### BRAKING EFFICIENCY OF POSITIVELY AND NEGATIVELY CHARGED PARTICLES IN ULTRA-COLD GAS OF MAGNETIZED ELECTRONS

We performed the molecular dynamics simulation of the braking process of charged particles moving in a dense ultra-cold magnetized electron gas. The case of the uniform magnetic field is considered. The motion of ions with a charge +e and –e is considered. The dependence of the braking efficiency on the sign of the charge, as well as on the angle between the ion velocity and the direction of the magnetic field, is investigated. Results of the simulation are compared with available theoretical models, as well as with the previously obtained results.

Read More### RESEARCH OF REVERSE BOUNDARY VALUE PROBLEM OF AEROHYDRODYNAMICS IN MODIFIED STATEMENT

In this paper, the authors consider a modified inverse boundary-value problem of aerohydrodynamics, in which it is necessary to find the shape of a wing profile streamlined by a potential flow of an incompressible inviscid fluid when the distribution of the velocity potential in one section of the profile is specified as a function of the abscissa, in the rest of the profile as a function of the ordinate of the profile point, in addition, value of speed of a free stream.

Read More### STATEMENT OF THE BOUNDARY VALUE PROBLEM ON THE GRAPH

Differential equations found in different applications, can be interpreted as equations in graphs. There is good reason to argue that the theory of such equations can be applied on a large scale, and on the other hand, the properties of the graph can be used to create a qualitative theory of such equations and methods for solving them. Using the simple properties of graphs, we can study the action of solutions of differential equations. There is reason to believe that the structure of the graph affects some important properties of the solution.

Read More### ON CORRECTNESS OF MATHEMATICAL MODELING METHOD OF ACOUSTIC RADIATION PROCESS FROM LINEAR DEFECT IN ANGULAR AREA

This work is devoted to the analysis of vibrations in an elastic body in the form of a right dihedral angle excited by a linear defect generating acoustic radiation signals. It is assumed that during the growth process, the defect reaches the top of the angle, the boundaries of which are rigidly fixed. The author studied the problems of the correct application of the methods of the dynamic theory of elasticity for modeling this process. This situation arises when studying the problem of the reliability of the junction of elements of technological equipment operating in a dynamic mode. A similar situation arises in the geophysical analysis of wave processes in the angular blocks of the earth’s crust. The problem is reduced to the analysis of some boundary integral equation with respect to the jump in the amplitude of the stresses at the defect. The questions of solvability of the equation in spaces of fractional smoothness are studied.

Read More### ON STUDY OF QUASIHARMONIC OSCILLATOR WITH NONLINEARITY AND SATURATION

The apparatus of the theory of differential equations is a very effective means for studying oscillatory processes in various branches of physics and technology. Naturally, the most accessible for investigation are oscillatory systems with low nonlinearity. Moreover, the study of systems close to a harmonic oscillator (quasi-harmonic oscillator) is still of particular interest. In this paper, we give an example of the study of a quasi-harmonic oscillator (with non-linearity with saturation) by the method of approximate point mappings. The question of its synchronization is reduced to solving the question of the existence of fixed points of a point mapping, in the construction of which the method of successive approximations is applied. The question of the local applicability of the results of an approximate study is discussed in the paper.

Read More### NUMERICAL MODELING OF ONE-DIMENSIONAL THERMALLY STRESSED STATE OF A ROD FIXED AT TWO ENDS WITH DIFFERENT HEAT SOURCES

The computational algorithm is developed and the thermo-stress-strain state of a rod fixed at two ends with a constant cross section depending on the presence of partial thermal insulation, heat flux and heat exchanges is numerically investigated, based on energy principles, focused on minimization of total thermal energy of elastic deformations combined with the use of a quadratic finite element with three nodes.

Read More### MATHEMATICAL MODELING OF ONE-DIMENSIONAL THERMALLY STRESSED STATE (THERMOELASTICITY) OF A ROD FIXED AT TWO ENDS WITH DIFFERENT HEAT SOURCES

The mathematical model of a rod with a constant cross section fixed at both ends is developed depending on the presence of partial thermal insulation, heat flux, and heat exchanges based on energy principles, focused on minimization of total thermal energy of elastic deformations combined with the use of a quadratic finite element with three nodes.

Read More### MAIN FEATURES OF THE STAND FOR THE CREATION OF A MAGNETO-OPTIC TRAP FOR CALCIUM-40 ATOMS

A stand was created for laser cooling and trapping of calcium atoms in a magneto-optical trap (MOT). MOT was obtained from calcium-40 atoms and its parameters were optimized. A narrow fluorescence resonance of an atomic calcium beam was observed. The frequency and width of the resonance at the 4s3d 1D2 – 4s5p 1P1 calcium-40 transition were measured by increasing the resonance fluorescence intensity in the MOT.

Read More### SYNTHESIS OF PROCESSES BUSINESS DIRECTORY AND THE ELECTRONIC DOCUMENT MANAGEMENT SYSTEM BASED ON IBM LOTUS NOTUS\DOMINO

Considered software IBM Lotus Notes \ Domino and developed on the basis of its electronic document management system. R & D is to provide integration into the electronic document directory of business processes, for the classification of the enterprise. The process of receiving through the reporting system, and a comparison to give statements at the working directory of business processes. The results obtained allow us to speak about the advantages of directory integration of business processes in electronic document management system, in the absence of the need to provide graphical reporting.

