# Доклады Национальной академии наук Беларуси, 1999, Том 43, No.4

/ Издания академии / Научные журналы

Доклады Национальной академии наук Беларуси, 1999, Том 43, No.4

## СОДЕРЖАНИЕ

**МАТЕМАТИКА**

*Skiba A.N., Shemetkov L.A.*
**Partially composition formations of finite groups.** pp. 5--8

*Summary:* The structure of partially composition formations of finite groups is studied using special functions called *E*-composition satellites.

*Beresnevich V.V.*

**Optimal approximation order of points on smooth curves in tridimensional Euclidean space.** pp. 9--13

*Summary:* A metrical theorem of Khintchine is generalized to Diophantine approximation of points lying on a smooth curve in **R**^{3} with almost non-vanishing tortion.

*Shiryaev V.M.*

**Filtered semilattices.** pp. 14--16

*Summary:* It is proved that the class of filtered semilattices is strictly contained in the class of semilattices with upper semidistributive lattices of subsemilattices. At the same time the class of filtered monorisal semilattices (i.e. where decomposable elements form a chain) is equal to the class of monorisal semilattices with upper semidistributive lattices of subsemilattices.

*Tikhonov S.V.*

**Brauer groups of elliptic curves with bad reduction defined over complex formal series.** pp. 17--21

*Summary:* Presentation of *p*-primary torsion of Brauer groups of elliptic curves with bad reduction defined over complex formal power series by unramified central division algebras has been provided.

*Lipnitsky A.A.*

**2-Torsion of Brauer groups of elliptic curves with good bicomponent reduction over real formal power series.** pp. 22--25

*Summary:* Presentation of 2-torsion of Brauer groups of elliptic curves with good bicomponent reduction defined over real formal power series by unramified central division algebras has been provided.

*Kilbas A.A., Saigo M., Glaeske H.-J.*

**Modified Bessel type integral transform and its compositions with fractional integration and differentiation operators.** pp. 26--30

*Summary:* The integral transform of the type (*Kf*)(*x*) = ò^{¥}_{0} *k*(*xt*)*f*(*t*)*dt* (*x* > 0) with the kernel *k*(*x*) generalizing the modified Bessel function of the third kind *K*g(*x*) is introduced. The asymptotic and composition properties of the kernel k(x) are studied. The conditions restraining operator *K* in McBride's spaces of tested and generalized functions *F*_{p,m} and *F'*_{p,m} are provided. Invariance of such integral transforms with precision to changed indices of Liouville fractional integration and differentiation has been established.

*Demenchuck A.K.*

**Existence and stability of periodic solutions for linear non-homogenous differential equations of the second order.** pp. 31--33

*Summary:* Existence and stability of periodic solutions for a class of linear nonhomogeneous equations of second order have been proved.

*Zabreiko P.P.*

**Hammerstein theorem on unique of non-linear integral equations.** pp. 34--39

*Summary:* This article presents some new results on the unique solvability of Hammerstein integral equations with symmetric and nonsymmetric kernels and nonlinearities generating nonlinear operators satisfying (in the corresponding spaces) the Lipschitz condition on each ball but not in the whole space.

**ФИЗИКА**

*Vitkin A.E., Rubinov A.N.*
**Reconstruction of light ultrashort pulse dynamics by time-domain holography with spectral noise background.** pp. 40--43

*Summary:* Possibilities of reconstructing light ultrashort pulse dynamics by time-domain holography using spectral-shift function are discussed. Comparative analysis of various methods for mathematical processing of spectral holograms which allow to minimize the influence of the phase noise on the accuracy of the signal temporal-spectral dynamics reconstruction has been performed.

*Korshunov F.P., Lastovsky S.B.*

**Effect of radiation defects on avalanche breakdown volrage at silicon ***p*--*n*-junctions. pp. 44--47

*Summary:* Irradiation of silicon *p-n*-junctions by electrons with energy 4 MeV increases the avalanche breakdown voltage at room temperature which is caused by decrease of concentration gradient of minor impurities as the result of radiation defects containing basic doping agents.

