Известия Нац. академии наук Беларуси. Сер. физ.матем. наук, 1998, No.2
/ Издания академии / Научные журналы
Известия Нац. академии наук Беларуси. Сер. физ.матем. наук, 1998, No.2

Известия Национальной академии наук Беларуси
СЕРИЯ ФИЗИКОМАТЕМАТИЧЕСКИХ НАУКИздатель: Беларуская навука, Минск, Республика Беларусь 
СОДЕРЖАНИЕ
МАТЕМАТИКА
Zhestkov S. V., Laptinsky V. N.
On the existence and stability of the periodic solutions of some nonlinear wave partial differential systems. pp. 510
Summary: The projective functional method for constructing wperiodic in t, x solutions of nonlinear wave systems of the first order is proposed and justified. Sufficient coefficient conditions of the asymptotic stability of wperiodic solution are obtained.
Demenchuk A. K.
On the stability of quasiperiodic solutions of linear nonhomogeneous systems. pp. 1112
Summary: Sufficient conditions of stability of special quasiperiodic solutions are given for the linear systems with a small parameter.
Zhuk V. A.
A monotone difference scheme for parabolic and elliptic equations with the lowest, derivatives on nonuniform grids. pp. 1317
Summary: A monotone difference scheme on the irregular grids for parabolic and elliptic onedimensional boundary problems with a nonselfadjoint operator is proposed. The convergence of the scheme is proved. The approximation methods of the second and the third boundary conditions are considered. Computational results are given.
Zavadski V. L., Blinova E. I.
Nonparametric estimation over l_{p} balls in l_{r}. pp. 1822
Summary: We consider the problem of estimation of a sequence sampled with noise. The sequence is assumed to belong to a Besov space of sequences, the noise is supposed to have the qth moment bounded. We propose a nonlinear estimation and prove an upper bound for the convergence rate in l_{r}loss.
Rychagov V. G.
On a class of difference schemes with an advanced approximation order on nonuniform grids for the convectiondiffusion equation. pp. 2328
Summary: By means of regularization principle, the monotone difference schemes of high order of approximation are constructed. It is shown that the principle of maximum is satisfied with the following relations on steps t ³ ch^{2}, h = max h_{i}. Some estimates of the stability and convergence are obtained.
Prokhorovich T. N.
An application of the Fuchs system to solving the planar elasticity problems. pp. 2931
Summary: The mixed problem of elasticity theory is solved for the plane with two slots.
Ivanov N. N., Alekhina A. E.
On properties of the dynamic Leontief model for fuzzy input data. pp. 3233
Summary: Dynamic Leontiev's model with fuzzy data, assumed as triangle numbers, is under consideration. The authors prove that the fuzzy inputoutput vector of the model tends to a conventional deterministic vector.
Egorov A. D., Petrov V. A.
On the functional integrals expansion which connect to the interpolation of Gaussian measures. pp. 3437
Summary: The interpolation formula of the Gaussian measures are generalized and the continual integral on X[0, T] is expanded in series of the products of integrals with respect to X[0, T/2] and X[T/2, T] for continuous functionals.
Levina T. I., Matsevich D. A., Sinkevich D. V.
On aggregated information based estimating the initial state vector of Markov's chain. pp. 3842
Summary: Some statistical results about estimation of the initial state vector on the basis of aggregated information are given.
Ibragimov V. A., Makhnach V. I., Shved O. L.
An elasticplastic problem about the antiplanar deformation of rectangular region with a gap. pp. 4346
Summary: An exact solution of a nonlinear boundaryvalue problem for an elasticplastic material in antiplanar state is obtained in case of rectangular bar with a gap, with hardening law being the diagram suggested by Sokolowsky.
Petrov P. K.
Green's function for the diffraction problem on a cylinder. pp. 4751
Summary: Dyadic Green's function for the diffraction problem on an infinite circle homogeneous isotropic cylinder with an arbitrary complex refractive index is investigated. Green's function expansion with the aid of the cylindrical eigenfunctions system of vector wave equation is obtained. It allows to find the diffraction field for any incident wave.
Gaiduk S.I.
