Sturm–Liouville Operators with Strongly Singular Coefficients: Semi-Boundedness and Self-AdjointnessV Mikhailets, A Goriunov, V MolybogaREPORTS OF QUALITDE 2023, 142 2023
Povzner–Wienholtz-type theorems for Sturm–Liouville operators with singular coefficientsV Mikhailets, A Goriunov, V MolybogaComplex Analysis and Operator Theory 16 (8), 113 2022
Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficientsA Goriunov, V Mikhailets, V MolybogaarXiv preprint arXiv:2110.11750 2021
Schr\" odinger operators with measure-valued potentials: semiboundedness and spectrumV Mikhailets, V MolybogaarXiv preprint arXiv:1810.06363 2018
Про лакуни в спектрі оператора Хілла–Шредінгера з сингулярним потенціаломVA Mikhailets, VM MolybogaReports of the National Academy of Sciences of Ukraine, 3-8 2018
Spectral gaps of the Hill--Schr\" odinger operators with distributional potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:1501.00712 2015
Операторы Шредингера с матричными потенциалами-распределениямиВМ МолибогаУкраїнський математичний журнал, 657–671-657–671 2015
Estimates for Periodic Eigenvalues of the Differential Operator with V -- DistributionV MolybogaarXiv preprint arXiv:1403.2627 2014
Uniform estimates for the semi-periodic eigenvalues of the singular differential operatorsV Mikhailets, V MolybogaarXiv preprint arXiv:1403.2655 2014
Singular eigenvalue problems on the circleV Mikhailets, V MolybogaarXiv preprint arXiv:1403.2643 2014
Remarks on Schr\" odinger operators with singular matrix potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:1306.0439 2013
Schr\" odinger operators with complex singular potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:1306.0435 2013
Operator Theory: Advances and Applications, Vol. 221, 469-479 2012 Springer BaselV Mikhailets, V MolybogaSpectral Theory, Mathematical System Theory, Evolution Equations 2012
Smoothness of Hill’s potential and lengths of spectral gapsV Mikhailets, V MolybogaSpectral Theory, Mathematical System Theory, Evolution Equations 2012
On the spectrum of singular perturbations of operators on the circle.V Mikhailets, V MolybogaMathematical Notes 91 2012
Forbidden zones of the Hill-Schrdinger operators with distributions as potentialsV MolybogaInternational Conference Dedicated to 120th Anniversary of Stefan Banach 2012
Smoothness of Hill's potential and lengths of spectral gapsV Mikhailets, V MolybogaarXiv preprint arXiv:1003.5000 2010
Hill's potentials in H\" ormander spaces and their spectral gapsV Mikhailets, V MolybogaarXiv preprint arXiv:0905.4655 2009
Spectral gaps of the one-dimensional Schr\" odinger operators with singular periodic potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:0805.2136 2008
One-dimensional Schr\" odinger operators with singular periodic potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:0805.1000 2008
MOST CITED SCHOLAR PUBLICATIONS
One-dimensional Schr\" odinger operators with singular periodic potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:0805.1000 2008Citations: 38
Spectral gaps of the one-dimensional Schr\" odinger operators with singular periodic potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:0805.2136 2008Citations: 34
Uniform estimates for the semi-periodic eigenvalues of the singular differential operatorsV Mikhailets, V MolybogaarXiv preprint arXiv:1403.2655 2014Citations: 27
Singular eigenvalue problems on the circleV Mikhailets, V MolybogaarXiv preprint arXiv:1403.2643 2014Citations: 27
Singularly perturbed periodic and semiperiodic differential operatorsVA Mikhailets, VM MolybogaarXiv preprint arXiv:0705.3045 2007Citations: 21
On the spectrum of singular perturbations of operators on the circle.V Mikhailets, V MolybogaMathematical Notes 91 2012Citations: 20
Hill's potentials in H\" ormander spaces and their spectral gapsV Mikhailets, V MolybogaarXiv preprint arXiv:0905.4655 2009Citations: 18
Smoothness of Hill’s potential and lengths of spectral gapsV Mikhailets, V MolybogaSpectral Theory, Mathematical System Theory, Evolution Equations 2012Citations: 16
Estimates for periodic eigenvalues of the differential operator (-1)^ md^ 2mdx^ 2m+ V with V-distributionV MolybogaMethods of Functional Analysis and Topology 9 (02), 163-178 2003Citations: 16
Remarks on Schr\" odinger operators with singular matrix potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:1306.0439 2013Citations: 9
Schr\" odinger operators with complex singular potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:1306.0435 2013Citations: 7
The spectral problems over the periodic classes of distributionsV Mikhailets, V MolybogaPreprint, Institute of Mathematics of NAS of Ukraine, Kyiv 2004Citations: 6
Perturbation of periodic and semiperiodic operators by Schwartz distributionsVA Mikhailets, VM MolybogaRepts NAS Ukraine.–2006.–7.–P, 26-31 2006Citations: 5
Schr\" odinger operators with measure-valued potentials: semiboundedness and spectrumV Mikhailets, V MolybogaarXiv preprint arXiv:1810.06363 2018Citations: 4
Spectral gaps of the Hill--Schr\" odinger operators with distributional potentialsV Mikhailets, V MolybogaarXiv preprint arXiv:1501.00712 2015Citations: 2
Povzner–Wienholtz-type theorems for Sturm–Liouville operators with singular coefficientsV Mikhailets, A Goriunov, V MolybogaComplex Analysis and Operator Theory 16 (8), 113 2022Citations: 1