*Dymont V.P., Nekrashevich E.M., Starchenko I.M.*

**Synthesis of crystalline cartoon nitride.** pp. 48--50

*Summary:* The new crystalline phase was synthesized from precursor containing carbon and nitrogen by high pressure technique. The lattice spacings of phase are well compatible with the theoretically expected parameters of a hypothetical carbon nitride.

*Shaposhnikov V.L., Migas D.B., Filonov A.B., Borisenko V.E.*

**Zoning of ruthenium silicide and germanide.** pp. 51--53

*Summary:* Simulation of ruthenium silicide Ru_{2}Si_{3} and germanide Ru_{2}Ge_{3} electronic structure has been performed by the linear muffin-tin orbital method within the electron density approximation. The silicide was found to be a direct semiconductor with an energy gap of 0.41 eV, while the germanide is characterized by an indirect transition of 0.31 eV and a direct one of 0.33 eV.

**ХИМИЯ**

*Mitina T.D., Dikhtievskaya L.V., Goncharik I.I., Mozheiko F.F.*
**Effect of binary solutions of cationic surfactants on their colloidal-chemical properties.** pp. 54--57

*Summary:* Characteristics and composition of the mixed adsorption layers and micellar systems on the basis of the isotherms of the surface tension of cationic surfactants -- the salts of high aliphatic amines C_{12}--C_{18} and their binary mixtures -- at the water solution/air interface have been determinted.

*Ulyanova T.M., Basalyga I.I., Krutko N.P., Zub E.M.*

**Formation of solid zirconia-alumina solutions.** pp. 58--61

*Summary:* The phase transitions of zirconia, prepared by sol-gel method, and its composite mixtures with g, q, a-alumina fibres were studed. The formation of the tetragonal solid solutions ZrO_{2}--Al_{2}O_{3} in temperature range 600--1200°C was established. At thermal treatment over 1200°C solid solutions were decomposed because of structural transitions g-, q-alumina into a-corundum, and martensite transition zirconia.

*Makarevich N.A., Afanasiev N.I., Monakov Yu.B.*

**Donor-acceptor characteristics of lignin-containing compounds.** pp. 62--65

*Summary:* Adsorption-thermodynamic method of surface investigation involving molecular test-adsorbates has been substantiated. Quantitative evaluation of electron/proton donor and acceptor capacity at the surface of lignin-containing powders (lignosulphonates) was carried out. Specific and non-specific differential adsorption heat figures were found to be correlated with polarisation of unicharged cations in the tested specimens.

**БИОЛОГИЯ**

*Lyakhnovich G.V., Petrovskaya O.B., Volotovsky I.D.*
**Effect of light and guanyl nucleotides on hydrolysis of polyphosphoinositides in cell membranes of etiolated oat seedlings.** pp. 66--69

*Summary:* Light absorbed by phytochrome was shown to stimulate the phosphatidylinositol-4,5-bisphosphate (PIP_{2}) hydrolysis in endoplasmic reticulum membranes isolated from etiolated oat seedlings. The reversibility of red and far-red light photomodulation of PIP_{2} content was found. In the presence of non-hydrolysed analog of GTP--GTP-g-*S* the level of PIP_{2} in membranes was decreased similar to red-light effect. Combined action of red light and GTP-g-*S* did not result in synergistic response. The non-hydrolysed analog of GDP--GDP-b-*S* did not change the level of PIP_{2} even if the samples were irradiated by red light. The conclusion was drawn that *G*-proteins are located in the direct chain of phytochrome transduction.

*Abramchik L.M., Serdyuchenko E.V., Chaika M.T.† *

**Effect of temperature on formation of light-collecting complex of photosystem 2 during greening of etiolated barley seedlings.** pp. 70--72

*Summary:* The influence of heat periodical shock on etiolated barley seedlings and on greening process was investigated. It was reveal ed that content of carotenoids, carrying out the antioxidant function, increased in the etiolated seedlings under the of heat shock treatment. High temperature led to slowing of chlorophyll biosynthesis. LHCP-2 apoprotein content was reduced both in etiolated and in the greening seedlings. The influence of temperature factor on the structural organization of photosynthesis system is discussed.

