Volodymyr Molyboga

@imath.kiev.ua

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



                 

https://researchid.co/vol.molyboga

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics

6

Scopus Publications

258

Scholar Citations

9

Scholar h-index

9

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

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

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

  • Schr\" odinger operators with measure-valued potentials: semiboundedness and spectrum
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1810.06363 2018

  • Про лакуни в спектрі оператора Хілла–Шредінгера з сингулярним потенціалом
    VA Mikhailets, VM Molyboga
    Reports of the National Academy of Sciences of Ukraine, 3-8 2018

  • Spectral gaps of the Hill--Schr\" odinger operators with distributional potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1501.00712 2015

  • Операторы Шредингера с матричными потенциалами-распределениями
    ВМ Молибога
    Український математичний журнал, 657–671-657–671 2015

  • Estimates for Periodic Eigenvalues of the Differential Operator with V -- Distribution
    V Molyboga
    arXiv preprint arXiv:1403.2627 2014

  • Uniform estimates for the semi-periodic eigenvalues of the singular differential operators
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2655 2014

  • Singular eigenvalue problems on the circle
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2643 2014

  • Remarks on Schr\" odinger operators with singular matrix potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0439 2013

  • Schr\" odinger operators with complex singular potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0435 2013

  • Operator Theory: Advances and Applications, Vol. 221, 469-479 2012 Springer Basel
    V Mikhailets, V Molyboga
    Spectral Theory, Mathematical System Theory, Evolution Equations 2012

  • Smoothness of Hill’s potential and lengths of spectral gaps
    V Mikhailets, V Molyboga
    Spectral Theory, Mathematical System Theory, Evolution Equations 2012

  • On the spectrum of singular perturbations of operators on the circle.
    V Mikhailets, V Molyboga
    Mathematical Notes 91 2012

  • Forbidden zones of the Hill-Schrdinger operators with distributions as potentials
    V Molyboga
    International Conference Dedicated to 120th Anniversary of Stefan Banach 2012

  • Smoothness of Hill's potential and lengths of spectral gaps
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1003.5000 2010

  • Hill's potentials in H\" ormander spaces and their spectral gaps
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0905.4655 2009

  • Spectral gaps of the one-dimensional Schr\" odinger operators with singular periodic potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.2136 2008

  • One-dimensional Schr\" odinger operators with singular periodic potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.1000 2008

MOST CITED SCHOLAR PUBLICATIONS

  • One-dimensional Schr\" odinger operators with singular periodic potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.1000 2008
    Citations: 39

  • Spectral gaps of the one-dimensional Schr\" odinger operators with singular periodic potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0805.2136 2008
    Citations: 36

  • Singular eigenvalue problems on the circle
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2643 2014
    Citations: 28

  • Uniform estimates for the semi-periodic eigenvalues of the singular differential operators
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1403.2655 2014
    Citations: 27

  • On the spectrum of singular perturbations of operators on the circle.
    V Mikhailets, V Molyboga
    Mathematical Notes 91 2012
    Citations: 22

  • Singularly perturbed periodic and semiperiodic differential operators
    VA Mikhailets, VM Molyboga
    arXiv preprint arXiv:0705.3045 2007
    Citations: 22

  • Hill's potentials in H\" ormander spaces and their spectral gaps
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:0905.4655 2009
    Citations: 18

  • Smoothness of Hill’s potential and lengths of spectral gaps
    V Mikhailets, V Molyboga
    Spectral Theory, Mathematical System Theory, Evolution Equations 2012
    Citations: 16

  • 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
    Citations: 16

  • Remarks on Schr\" odinger operators with singular matrix potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0439 2013
    Citations: 9

  • Schr\" odinger operators with complex singular potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1306.0435 2013
    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
    Citations: 6

  • Perturbation of periodic and semiperiodic operators by Schwartz distributions
    VA Mikhailets, VM Molyboga
    Repts NAS Ukraine.–2006.–7.–P, 26-31 2006
    Citations: 5

  • Schr\" odinger operators with measure-valued potentials: semiboundedness and spectrum
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1810.06363 2018
    Citations: 4

  • Spectral gaps of the Hill--Schr\" odinger operators with distributional potentials
    V Mikhailets, V Molyboga
    arXiv preprint arXiv:1501.00712 2015
    Citations: 2

  • 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
    Citations: 1