http://dspace.nbuv.gov.ua:80/handle/123456789/140534 2026-04-19T01:58:53Z 2026-04-19T01:58:53Z http://dspace.nbuv.gov.ua:80/handle/123456789/140555 2018-07-10T22:23:12Z 2016-01-01T00:00:00Z

Александр Андреевич Борисенко (к семидесятилетию со дня рождения) 24 мая 2016 года исполнилось 70 лет выдающемуся математику, члену-корреспонденту НАН Украины, доктору физико-математических наук, профессору Александру Андреевичу Борисенко.

2016-01-01T00:00:00Z Nazarov, F. Sodin, M. http://dspace.nbuv.gov.ua:80/handle/123456789/140554 2018-07-10T22:23:10Z 2016-01-01T00:00:00Z

Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions Nazarov, F.; Sodin, M. We study the asymptotic laws for the spatial distribution and the number of connected components of zero sets of smooth Gaussian random functions of several real variables. The primary examples are various Gaussian ensembles of real-valued polynomials (algebraic or trigonometric) of large degree on the sphere or torus, and translation-invariant smooth Gaussian functions on the Euclidean space restricted to large domains.

2016-01-01T00:00:00Z Mustafayeva, Y.Y. Aliyev, N.A. http://dspace.nbuv.gov.ua:80/handle/123456789/140553 2018-07-10T22:22:58Z 2016-01-01T00:00:00Z

New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions Mustafayeva, Y.Y.; Aliyev, N.A. The solutions of a boundary problem with non-local boundary conditions for a three-dimensional Laplace equation are studied. Here, the boundary conditions are the most common and linear. Further, we note that the singular integrals appearing in the necessary conditions are multi-dimensional. Therefore, the regularization of these singularities is much more di±cult than the regularization of one-dimensional singular integrals. After the regularization of singularities the Fredholm property of the problem is proved.

2016-01-01T00:00:00Z