Mikhailets Volodymyr

@imath.kiev.ua

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

Mikhailets Volodymyr


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https://researchid.co/mikhailest

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Analysis, Mathematical Physics
2151

Scholar Citations

27

Scholar h-index

58

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Matrix parabolic problems in Sobolev spaces of generalized smoothness
    V Los, V Mikhailets, A Murach
    arXiv preprint arXiv:2605.03967 , 2026
    2026
  • Parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
    O Atlasiuk, V Mikhailets, J Taskinen
    arXiv preprint arXiv:2512.21361 , 2025
    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
    2025
  • Uniqueness problem for accretive Schr\"{o} dinger operators with complex singular coefficients"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:2512.03215 , 2025
    2025
  • Unconditional convergence of eigenfunction expansions for abstract and elliptic operators
    V Mikhailets, A Murach
    Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155 (6 … , 2025
    2025
    Citations: 7
  • Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces
    VA Mikhailets
    Karpatskie matematičeskie publikacii-Carpathian Mathematical Publications 17 … , 2025
    2025
    Citations: 2
  • An extended Hilbert scale and its applications
    V Mikhailets, A Murach, T Zinchenko
    Advances in Mathematics 465, 110155 , 2025
    2025
    Citations: 3
  • Elliptic operators and boundary-value problems in spaces of generalized smoothness
    V Mikhailets, A Murach, I Chepurukhina
    Ukrainian Mathematical Journal 76 (9), 1503-1536 , 2025
    2025
    Citations: 5
  • ODE-Systems with Boundary Inhomogeneous Conditions Containing Higher-Order Derivatives
    V Mikhailets, O Atlasiuk
    REPORTS OF QUALITDE 2024, 204 , 2024
    2024
  • Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
    V Mikhailets, O Atlasiuk
    arXiv preprint arXiv:2411.15330 , 2024
    2024
    Citations: 4
  • Elliptic operators and boundary problems in spaces of generalized smoothness
    VA Mikhailets, AA Murach, IS Chepurukhina
    arXiv preprint arXiv:2408.07610 , 2024
    2024
  • The solvability of inhomogeneous boundary-value problems in Sobolev spaces
    V Mikhailets, O Atlasiuk
    Banach Journal of Mathematical Analysis 18 (2), 12 , 2024
    2024
    Citations: 11
  • A new look at old theorems of Fejér and Hardy
    V Mikhailets, A Murach, O Tsyhanok
    Results in Mathematics 79 (2), 88 , 2024
    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
    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
    2023
  • ПРО РОЗВ’ЯЗНIСТЬ ФРЕДГОЛЬМОВИХ КРАЙОВИХ ЗАДАЧ У ДРОБОВИХ ПРОСТОРАХ СОБОЛЄВА
    ВА Михайлець, ОМ Атласюк, ТБ Скоробогач
    Ukrains’ kyi Matematychnyi Zhurnal 75 (1), 96-104 , 2023
    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
    2022
    Citations: 7
  • 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
    2022
    Citations: 4
  • 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
    2021
    Citations: 1
  • FREDHOLM BOUNDARY-VALUE PROBLEM IN SOBOLEV-SLOBODETSKY SPACES.
    VA Mikhailets, TB Skorobohach
    Ukrainian Mathematical Journal 73 (7), 1071-1084 , 2021
    2021
    Citations: 8

MOST CITED SCHOLAR PUBLICATIONS

  • Hörmander spaces, interpolation, and elliptic problems
    VA Mikhailets, AA Murach
    Walter de Gruyter GmbH & Co KG , 2014
    2014
    Citations: 151
  • The refined Sobolev scale, interpolation and elliptic problems
    VA Mikhailets, AA Murach
    Banach Journal of Mathematical Analysis 6 (2), 211-281 , 2012
    2012
    Citations: 111
  • Improved scales of spaces and elliptic boundary-value problems. II
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 58 (3), 398-417 , 2006
    2006
    Citations: 90
  • Interpolation with a function parameter and refined scale of spaces
    VA Mikhailets, AA Murach
    Methods Funct. Anal. Topology 14 (1), 81-100 , 2007
    2007
    Citations: 79
  • Regularization of singular Sturm-Liouville equations
    A Goriunov, V Mikhailets
    Methods Funct. Anal. Topology 16 (2), 120-130 , 2010
    2010
    Citations: 74
  • Interpolation Hilbert spaces between Sobolev spaces
    VA Mikhailets, AA Murach
    Results in Math. 67 (1-2), 135-152 , 2011
    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
    2008
    Citations: 59
  • 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
    2012
    Citations: 53
  • 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
    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
    2006
    Citations: 52
  • Fredholm boundary-value problems with parameter in Sobolev spaces
    EV Gnyp, TI Kodlyuk, VA Mikhailets
    Ukrainian Mathematical Journal 67 (5), 658-667 , 2015
    2015
    Citations: 48
  • Resolvent convergence of Sturm-Liouville operators with singular potentials
    A Goriunov, V Mikhailets
    arXiv preprint arXiv:1001.4160 , 2010
    2010
    Citations: 47
  • Extended Sobolev scale and elliptic operators
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 65 (3), 435-447 , 2013
    2013
    Citations: 46
  • Limit theorems for one-dimensional boundary-value problems
    TI Kodlyuk, VA Mikhailets, NV Reva
    Ukrainian Mathematical Journal 65 (1), 77-90 , 2013
    2013
    Citations: 46
  • Limit theorems for general one-dimensional boundary-value problems
    VA Mikhailets, GA Chekhanova
    Journal of Mathematical Sciences 204 (3), 333-342 , 2015
    2015
    Citations: 45
  • Continuity in a parameter of solutions to generic boundary-value problems
    VA Mikhailets, AA Murach, V Soldatov
    arXiv preprint arXiv:1604.07029 , 2016
    2016
    Citations: 43
  • Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces
    Y Hnyp, V Mikhailets, A Murach
    arXiv preprint arXiv:1704.03774 , 2017
    2017
    Citations: 42
  • One-dimensional Schr\" odinger operators with singular periodic potentials"
    V Mikhailets, V Molyboga
    Methods Funct. Anal. Topology 14 (2), 184-200 , 2008
    2008
    Citations: 42
  • Elliptic operators in the improved scale of functional spaces
    VA Mikhailets, AA Murach
    Ukr. Mat. Zh. 57 (5), 689-696 , 2005
    2005
    Citations: 41
  • Regularization of two-term differential equations with singular coefficients by quasiderivatives
    AS Goryunov, VA Mikhailets
    Ukrainian Mathematical Journal 63 (9), 1361-1378 , 2012
    2012
    Citations: 37