http://dspace.nbuv.gov.ua:80/handle/123456789/106525 2026-04-19T08:13:03Z 2026-04-19T08:13:03Z http://dspace.nbuv.gov.ua:80/handle/123456789/106535 2016-10-01T00:01:47Z 2009-01-01T00:00:00Z

Памяти Анатолия Асировича Гольдберга 11 октября 2008 года в Израиле, в городе Нетания, скончался Анатолий Асирович Гольдберг, замечательный математик и человек.

2009-01-01T00:00:00Z Moskovchenko, E.A. http://dspace.nbuv.gov.ua:80/handle/123456789/106534 2016-10-01T00:01:47Z 2009-01-01T00:00:00Z

Simple Periodic Boundary Data and Riemann-Hilbert Problem for Integrable Model of the Stimulated Raman Scattering Moskovchenko, E.A. We consider the initial-boundary value (IBV) problem for nonlinear equations related to the integrable model of the stimulated Raman scattering in the quarter xt-plane with vanishing at infinity initial conditions and single-frequency periodic boundary data. We propose a matrix Riemann-Hilbert problem, which provides the existence of the solution of the IBV problem for all t and allows us to obtain an explicit formula for the asymptotics of the solution, using the steepest descent method for the oscillatory matrix RH problem introduced by P. Deift and X. Zhou [6].

2009-01-01T00:00:00Z Khrabustovskyi, V.I. http://dspace.nbuv.gov.ua:80/handle/123456789/106533 2016-10-01T00:01:46Z 2009-01-01T00:00:00Z

On the Limit of Regular Dissipative and Self-Adjoint Boundary Value Problems with Nonseparated Boundary Conditions when an Interval Stretches to the Semiaxis Khrabustovskyi, V.I. For the symmetric differential system of the first order that contains a spectral parameter in Nevanlinna's manner the limit of regular boundary value problems with dissipative or accumulative nonseparated boundary conditions is studied when the interval stretches to the semiaxis. When for the considered system the case of the limit point takes place in one of the complex half-planes, we obtain the condition which guarantees the non-self-adjointness of the boundary condition at zero that corresponds to the limit boundary problem. This result is illustrated on the perturbed almost periodic systems. When the boundary condition in the prelimit regular problems is periodic, we show that the limit characteristic matrix is also the characteristic matrix on the whole axis if the coefficients of the system are extended in a certain way on the negative semiaxis. In the general case we find the condition when the convergence of characteristic matrixes implies the convergence of resolvents.

2009-01-01T00:00:00Z Gordevskyy, V.D. Andriyasheva, N.V. http://dspace.nbuv.gov.ua:80/handle/123456789/106532 2016-10-01T00:01:45Z 2009-01-01T00:00:00Z

Interaction between "Accelerating-Packing" Flows in a Low-Temperature Gas Gordevskyy, V.D.; Andriyasheva, N.V. The Maxwellians of a special type, which correspond to inhomogeneous, nonstationary flows and describe the acceleration and packing of gas along some direction, are studied. The approximate description of interaction between these two flows for the model of hard spheres, when the temperatures are sufficiently small, is obtained in a form of bimodal distribution with various coefficient functions.

2009-01-01T00:00:00Z