33 citations · 234 across the 41 of their papers we have counts for
45 papers
Parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets, Jari Taskinen
We study a wide class of linear inhomogeneous boundary-value problems for th order ODE-systems depending on a parameter in a general metric space . The solutions…
Uniqueness problem for accretive Schrödinger operators with complex singular coefficients
Vladimir Mikhailets, Volodymyr Molyboga
This paper studies the uniqueness problem for the one-dimensional Schrödinger operator associated with the formal differential expression \begin{equation*} l[u] =-u''+qu + i[(ru)'+…
Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
Vladimir Mikhailets, Olena Atlasiuk
The paper contains a review of results on linear systems of ordinary differential equations of an arbitrary order on a finite interval with the most general inhomogeneous boundary…
Elliptic operators and boundary problems in spaces of generalized smoothness
V. A. Mikhailets, A. A. Murach, I. S. Chepurukhina
The paper contains a survey of the results obtained during the last ten years in the theory of elliptic boundary problems in Hörmander function spaces, developed by the authors, an…
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators
Vladimir Mikhailets, Aleksandr Murach
We study the most general class of eigenfunction expansions for abstract normal operators with pure point spectrum in a complex Hilbert space. We find sufficient conditions for suc…
The solvability of inhomogeneous boundary-value problems in Sobolev spaces
Vladimir Mikhailets, Olena Atlasiuk
The aim of the paper is to develop a general theory of solvability of linear inhomogeneous boundary-value problems for systems of ordinary differential equations of arbitrary order…