*Reshetnikov V.N., Kaler V.L., Bulko O.P., Bykova L.N.*

**The impact of effector secreted by Daphnia magna on growth rate of the culture Scenedesmus acutus.** pp. 73--75

*Summary:* An effector secreted by alga-eating Daphnia magna Straus fed with Scenedesmus acutus Meyen cells is shown to slow down scenedesmus culture growth if alga concentration was high, and speeded up the growth in diluted alga cultures. The effector is supposed to act, most probably, on epigenetic control level.

*Yatsina A.A., Kontsevaya I.I., Shalupaev M.P.*

**Effect of 6-benzylaminopurine on germination of isolated embryos and formation of adventitious shoots in cloudberry.** pp. 76--78

*Summary:* Effects of different BAP concentrations on germination of mature cloudberry embryos and the induction of its adventitious shoots in culture in vitro are estimated.

*Voluevich E.A., Lupey A.Yu.*

**Modifying action of cytoplasmatic genetic systems on spring wheat tolerance to septorial blotch.** pp. 79--82

*Summary:* It was found that wheat tolerance to septoria glume blotch depends on nuclear genome, plasmon, and environmental conditions. Cytoplasms of Aegilops juvenalis, Triticum polonicum and T. dicoccoides var. spontaneonigrum significantly decrease yield losses caused by the disease in alloplasmic lines which have genomes of wheat cultivars Belorusskaya 12 and Belorusskaya 80. Two latter cytoplasms have the highest breeding value because they do not affect productivity of healthy plants.

*Lobanova A.B., Kharitonchik S.A., Fomin I.K.*

**Reverse transcription of retroviral genome: role of terminal replication in minus-strand DNA transfer.** pp. 83--96

*Summary:* Retroviral replication requires synthesis of a double-stranded DNA-provirus by reverse transcription of the viral genomic RNA. According to the current model of reverse transcription, the initial short DNA molecule, termed minus-strand strong-stop DNA, is synthesized near the 5' end of the RNA template and then "jumps" to its 3' end via repeated sequences, **R** regions, available at both ends of the RNA template. Wide size range of the **R** region in different retroviruses, from 16 to 247 nucleotides, and recently shown possibility of premature strand transfer suggest that extended homology at the **R** region does not play a crucial role in minus-strand strong-stop DNA transfer. To test this hypothesis, we have generated Mo-MuLV based retroviral vectors that have either the full-length 5' **R** region deleted variants. The retroviral vector lacking 5' **R** region was able to replicate and gave the virus titve 60-fold lower than the vector with full-length **R** region. This result indicates that minus-strand DNA transfer can be realised in absence of **R** region and, probably, there is a specific mechanism promoting the process.

**НАУКИ О ЗЕМЛЕ**

*Sokolick G.A., Ovsyannikova S.V., Kilchitskaya S.L., Kudelsky A.V., Eismont E.A., Kimlenko I.M.*
**Effect of soil humidity on radionuclide supply into soil solutions.** pp. 87--91

*Summary:* Different pattern of changes in ^{137}Cs, ^{90}Sr, ^{239, 240}Pu and ^{241}Am mobility in the system "solid phase -- porous solution" of organic and mineral soils with variation of water saturation degree has been established. It may be determined by diverse mass transfer mechanisms at solid phase--solution interphase.

*Karataev G.I.*

**Gravity field dynamics during Pripyat Trough formation.** pp. 92--95

*Summary:* The concept of the Pripyat Trough tectonogenesis is considered below. It is based on the formation of some plume-fluid energetic source (an asthenospheric lense) which was formed in the asthenosphere beneath an ancient suture zone. Energy of the source is mainly spent for transformation of the substance in the lower part of the lithosphere into plastic state and also for formation of a basalt layer of melts at the level of eclogitisation. Stages of the Pripyat Trough formation are distinguished. Gravity field curves are shown for each stage. Described gravity field paleodynamics complicated changes of the field during the Trough formation.

