http://dspace.nbuv.gov.ua:80/handle/123456789/106560 Sun, 19 Apr 2026 00:29:49 GMT 2026-04-19T00:29:49Z http://dspace.nbuv.gov.ua:80/bitstream/id/317199/ http://dspace.nbuv.gov.ua:80/handle/123456789/106560 http://dspace.nbuv.gov.ua:80/handle/123456789/106623 75 лет Юрию Ильичу Любичу 22 апреля исполнилось 75 лег со дня рождения выдающегося математика. Юрия Ильича Любича. Вся жизнь Юрия Ильича — это постоянное математическое -творчество в разнообразных направленных классического и функционального анализа, алгебры и современной математической генетики. Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106623 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106622 Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 Mel'nyk, T.A.; Vashchuk, P.S. We consider a mixed boundary-value problem for the Poisson equation in a two-level junction " which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the thin cylinders from each level are ε-periodically alternated. The nonuniform Neumann conditions are given on the lateral sides of the thin cylinders from the rst level and the uniform Fourier conditions are given on the lateral sides of the thin cylinders from the second level. We study the asymptotic behavior of the solution as ε → 0: The convergence theorem and the convergence of the energy integral are proved. Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106622 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106621 On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory Khrabustovsky, V.I. Special maximal semi-definite subspaces (maximal dissipative and accumulative relations) are considered. Particular cases of those arise in studying boundary problems for systems mentioned in the title. We provide a description of such subspaces and list their properties. A criterion is found that condition of semi-definiteness of sum of indefinite quadratic forms reduces to semi-definiteness of each of the summand forms, i.e it is separated. In the case when the forms depend on a parameter λ (e.g., a spectral parameter) within a domain Λ is in C, a condition is found under which separation of the semi-definiteness property at a single λ implies its separation for all λ. Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106621 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106620 On the Sine-Gordon Equation with a Self-Consistent Source of the Integral Type Khasanov, A.B.; Urazboev, G.U. It is shown that the solutions of the Sine Gordon equation with a source of the integral type can be found by the method of the inverse scattering problem for the Dirac type operator on the real line. Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106620 2006-01-01T00:00:00Z