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

1872

Scholar Citations

27

Scholar h-index

51

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

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

  • Еліптичні оператори і крайові задачі у просторах узагальненої гладкості
    V Mikhailets, A Murach, I Chepurukhina
    Ukrains’ kyi Matematychnyi Zhurnal 76 (9), 1331-1363 2024

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

  • 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 2023

  • 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

  • Parabolic boundary-value problems and generalized Sobolev spaces
    VM Los, VA Mikhailets, AA Murach
    arXiv preprint arXiv:2109.03566 2021

  • Фредгольмові крайові задачі в просторах Соболєва–Слободецького
    VA Mikhailets, TB Skorobohach
    Ukrains’ kyi Matematychnyi Zhurnal 73 (7), 920-930 2021

  • An extended Hilbert scale and its applications
    V Mikhailets, A Murach, T Zinchenko
    arXiv preprint arXiv:2102.08089 2021

  • On differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
    O Atlasiuk, V Mikhailets
    Generalized Functions Online Workshop, 37-47 2021

  • Фредгольмовi крайові задачі з параметром у просторах Соболєва—Слободецького
    ВА Михайлець, ТБ Скоробогач
    Доповіді НАН України 2021

  • On Generic Inhomogeneous Boundary-Value Problems for Differential Systems in Sobolev spaces
    O Atlasiuk, V Mikhailets
    D ifferential E quations QUALITDE–2020, 22 2020

  • Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces
    O Atlasiuk, V Mikhailets
    arXiv preprint arXiv:2005.03494 2020

MOST CITED SCHOLAR PUBLICATIONS

  • Hrmander spaces, interpolation, and elliptic problems
    VA Mikhailets, AA Murach
    Walter de Gruyter GmbH & Co KG 2014
    Citations: 126

  • The refined Sobolev scale, interpolation and elliptic problems
    VA Mikhailets, AA Murach
    Banach Journal of Mathematical Analysis 6 (2), 211-281 2012
    Citations: 101

  • Improved scales of spaces and elliptic boundary-value problems. II
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 58 (3), 398-417 2006
    Citations: 80

  • Interpolation with a function parameter and refined scale of spaces
    VA Mikhailets, AA Murach
    Methods Funct. Anal. Topology 14 (1), 81-100 2007
    Citations: 73

  • Interpolation Hilbert spaces between Sobolev spaces
    VA Mikhailets, AA Murach
    Results in Math. 67 (1-2), 135-152 2011
    Citations: 62

  • Regularization of singular Sturm-Liouville equations
    A Goriunov, V Mikhailets
    Methods Funct. Anal. Topology 16 (2), 120-130 2010
    Citations: 62

  • 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: 56

  • 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: 49

  • Limit theorems for one-dimensional boundary-value problems
    TI Kodlyuk, VA Mikhailets, NV Reva
    Ukrainian Mathematical Journal 65, 77-90 2013
    Citations: 47

  • 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: 47

  • 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: 46

  • Fredholm boundary-value problems with parameter in Sobolev spaces
    EV Gnyp, TI Kodlyuk, VA Mikhailets
    Ukrainian Mathematical Journal 67, 658-667 2015
    Citations: 42

  • Extended Sobolev scale and elliptic operators
    VA Mikhailets, AA Murach
    Ukrainian Mathematical Journal 65 (3), 435-447 2013
    Citations: 41

  • Limit theorems for general one-dimensional boundary-value problems
    VA Mikhailets, GA Chekhanova
    Journal of Mathematical Sciences 204, 333-342 2015
    Citations: 40

  • Resolvent convergence of Sturm-Liouville operators with singular potentials
    A Goriunov, V Mikhailets
    arXiv preprint arXiv:1001.4160 2010
    Citations: 40

  • Regularization of two-term differential equations with singular coefficients by quasiderivatives
    AS Goryunov, VA Mikhailets
    Ukrainian Mathematical Journal 63 (9), 1361-1378 2012
    Citations: 39

  • One-dimensional Schr\" odinger operators with singular periodic potentials
    V Mikhailets, V Molyboga
    Methods Funct. Anal. Topology 14 (2), 184-200 2008
    Citations: 38

  • Elliptic operators in the improved scale of functional spaces
    VA Mikhailets, AA Murach
    Ukr. Mat. Zh. 57 (5), 689-696 2005
    Citations: 38

  • Continuity in a parameter of solutions to generic boundary-value problems
    VA Mikhailets, AA Murach, V Soldatov
    arXiv preprint arXiv:1604.07029 2016
    Citations: 37

  • Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces
    Y Hnyp, V Mikhailets, A Murach
    arXiv preprint arXiv:1704.03774 2017
    Citations: 35