on transmembrane electric potential of rat brain synaptosomes evaluated from steadystate accumulation of ^{3}Htetraphenylphosphonium bromide (^{3}HTPP^{+}) and K^{+} analogue, ^{86}Rb^{+} were studied. SNP (10 µM  10 mM) decreased ^{3}HTPP^{+} as well as ^{86}Rb^{+} accumulation in dosedependent manner with halfmaximum effect at 10  20 µM. The increase in drug concentration above 1 mM was not followed by further membrane depolarization. NC also depolarized synaptosomes but in contrast with SNP in the concentration range from 10 µM to 10 mM no saturation of the effect was found. SNP as well as NC did not affect mitochondrial potential evaluated from ^{3}HTPP^{+} accumulation under high external K^{+} conditions. Thus NO causes depolarization of synaptosomal plasma membrane. A possible role of this phenomenon in NOdependent neurotransmitter release is discussed.
Lemesh V.A., Titok V.V., Kalitukho L.N.
Morphophysiological characteristic of different cultivars and varieties of flax at the seedling stage. pp. 8892
Summary: Fiber flax seedlings of different varieties and cultivars were used for the study of a comparative analysis of morphophysiological features at early developmental stages. It was shown that seedlings of high productive cultivars were characterized by high dry matter increase. Differences in the chlorophyll content in different flax varieties and cultivars appeared to be insignificant.
Lupei A.Yu., Voluevich E.A.
Effects of alien plasmon on seedling resistance to Septoria nodorum of Belarusian cultivars of spring wheat. pp. 9395
Summary: Investigation of the seedling resistance to Septoria nodorum of wheat alloplasmic lines cv. Byelorusskaya 12 and Byelorusskaya 80 showed that manifestation of cytoplasmic effects to a great extent depends on the nuclear genetic background and on the pathogen genotype. Cytoplasms of Triticum polonicum and T. turanicum increased the level of resistance to high aggressive pathogen isolate in combination with genomes of both cultivars.
EARTH SCIENCES
Naidenkov I.V.
Lead isotopy in rocks of Okolovo ore deposits. pp. 9699
Summary: The analysis of relations between lead isotopes in rocks of Okolovo ore deposits and contents of uranium and thorium in their ores suggests a significant role of hydrothermalmetasomatic processes in formation of the ferriferrous rocks.
Konishchev V.S.
Peculiarities of formation of salt massif internal structure. pp. 100103
Summary: Lower parts of some salt massifs are shown to be normally stratified because they were in tectonic shadow during halokinesis.
Velichkevich F.Yu., Sanko A.F.
Stratigraphy of Pleistocene in Orsha Upland. pp. 104109
Summary: The Byelovezhian and Muravian interglacial deposits are distinguished by palaeocarpological and malacological methods in Orsha Upland during the new boring.The Belovezhian deposits lie on the Yaseldian till. The Nizhninskian, Berezinskian and Dnieperian glacial complexes are found in the ByelovezhianMuravian space.
Svidersky Ye.I., Altshuler P.G.
Prospects of oil and gas potentialities of the abovesalt Devonian complex in the Pripyat depression from isotopehydrochemical data. pp. 110113
Summary: The study hydrochemical conditions of the abovesalt Devonian complex in the Pripyat depression is indicative of the existence of favourable conditions for formation, accumulation and preservation of natural hydrocarbons.
TECHNICAL SCIENCES
Makarevich A.V., Pinchuk L.S., Dunaitsev I.A.
New polymer microorganism carriers in biofilters for waste water purification. pp. 114118
Summary: Polymer fibrous elements having a stable configuration are produced by "meltblowing" method. They serve as an excellent microorganism carriers in biofilters intended for waste water purification. These materials comply with the constructivetechnological requirements imposed on biomass carriers, ensure the rapid starting period and an effective work of biofilter. Modified polymer materials possessing the controlled bioactivity should be considered as a new generation of microbe culture carriers, which determines prospects of an engineering ecology development.
Sorokin V.V.
Application of Brinkman equation to description of filtration through pebble beds. pp. 119121
Summary: The equality of effective viscosity in Brinkman equation to ordinary fluid viscosity is shown for the fluid flow through pebble beds.
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