http://dspace.nbuv.gov.ua:80/handle/123456789/151445 2026-04-05T17:19:38Z http://dspace.nbuv.gov.ua:80/handle/123456789/155007 Асимптотическое поведение произведений случайных матриц со значениями в разрешимой алгебре Ли Чани, А.С. The index of exponential growth is found for the products of random matrices with values on a solvable Lie algebra. The result is expressed via the eigenvalues of the terms. 1993-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/155006 О нелинейных эллиптических системах высокого порядка, положительных по первым производным Калита, Е.А. Divergent type elliptic systems with the natural energy space Wmp⋂Wlq are considered. It is proved that, under certain restrictions imposed on the modulus of ellipticity of the lower part of the system, the generalized solutions of the system are continuous according to Holder and the Liouville theorem holds. 1993-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/155005 О G-сходимости нелинейных эллиптических операторов, связанных с задачей Дирихле в переменных областях Ковалевский, А.А. A notion of G-convergence of operators As:Ws→W∗s to the operator A:W→W∗ is introduced and studied under certain connection conditions for the Banach spaces Ws,s=1,2,..., and the Banach space W. It has been established that the connection conditions for abstract space are satisfied by the Sobolev spaces W∘k,m(Ωs),W∘k,m(Ω) ({Ωs} is a sequence of perforated domains contained in a bounded domain Ω⊂ℝn). Hence, the results obtained for abstract operators can be applied to the operators of Dirichlet problems in the domains Ωs. 1993-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/154460 О квазиконформных отображениях с ограничениями по мере Рязанов, В.И. The principal result of the paper is a criterion of compactness for mappings quasiconformal in the mean. The semicontinuity of a deformation of homeomorphisms from the Sobolev class is also proved. 1993-01-01T00:00:00Z