Mikhailets Volodymyr

@imath.kiev.ua

Laboratory of Partial Differential Equations, Head of laboratory
Institute of Mathematics of the National Academy of Sciences of Ukraine



                       

https://researchid.co/mikhailest

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Analysis, Mathematical Physics

2136

Scholar Citations

27

Scholar h-index

54

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
    O Atlasiuk, V Mikhailets, J Taskinen
    arXiv preprint arXiv:2512.21361 2025

  • On Continuity in a Parameter of Solutions to Generic Inhomogeneous Boundary-Value Problems in Sobolev Spaces
    V Mikhailets, O Atlasiuk
    REPORTS OF QUALITDE, 133 2025

  • Uniqueness problem for accretive Schr\"{o} dinger operators with complex singular coefficients
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:2512.03215 2025

  • Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces
    VA Mikhailets
    Karpatskie matematičeskie publikacii-Carpathian Mathematical Publications 17 2025

  • Elliptic operators and boundary-value problems in spaces of generalized smoothness
    V Mikhailets, A Murach, I Chepurukhina
    Ukrainian Mathematical Journal, 1-34 2025

  • An extended Hilbert scale and its applications
    V Mikhailets, A Murach, T Zinchenko
    Advances in Mathematics 465, 110155 2025

  • ODE-Systems with Boundary Inhomogeneous Conditions Containing Higher-Order Derivatives
    V Mikhailets, O Atlasiuk
    REPORTS OF QUALITDE 2024, 204 2024

  • Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
    V Mikhailets, O Atlasiuk
    arXiv preprint arXiv:2411.15330 2024

  • Elliptic operators and boundary problems in spaces of generalized smoothness
    VA Mikhailets, AA Murach, IS Chepurukhina
    arXiv preprint arXiv:2408.07610 2024

  • Unconditional convergence of eigenfunction expansions for abstract and elliptic operators
    V Mikhailets, A Murach
    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1-19 2024

  • The solvability of inhomogeneous boundary-value problems in Sobolev spaces
    V Mikhailets, O Atlasiuk
    Banach Journal of Mathematical Analysis 18 (2), 12 2024

  • A new look at old theorems of Fejr and Hardy
    V Mikhailets, A Murach, O Tsyhanok
    Results in Mathematics 79 (2), 88 2024

  • Еліптичні оператори і крайові задачі у просторах узагальненої гладкості
    В Михайлець, О Мурач, І Чепурухіна
    Ukrains’ kyi Matematychnyi Zhurnal 76 (9), 1331-1363 2024

  • Sturm–Liouville Operators with Strongly Singular Coefficients: Semi-Boundedness and Self-Adjointness
    V Mikhailets, A Goriunov, V Molyboga
    REPORTS OF QUALITDE 2023, 142 2023

  • Про розв'язність фредгольмових крайових задач у дробових просторах Соболєва
    VA Mikhailets, ОМ Atlasiuk, TB Skorobohach
    Ukrains’ kyi Matematychnyi Zhurnal 75 (1), 96-104 2023

  • On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces
    V Mikhailets, O Atlasiuk, T Skorobohach
    arXiv preprint arXiv:2211.08039 2022

  • Povzner–Wienholtz-type theorems for Sturm–Liouville operators with singular coefficients
    V Mikhailets, A Goriunov, V Molyboga
    Complex Analysis and Operator Theory 16 (8), 113 2022

  • On Solvability of Inhomogeneous Boundary-Value Problems in Fractional Sobolev Spaces
    V Mikhailets, T Skorobohach
    onthe Q ualitative T heoryof D ifferential E quations QUALITDE–2021, 140 2021

  • FREDHOLM BOUNDARY-VALUE PROBLEM IN SOBOLEV-SLOBODETSKY SPACES.
    VA Mikhailets, TB Skorobohach
    Ukrainian Mathematical Journal 73 (7), 1071-1084 2021

  • Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients
    A Goriunov, V Mikhailets, V Molyboga
    arXiv preprint arXiv:2110.11750 2021

MOST CITED SCHOLAR PUBLICATIONS

  • Hrmander spaces, interpolation, and elliptic problems
    VA Mikhailets, AA Murach
    Walter de Gruyter GmbH & Co KG 2014
    Citations: 150

  • The refined Sobolev scale, interpolation and elliptic problems
    VA Mikhailets, AA Murach
    Banach Journal of Mathematical Analysis 6 (2), 211-281 2012
    Citations: 109

  • Improved scales of spaces and elliptic boundary-value problems. II
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 58 (3), 398-417 2006
    Citations: 87

  • Interpolation with a function parameter and refined scale of spaces
    VA Mikhailets, AA Murach
    Methods Funct. Anal. Topology 14 (1), 81-100 2007
    Citations: 77

  • Regularization of singular Sturm-Liouville equations
    A Goriunov, V Mikhailets
    Methods Funct. Anal. Topology 16 (2), 120-130 2010
    Citations: 73

  • Interpolation Hilbert spaces between Sobolev spaces
    VA Mikhailets, AA Murach
    Results in Math. 67 (1-2), 135-152 2011
    Citations: 70

  • Elliptic boundary-value problem in a two-sided improved scale of spaces
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 60 (4), 574-597 2008
    Citations: 57

  • Solutions of one-dimensional boundary-value problems with a parameter in Sobolev spaces
    TI Kodliuk, VA Mikhailets
    Journal of Mathematical Sciences 190 (4), 589-599 2013
    Citations: 56

  • Formally self-adjoint quasi-differential operators and boundary value problems
    A Goriunov, V Mikhailets, K Pankrashkin
    Electron. J. Differential Equations 2013 (101), 1-16 2012
    Citations: 54

  • Fredholm boundary-value problems with parameter in Sobolev spaces
    EV Gnyp, TI Kodlyuk, VA Mikhailets
    Ukrainian Mathematical Journal 67 (5), 658-667 2015
    Citations: 52

  • Limit theorems for one-dimensional boundary-value problems
    TI Kodlyuk, VA Mikhailets, NV Reva
    Ukrainian Mathematical Journal 65 (1), 77-90 2013
    Citations: 52

  • Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 58 (11), 1748-1767 2006
    Citations: 50

  • Extended Sobolev scale and elliptic operators
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 65 (3), 435-447 2013
    Citations: 48

  • Limit theorems for general one-dimensional boundary-value problems
    VA Mikhailets, GA Chekhanova
    Journal of Mathematical Sciences 204 (3), 333-342 2015
    Citations: 47

  • Resolvent convergence of Sturm-Liouville operators with singular potentials
    A Goriunov, V Mikhailets
    arXiv preprint arXiv:1001.4160 2010
    Citations: 47

  • Continuity in a parameter of solutions to generic boundary-value problems
    VA Mikhailets, AA Murach, V Soldatov
    arXiv preprint arXiv:1604.07029 2016
    Citations: 46

  • Regularization of two-term differential equations with singular coefficients by quasiderivatives
    AS Goryunov, VA Mikhailets
    Ukrainian Mathematical Journal 63 (9), 1361-1378 2012
    Citations: 46

  • One-dimensional Schr\" odinger operators with singular periodic potentials
    V Mikhailets, V Molyboga
    Methods Funct. Anal. Topology 14 (2), 184-200 2008
    Citations: 44

  • Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces
    Y Hnyp, V Mikhailets, A Murach
    arXiv preprint arXiv:1704.03774 2017
    Citations: 43

  • Spectral gaps of the one-dimensional Schr\" odinger operators with singular periodic potentials
    V Mikhailets, V Molyboga
    Methods Funct. Anal. Topology 15 (1), 31-40 2008
    Citations: 40