*Yakubovskaya T.V., Rylova T.B., Litvinyuck G.I.*

**Paleobotanic age substantiation of Brinev brown coal deposits, Belarus.** pp. 96--99

*Summary:* Results of palynological and paleocarpological investigations of the Miocene brown coal deposits revealed in the section of the borehole 61 within the Brinev area located in the Petrikov district of the Gomel region, Belarus are discussed.

*Bulkin Yu.S.*

**Geochemical peculiarities of heterogenous acidic gneisses from Belarus Anteclise.** pp. 100--102

*Summary:* Geochemical studies of acidic gneisses carried out in this region have established that distribution of Ni, Co, V, Cr in gneisses may provide a significant key to reconstruct their mother substance.

*Konishchev V.S.*

**The scale of suberosion in the Pripeat Trough.** pp. 103--105

*Summary:* The thickness and volume of the caprock of the Upper Frasnian salt formation, halite and clay-halite subformations of the Famenian salt formation in the Pripyat trough were estimated and volume of leached salt was calculated. The 100 km^{3} of salt from the Frasnian formation, 720 km^{3} of salt from halite subformation and 955 km^{3} from clay-halite subformation were leached.

*Kononov A.I., Mikutsky S.P., Bogino V.A., Garmasheva L.F.*

**Factors promoting free gas deposition in the Pripyat Trough.** pp. 106--109

*Summary:* The compaative analysis of geological-geochemical peculiarities of the Pripyat Trough and several gas-bearing regions of the World motivate bright industrial prospects of the central and southern parts of the Trough.

*Velichkevich F.J.*

**Potamogeton species of the Pliocene flora from Kholmech, Belarus.** pp. 110--113

*Summary:* The genus Potamogeton has been chosen for investigations from Pliocene flora of Kholmech on the Dnieper in a similar way as it was done for the flora of Mizerna, southern Poland. 14 extinct and 2 contemporary species of this genus were isolated and described in the Kholmech flora. Brief commertaries and illustrations are presented.

**ТЕХНИЧЕСКИЕ НАУКИ**

*Khorunzhy I.A., Ulyashin A.G., Frantskevich N.V., Alifanov A.V., Stepanenko A.V.*
**Mathematical simulation of laser irradiation of High-Tc ceramics.** pp. 114--116

*Summary:* The one-dimension physical-mathematical model of interaction of laser irradiation with High-*T*_{c} ceramics is proposed. The results of numerical simulation of melting depths under nanosecond pulsed laser treatment of **Y**-based ceramics with different densities of energy are presented.

*Burya A.I., Kozlov G.V., Sviridenok A.I., Malamatov A.H.*

**Fracture characteristics of high-density polyethylene under rapid degradation conditions.** pp. 117--119

*Summary:* In the article the fractal characteristics of polyethylene of high density in conditions of high-speed destruction are investigated. The equation is obtained which allows to evaluate plasticity in case of cracks with smooth shores.

*Soika A.K., Leshchenko V.G., Vashkevich I.V.*

**Crowbarotron -- new device for controllable discharge of capacitor banks.** pp. 120--122

*Summary:* The paper describes a crowbarotron -- a new device for implementing the programmable discharge of several (in the present case -- five) capacitor banks on the inductive load. The crowbarotron consists of an air spark gap (trigatron) and five crowbar (target) electrodes. The radially expanding arc plasma of trigatron following discharge of the first capacitor bank by sequertial contact with crowbar electrodes switches on the rest capacitor banks. The necessary time-delay switching is automatically provided by the geometry of crowbar electrodes.

/ Издания академии / Научные журналы / К началу страницы

Разработана и поддерживается Николаем Н. Костюковичем. Последнее обновление: *6 сентября 2008 г.*

Создана при участии Игнатия И. Корсака

Копирайт © 1999-2008 Национальная академия наук Беларуси

Копирайт © 1999 Издательство "Беларуская навука"