Problem about transversal oscillations of a rectangular membrane subjected to a dynamic impact in one point. pp. 5257
Summary: Solvability of the problem about transversal oscillations of a rectangular elastic membrane for the case when the membrane was subjected to a dynamic impact in one point is investigated.
ФИЗИКА
Gurski L. I., Komarov L. I., Solodukhin A. M.
The symmetry group of the Mendeleev periodic element system. pp. 5865
Summary: A dynamic justification of using the representations of the dynamic symmetry group of a hydrogenlike system is offered for the mathematical description of the symmetry properties of Mendeleev's periodic system of elements. Decomposition of infinitedimensional unitary representation of SO(4, 2) group is realized on finitedimensional multiplet, determined by quantum numbers describing states of electrons. The contents of the multiplets is fully compatible with the experimentally observed contents of the electron shells of atoms.
Kuvshinov V. I., Sinitsyn N. A., Shulyakovski R. G.
Study of the correlation moments as new criteria for the installation channel of deep inelastic scattering. pp. 6669
Summary: We have calculated Hcorrelation moments for the instantoninduced processes of multiparticle production in jeep inelastic scattering. Quasiclassical approximation gives trivial results. If we take into account the first quantum correction, then the moments have a special form. Thus, we have obtained new features of instanton induced events in addition to the known footprints, which can be used for experimental search of these processes.
Sirota N.N., Tekhanovich N.P., Berezina G.M.
Temperature dependence of cellulose subjected to girradiation at 90300 K. pp. 7072
Summary: The specific heat for microcrystalline cellulose at temperatures between 90 and 300 K is measured before and after girradiation with dozes of 305 and 2760 kGy. The influence of excitation on the changing thermodynamic functions of cellulose is analysed.
Korshunov F.P., Kurilovich N.F., Prokhorenko T.A.
Influence of irradiation defects created by electrons and girradiation on electric properties of GaAs. pp. 7377
Summary: It is shown that the carrier removal mobility measured at low temperatures (T = 100 K) nonmonotonous decreasing with electron and grays doze increasing in nGaAs irradiated at T = 294 K with fast electrons (E = 4 Mev) and grays Co^{60} is caused by some main defect taking part in carrier removal scattering charge state alteration. This defect location in gap which is equal to E_{D} = E_{C}  0.12 eV is found.
Vorobei R. I., Kozello R.T., Korzhenevski A. G., Yarzhembitski V. B.
Photoelectric properties of metal  semiconductor  metal structures under heterogeneous photoexcitement. pp. 7881
Summary: We present results of the photoelectric properties analysis of metal  semiconductor  metal structures at photoexcitement region transition along the structure base in process of light point focusing to the receiver surface. SnO_{2}  Si  SnO_{2} structures have been investigated as an example. The structure model in the form of united two
pindiode by common base has been taken as a principle of calculated dependencies. Coordinate dependencies of diffusion and drift current component have been calculated in consideration of notion about focused stream boundary in the form of Gauss' surface. The given model of lit and back bariers photocurrents competitions is in satisfactory agreement with experimental dependencies of two barier structures photocurrent on focusing point coordinate. The results of investigations are interested for development of the autofocusing systems photosensors.
Sytova S. N.
Numeric modeling of Xray dynamic diffraction in crystals. pp. 8285
Summary: A numerical method for solving the system of differential equations describing Xray dynamical diffraction in nonstationary deformed crystals is proposed. Results of numerical modeling are discussed.
Vereshchagin V. G., Dynich R. A., Ponyavina A. N.
Numerical simulation of the light scattering on finite cylinders. pp. 8690
Summary: The method of volume integral equation formulation (VIEF method) is applied to numerical calculations of the scattering characteristics of finite cylinders. The oscillation character of the functional dependence of the efficiency weakening factor on the length of a cylinder of a constant diameter is shown. Comparison of the scattering properties of cylinders of various diameters is conducted. Dependence of the weakening section on changing the ratio of the diameter to the cylinder length at constant volume for two cylinder orientations (parallel and perpendicular to the incident radiation) is presented.
Tishkov V. S., Gaiduk P. I., Shiryaev S. Yu.
