http://dspace.nbuv.gov.ua:80/handle/123456789/106625 2026-04-19T10:18:54Z http://dspace.nbuv.gov.ua:80/handle/123456789/106637 70 лет Владимиру Ивановичу Бабенко 24 декабря 2009 года исполнилось 70 лет видному ученому, доктору физико-математических наук, ведущему научному сотруднику ФТИНТ НАН Украины Владимиру Ивановичу Бабенко. 2010-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106636 On the Law of Addition of Random Matrices: Covariance of Traces of Resolvent for Random Summands Vasilchuk, V. We consider the ensemble of n£n random matrices Hn = An+U†n BnUn, where An and Bn are random Hermitian (real symmetric) matrices, having the limiting Normalized Counting Measures of eigenvalues, and Un is unitary (orthogonal) uniformly distributed over U(n) (O(n)). We find the leading term of the asymptotic expansion of covariance of traces of resolvent of Hn and establish the Central Limit Theorem for linear eigenvalue statistics of Hn as n → ∞. 2010-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106635 Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics Orudzhev, E.G. The system of four equations of Marchenko type allowing to restore the bundle by the scattering matrix is derived for a fourth order di®erential bundle in L₂ (0;+∞) in the case of multiple ±i roots of the main characteristic polynomial. The uniqueness of solution of the inverse problem is proved when the bundle has a pure continuous spectrum. 2010-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106634 On the Estimation of the Norms of Intermediate Derivatives in Some Abstract Spaces Mirzoev, S.S.; Veliev, S.G. The theorems on the exact estimates of norms of intermediate derivatives in some Sobolev type abstract spaces are obtained. The formulas for calculating the norms are given. 2010-01-01T00:00:00Z