Read More### OPTIMAL STRATEGIES MULTIPRODUCT FOOD BUSINESSOPERATION USING GENETIC ALGORITHMS AND PARTICLE SVARM

In this paper the authors propose an optimization problem of control over the operation of the company, which produces food products with a large range of items delivered in the form of a nonlinear programming problem with a vector criterion, for which we have developed a modified genetic algorithm, and also one of the innovative heuristic methods, particle swarm optimization. The developed software using two algorithms of optimization on the user selection – genetic algorithm or particle swarm optimization algorithm.

Read More### COMPUTER MODELLING OF SMALL MOLECULES OF ORGANIC AZIDES ON THE BASIS OF HN3, CH3N3, NCN3, C2H5N3, NCCH2N3

The theoretical calculations, made by using density functional theory, and the analysis of fundamental properties of small molecules of organic azides HN3, CH3N3, NCN3, C2H5N3, NCCH2N3 (molecular structure, electron and vibrational spectra, elements of chemical bond, thermodynamic functions, space distribution of electron density) have been given in the article. The applicability of B3LYP/TZVP method for prognostication of various structures is proved by experimental confirmation of theoretical data.

Read More### INFORMATION SYSTEM FOR MONITORING RESIDENTIAL BUILDINGS

The article briefly describes the development of the information system (IS) for monitoring residential buildings. Different from an existing IS is the ability to obtain the list of the most probable causes of the defects at the building structure.

Read More### ABOUT THE ORIGINAL PROPERTIES OF PHOTOGRAPHIC GELATINS

The abnormal phosphorescence of organic compounds for the first time found in work (photographic gelatin of various activity), testifies that they can be considered as organic semiconductors. To this fact also points structure existence in a phosphorescence spectrum of gelatins.

Read More### GELATIN AS ORGANIC SEMICONDUCTOR

In work it is shown that photographic gelatin serves not only as a matrix, in which there are microcrystals of halogenides of silver; they are the active transmitter of electrons from gelatin to microcrystals of halogenides of silver.

Read More### ABOUT ABNORMAL PHOSPHORESCENCE OF ORGANIC SEMICONDUCTORS

Investigating the luminescent properties of organic semiconductors, in particular poly-N-vinilcarbazol, the abnormal phosphorescence, i.e. nonmonotonic decrease of attenuation, was found, especially in the pure. The range of times, characteristic for abnormaliy, in the case with poly-N-vinilcarbazol is less, than for gelatin.

Read More### CONTINUITY OF SOLUTION OF INVERSE PROBLEMS FOR THE EQUATION OF RADIATION TRANSFER

The theory of inverse problems for the particle transport equation is one of the rapidly developing areas of modern mathematics. This article discusses the continuity of the solution of inverse problems for the radiative transfer equation in multi-zone regions from R. In fact, the inverse problem is studied for the non-stationary radiative transfer equation, which consists in simultaneously finding the scattering coefficient ss and radiation intensity u. In this case, it suffices to prove the continuity of the solution of the inverse problem from R with respect to additional information. In this paper, we study the local properties of the classical solution of the single speed time-dependent equation considered in a multi-zone domain.

Read More### OPTICAL PROPERTIES OF FILMS BASED ON POLYMETHYL METHACRYLATE DOPED WITH β -DIKETONATES OF BORON DIFLUORIDE

The linear and non-linear optical characteristics of new polymeric materials based on polymethyl methacrylate doped with β-diketonates of boron difluoride are studied in the article. The obtained samples showed a high output of one- and two-photon fluorescence and high two-photon absorption coefficients. Spectral characteristics of the samples enable the use of the studied materials as fluorescent concentrators of solar energy.

Read More### ANALYTICAL FUNCTIONS OF AN COMPLEX VARIABLE WITH PARAMETERS

In this paper, we consider the analytic functions of a complex variable with small parameters generated by some operators. We study the asymptotic behavior of a function with respect to a small parameter. The problem is solved using line-level harmonic functions. The analytic domain of the function is divided by some lines into parts, and in some parts the limits (by a small parameter) exist, but in others they are infinite or do not exist.

Read More### ON GRAVITATION MECHANISM

The analysis of the gravitation process mechanism is carried out using the condition of a stationary state in wave-particle interactions and within the framework of non-relativistic mechanics. The author obtained an equation of the functional dependence of the constant of gravity on the electric constant. It is assumed that gravity is the wave contribution from the mass of charged particles when they move in the field of central forces.

Read More### SOME ASPECTS OF INTEGRAL GRAHANGE METHOD APPLICATION FOR DESCRIPTION OF FEATURES OF DEEP-WATER DRAINING OF OIL PRODUCTS IN CASE OF MARINE PIPELINES DAMAGE

The author uses a mathematical model describing the propagation of a multiphase flooded jet caused by the damage to the oil-producing structure or the marine pipeline used for the transportation of hydrocarbons. The flow features of multiphase and single-phase (gas) jets are studied. The author also studied the effect of hydrate formation on the jet parameters. The integral Lagrange method is used to calculate the thermophysical parameters. As a result of these calculations, the author obtained the dependences of temperature and velocity on the vertical coordinate. Data analysis of dependencies allows predicting jet behavior and study the possibilities of application of devices for leak detection.

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