Forming nanosized networks in silicon. pp. 9195
Summary: Conditions of synthesizing regular dislocation configurations (misfit dislocation network) in silicon during dopants diffusion with different covalent radius are analyzed. Formation method of new type of semiconductor device using dislocation networks, localized in the base of transistor is proposed.
Savenko V. S., Ostrikov O. M.
Using the statistic method for studying the kinetics of forming wedgelike twins in bismuth crystals under the superposition, of electric and magnetic fields. pp. 9698
Summary: A current impulse passed through an irradiated bismuth crystal under concentrated tension stimulates plastic twinning strain.
Fedotova V. V., Ges A. P., Stognii A. I.
Bismuththulium ferritegarnet films with a high magnetic field resolution. pp. 99101
Summary: Study of domain structure in bismuththulium ferritegarnet epitaxial films is conducted. It is shown that these films could be used as indicators for visualization and topography of weak magnetic films.
ИНФОРМАТИКА
Pilipovich V. A., Esman A. K., Kuleshov V. K.
Algorithmic and hardware peculiarities of coding for parallel computations in the binarysignbit notation. pp. 102105
Summary: Algorithms for coding input binary data based on their transformation to binarysignbit notation data by a special algorithm are proposed. The algorithms enable to eliminate throughcarries and to reduce discrepancy of the times of fulfilling the arithmetic operations, thereby increasing considerably the speed of calculations in optoelectronic digital computing systems.
Krylenko A. V., Malinkovski Yu. V.
Closed queueing networks with rounds of nodes and a few types of customers. pp. 106110
Summary: Closed networks with N simple nodes, M customers and with rounds of nodes are considered. Rounds of nodes depend on states of the nodes and types of customers. The stationary state distribution is founded in the multiplicative form.
Gordon V. S., Potapneva E. V.
Constructing schedules for embedded job processing intervals. pp. 111116
Summary: A single machine preemptive scheduling problem to minimize the weighted number of late jobs is considered. For each job i of set N there are given a release date r_{i}, a processing time and a due date d_{i}. The problem is considered for the case of embedded intervals [r_{i}, d_{i}]. Certain specified jobs have to be completed by their due dates whereas for the other jobs due dates my be violated. The initial problem is transformed into a reduced one with zero release dates. Under additional condition on the weights and processing times of jobs, the problem can be solved in O(N log N) time.
Kovalenko N.S., Metelski V. M.
Organizing synchronic execution of distributed competing processes. pp. 117121
Summary: Mathematical relations for computing the minimal total execution time of distributed competing processes in the synchronic mode with continuous execution of program resource blocks are obtained.
Lepin V. V.
Placements, matchings and pebble games on frontrestricted graphs. pp. 122126
Summary: The class of graphs with restricted frontwidth is considered. Methods to obtain solutions to a number of wellstudied problems for this class are developed.
Pavlov S. A., Sadov V. S.
An adaptive method for compressing immovable images. pp. 127130
Summary: An algorithm for adaptive coding the still expressing, based on statistical studies is offered. Values of width of spatial spectrum along coordinate axes OX and OY for separate scene areas are used as criteria for choice of parameters of compression. An analysis of the compression results of test scenes is given.
Chernyak A. A.
Splitable graphs and covering problems. pp. 131136
Summary: The #Pcompleteness of reliability covering problem (RCP) is proved in the class of split graphs that are trees. Boundary conditions for a set of routes that give a criterion for polynomial solvability of the RCP are found for arbitrary trees. As a corollary, the subclass of trees with a set of routes being split graphs, in which the RCP is polynomially solvable, is characterized. The split dimension of trees is shown to be determined in linear time.
АННОТАЦИИ ДЕПОНИРОВАННЫХ СТАТЕЙ
Berdysheva R. A.
Stability of a lexicographically optimal trajectory of multicriterion discrete problems. p. 137
Petrov P. K.
On theory of the volume singular integral equation for electromagnetic diffraction. p. 137
/ Издания академии / Научные журналы / К началу страницы
Разработана и поддерживается Николаем Н. Костюковичем. Последнее обновление: 7 ноября 2006 г.
Создана при участии Игнатия И. Корсака
Копирайт © 19982006 Национальная академии наук Беларуси
Копирайт © 1998 Издательство "Беларуская навука"