http://dspace.nbuv.gov.ua:80/handle/123456789/169296 2026-04-18T16:20:19Z 2026-04-18T16:20:19Z Выговская, Л.В. http://dspace.nbuv.gov.ua:80/handle/123456789/169326 2020-06-10T22:26:30Z 2017-01-01T00:00:00Z

О проблеме В.Н. Дубинина для симметричных многосвязных областей Выговская, Л.В.

2017-01-01T00:00:00Z Trofymenko, O.D. http://dspace.nbuv.gov.ua:80/handle/123456789/169325 2020-06-10T22:26:29Z 2017-01-01T00:00:00Z

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 ∂ ̄.

2017-01-01T00:00:00Z Парфiнович, Н.В. http://dspace.nbuv.gov.ua:80/handle/123456789/169324 2020-06-10T22:26:27Z 2017-01-01T00:00:00Z

Нерiвностi Колмогорова для норм похiдних Рiсса функцiй багатьох змiнних Парфiнович, Н.В.

2017-01-01T00:00:00Z Mogilevskii, V.I. http://dspace.nbuv.gov.ua:80/handle/123456789/169323 2020-06-10T22:26:32Z 2017-01-01T00:00:00Z

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)}.

2017-01-01T00:00:00Z