http://dspace.nbuv.gov.ua:80/handle/123456789/169296 Sat, 18 Apr 2026 16:19:42 GMT 2026-04-18T16:19:42Z http://dspace.nbuv.gov.ua:80/bitstream/id/505928/ http://dspace.nbuv.gov.ua:80/handle/123456789/169296 http://dspace.nbuv.gov.ua:80/handle/123456789/169326 О проблеме В.Н. Дубинина для симметричных многосвязных областей Выговская, Л.В. Sun, 01 Jan 2017 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/169326 2017-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/169325 Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane Trofymenko, O.D. In terms of the Bessel functions we characterize smooth solutions of some convolution equations in the complex plane and prove a two-radius theorem for solutions of homogeneous linear elliptic equations with constant coefficients whose left hand side is representable in the form of the product of some non-negative integer powers of the complex differentiation operators ∂ and ∂ ̄. Sun, 01 Jan 2017 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/169325 2017-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/169324 Нерiвностi Колмогорова для норм похiдних Рiсса функцiй багатьох змiнних Парфiнович, Н.В. Sun, 01 Jan 2017 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/169324 2017-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/169323 Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index Mogilevskii, V.I. We consider first-order symmetric system Jy′ −A(t)y = λ∆(t)y with n×n-matrix coefficients defined on an interval [a, b) with the regular endpoint a. It is assumed that the deficiency indices N± of the system satisfies N− ≤ N+ = n. The main result is a parametrization of all pseudospectral functions σ(•) of any possible dimension nσ ≤ n by means of a Nevanlinna parameter τ = {C₀ (λ), C₁ (λ)}. Sun, 01 Jan 2017 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/169323 2017-01-01T00:00:00Z