Volodymyr Molyboga

@imath.kiev.ua

Laboratory of Partial Differential Equations
Institute of Mathematics of NAS of Ukraine

Volodymyr Molyboga


                  Download Compact PDF  
https://researchid.co/vol.molyboga

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics
6

Scopus Publications

277

Scholar Citations

10

Scholar h-index

11

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Uniqueness problem for accretive Schr\"{o} dinger operators with complex singular coefficients"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:2512.03215 , 2025
    2025
  • 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
  • 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
  • Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients
    A Goriunov, V Mikhailets, V Molyboga
    arXiv preprint arXiv:2110.11750 , 2021
    2021
  • Schr\" odinger operators with measure-valued potentials: semiboundedness and spectrum"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1810.06363 , 2018
    2018
    Citations: 7
  • Про лакуни в спектрі оператора Хілла–Шредінгера з сингулярним потенціалом
    ВА Михайлець, ВМ Молибога
    Reports of the National Academy of Sciences of Ukraine, 3-8 , 2018
    2018
  • Spectral gaps of the Hill--Schr\" odinger operators with distributional potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1501.00712 , 2015
    2015
    Citations: 4
  • Операторы Шредингера с матричными потенциалами-распределениями
    ВМ Молибога
    Український математичний журнал, 657–671-657–671 , 2015
    2015
  • Estimates for Periodic Eigenvalues of the Differential Operator with V -- Distribution
    V Molyboga
    arXiv preprint arXiv:1403.2627 , 2014
    2014
  • Uniform estimates for the semi-periodic eigenvalues of the singular differential operators
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2655 , 2014
    2014
    Citations: 29
  • Singular eigenvalue problems on the circle
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2643 , 2014
    2014
    Citations: 31
  • Remarks on Schr\" odinger operators with singular matrix potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0439 , 2013
    2013
    Citations: 12
  • Schr\" odinger operators with complex singular potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0435 , 2013
    2013
    Citations: 10
  • Smoothness of Hill’s potential and lengths of spectral gaps
    V Mikhailets, V Molyboga
    Spectral Theory, Mathematical System Theory, Evolution Equations … , 2012
    2012
    Citations: 14
  • On the spectrum of singular perturbations of operators on the circle.
    V Mikhailets, V Molyboga
    Mathematical Notes 91 , 2012
    2012
    Citations: 21
  • Forbidden zones of the Hill-Schrödinger operators with distributions as potentials
    V Molyboga
    International Conference Dedicated to 120th Anniversary of Stefan Banach , 2012
    2012
  • Smoothness of Hill's potential and lengths of spectral gaps
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1003.5000 , 2010
    2010
  • Hill's potentials in H\" ormander spaces and their spectral gaps"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0905.4655 , 2009
    2009
    Citations: 14
  • Spectral gaps of the one-dimensional Schr\" odinger operators with singular periodic potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.2136 , 2008
    2008
    Citations: 37
  • One-dimensional Schr\" odinger operators with singular periodic potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.1000 , 2008
    2008
    Citations: 42

MOST CITED SCHOLAR PUBLICATIONS

  • One-dimensional Schr\" odinger operators with singular periodic potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.1000 , 2008
    2008
    Citations: 42
  • Spectral gaps of the one-dimensional Schr\" odinger operators with singular periodic potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.2136 , 2008
    2008
    Citations: 37
  • Singular eigenvalue problems on the circle
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2643 , 2014
    2014
    Citations: 31
  • Uniform estimates for the semi-periodic eigenvalues of the singular differential operators
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2655 , 2014
    2014
    Citations: 29
  • Singularly perturbed periodic and semiperiodic differential operators
    VA Mikhailets, VM Molyboga
    arXiv preprint arXiv:0705.3045 , 2007
    2007
    Citations: 23
  • On the spectrum of singular perturbations of operators on the circle.
    V Mikhailets, V Molyboga
    Mathematical Notes 91 , 2012
    2012
    Citations: 21
  • Estimates for periodic eigenvalues of the differential operator (-1)^ md^ 2mdx^ 2m+ V with V-distribution
    V Molyboga
    Methods of Functional Analysis and Topology 9 (02), 163-178 , 2003
    2003
    Citations: 18
  • Smoothness of Hill’s potential and lengths of spectral gaps
    V Mikhailets, V Molyboga
    Spectral Theory, Mathematical System Theory, Evolution Equations … , 2012
    2012
    Citations: 14
  • Hill's potentials in H\" ormander spaces and their spectral gaps"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0905.4655 , 2009
    2009
    Citations: 14
  • Remarks on Schr\" odinger operators with singular matrix potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0439 , 2013
    2013
    Citations: 12
  • Schr\" odinger operators with complex singular potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0435 , 2013
    2013
    Citations: 10
  • Schr\" odinger operators with measure-valued potentials: semiboundedness and spectrum"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1810.06363 , 2018
    2018
    Citations: 7
  • The spectral problems over the periodic classes of distributions
    V Mikhailets, V Molyboga
    Preprint, Institute of Mathematics of NAS of Ukraine, Kyiv , 2004
    2004
    Citations: 6
  • The perturbation of periodic and semiperiodic operators by Schwartz distributions
    VA Mikhailets, VM Molyboga
    Repts NAS Ukraine.–2006.–7.–P, 26-31 , 2006
    2006
    Citations: 5
  • 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
  • Spectral gaps of the Hill--Schr\" odinger operators with distributional potentials"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1501.00712 , 2015
    2015
    Citations: 4
  • Uniqueness problem for accretive Schr\"{o} dinger operators with complex singular coefficients"
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:2512.03215 , 2025
    2025
  • 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
  • Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients
    A Goriunov, V Mikhailets, V Molyboga
    arXiv preprint arXiv:2110.11750 , 2021
    2021
  • Про лакуни в спектрі оператора Хілла–Шредінгера з сингулярним потенціалом
    ВА Михайлець, ВМ Молибога
    Reports of the National Academy of Sciences of Ukraine, 3-8 , 2018
    2018