Статьи ученых БНТУ
http://rep.bntu.by/handle/data/1008
2017-11-24T00:23:46ZConstructive Theory of Scalar Characteristic Equations of the Theory of Radiation Transport: II. Algorithms for Finding Solutions and Their Analytic Representations
http://rep.bntu.by/handle/data/34876
Constructive Theory of Scalar Characteristic Equations of the Theory of Radiation Transport: II. Algorithms for Finding Solutions and Their Analytic Representations
Rogovtsov, N. N.
We present methods for finding discrete spectra and derive analytic expressions for the eigenfunctions of scalar characteristic equations of the theory of radiation transport. We obtain new two-term recursion formulas and analytic representations for solutions of infinite tridiagonal systems of linear algebraic equations. We obtain analytic forms of the resolvents of scalar characteristic equations for phase functions square integrable on the closed interval [−1, 1]. In addition, we derive a general analytic expression for the Green function of a two-dimensional (with respect to the angular variables) integro-differential equation of the radiation transport for the case in which the phase functions satisfy the Holder condition on the closed interval
2015-01-01T00:00:00ZCalculation of Residual Magnetic-Field Distributions upon Hysteretic Interference of a Pulsed Magnetic Field
http://rep.bntu.by/handle/data/34874
Calculation of Residual Magnetic-Field Distributions upon Hysteretic Interference of a Pulsed Magnetic Field
Pavlyuchenko, V. V.; Doroshevich, E. S.; Pivovarov, V. L.
Equations that are used for the calculation and distributions of the electrical voltage U(t) output from a magnetic-field transducer as it scans a discrete magnetic medium with recorded residual magnetic fields, which were produced in it by acting individual magnetic-field pulses with opposite-polarity surges, are reported. The distributions were obtained via the Delphi programming language. The phenomenon of hysteretic interference (HI) of a magnetic field, which allows one to increase the accuracy of measurements, is used for the inspection of objects made from electrocoductive and mag-netic materials
2015-01-01T00:00:00ZThe Shape of the Magnetic Fluid Surface above a Magnetizable Sphere in a Uniform Magnetic Field
http://rep.bntu.by/handle/data/34871
The Shape of the Magnetic Fluid Surface above a Magnetizable Sphere in a Uniform Magnetic Field
Bashtovoi, V. G.; Motsar, A. A.; Naletova, V. A.; Reks, A. G.
The shape of the free surface of a magnetic fluid above a spherical ferromagnetic body immersed in it in a uniform magnetic field is investigated experimentally. The effect of the direction and magnitude of the magnetic field on the deformation characteristics of the free surface of the magnetic fluid with various magnetic properties and geometrical parameters is established
2015-01-01T00:00:00ZDamping of a Solution of Linear Autonomous Difference–Differential Systems with Many Delays Using Feedback
http://rep.bntu.by/handle/data/34869
Damping of a Solution of Linear Autonomous Difference–Differential Systems with Many Delays Using Feedback
Metel’skii, A. V.; Urban, O. I.; Khartovskii, V. E.
For linear autonomous difference–differential systems with commensurable delays, the problem of damping the solution by using a linear difference–differential controller with a state feed-back is solved. A generalization of these results to linear autonomous difference–differential systems of neutral type with commensurable delays in the case of a continuous solution is proposed. A distinc-tive feature of the present work is that the initial system is not completely controllable
2015-01-01T00:00:00Z