Mikhailets, Vladimir; Goriunov, Andrii; Molyboga, Volodymyr Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients. (English) Zbl 1509.34095 Complex Anal. Oper. Theory 16, No. 8, Paper No. 113, 13 p. (2022). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34L40 34B24 47B25 47E05 PDFBibTeX XMLCite \textit{V. Mikhailets} et al., Complex Anal. Oper. Theory 16, No. 8, Paper No. 113, 13 p. (2022; Zbl 1509.34095) Full Text: DOI arXiv
Mikhailets, Vladimir; Molyboga, Volodymyr Schrödinger operators with measure-valued potentials: semiboundedness and spectrum. (English) Zbl 1424.34306 Methods Funct. Anal. Topol. 24, No. 3, 240-254 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 34L40 47E05 34L05 34L15 PDFBibTeX XMLCite \textit{V. Mikhailets} and \textit{V. Molyboga}, Methods Funct. Anal. Topol. 24, No. 3, 240--254 (2018; Zbl 1424.34306) Full Text: arXiv Link
Mikhaĭlets, V. A.; Molyboga, V. M. On spectral gaps of the Hill-Schrödinger operator with singular potential. (Russian. English summary) Zbl 1413.47052 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 10, 3-8 (2018). MSC: 47B38 46E35 PDFBibTeX XMLCite \textit{V. A. Mikhaĭlets} and \textit{V. M. Molyboga}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 10, 3--8 (2018; Zbl 1413.47052) Full Text: DOI OA License
Molyboga, V. M. On root functions of fractional Schrödinger operator with singular potential. (Ukrainian. English summary) Zbl 1374.34358 Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 1, 244-255 (2016). MSC: 34L40 34L10 PDFBibTeX XMLCite \textit{V. M. Molyboga}, Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 1, 244--255 (2016; Zbl 1374.34358)
Moliboga, V. N. Schrödinger operators with distributional matrix potentials. (English. Ukrainian original) Zbl 1353.47086 Ukr. Math. J. 67, No. 5, 748-763 (2015); translation from Ukr. Mat. Zh. 67, No. 5, 657-671 (2015). MSC: 47E05 34L40 PDFBibTeX XMLCite \textit{V. N. Moliboga}, Ukr. Math. J. 67, No. 5, 748--763 (2015; Zbl 1353.47086); translation from Ukr. Mat. Zh. 67, No. 5, 657--671 (2015) Full Text: DOI
Molyboga, V. M. Singular perturbations of fractionally-differential operators on the circle. (Ukrainian. English summary) Zbl 1340.47068 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 2, 291-306 (2015). MSC: 47B38 47A55 47A10 46E35 PDFBibTeX XMLCite \textit{V. M. Molyboga}, Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 2, 291--306 (2015; Zbl 1340.47068)
Mikhailets, Vladimir; Molyboga, Volodymyr Spectral gaps of the Hill-Schrödinger operators with distributional potentials. (English) Zbl 1324.47080 Methods Funct. Anal. Topol. 20, No. 4, 321-327 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 47A75 34L40 PDFBibTeX XMLCite \textit{V. Mikhailets} and \textit{V. Molyboga}, Methods Funct. Anal. Topol. 20, No. 4, 321--327 (2014; Zbl 1324.47080) Full Text: arXiv
Molyboga, V. N. On roundedness of solutions of Hill’s equation with potential-distribution. (Russian. English summary) Zbl 1313.47096 Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 2, 274-283 (2014). MSC: 47E05 34L40 47A75 PDFBibTeX XMLCite \textit{V. N. Molyboga}, Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 2, 274--283 (2014; Zbl 1313.47096)
Molyboga, V. N. Characterization of gaps in the spectrum of the Hill operator with distributional potential. (Ukrainian. English summary) Zbl 1289.34240 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 248-259 (2013). MSC: 34L40 47A10 34L05 47A75 PDFBibTeX XMLCite \textit{V. N. Molyboga}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 248--259 (2013; Zbl 1289.34240)
Mikhailets, Vladimir; Molyboga, Volodymyr Remarks on Schrödinger operators with singular matrix potentials. (English) Zbl 1289.34239 Methods Funct. Anal. Topol. 19, No. 2, 161-167 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 34L40 47B44 47E05 PDFBibTeX XMLCite \textit{V. Mikhailets} and \textit{V. Molyboga}, Methods Funct. Anal. Topol. 19, No. 2, 161--167 (2013; Zbl 1289.34239) Full Text: arXiv
Mikhailets, Vladimir; Molyboga, Volodymyr Schrödinger operators with complex singular potentials. (English) Zbl 1289.47093 Methods Funct. Anal. Topol. 19, No. 1, 16-28 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 47A55 81Q10 34L40 PDFBibTeX XMLCite \textit{V. Mikhailets} and \textit{V. Molyboga}, Methods Funct. Anal. Topol. 19, No. 1, 16--28 (2013; Zbl 1289.47093) Full Text: arXiv
Mikhailets, V. A.; Molyboga, V. On the spectrum of singular perturbations of operators on the circle. (English. Russian original) Zbl 1283.47042 Math. Notes 91, No. 4, 588-591 (2012); translation from Mat. Zametki 91, No. 4, 629-932 (2012). Reviewer: Humberto Rafeiro (Bogotá) MSC: 47B38 47A55 47A10 46E35 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{V. Molyboga}, Math. Notes 91, No. 4, 588--591 (2012; Zbl 1283.47042); translation from Mat. Zametki 91, No. 4, 629--932 (2012) Full Text: DOI
Mikhailets, Vladimir; Molyboga, Volodymyr Smoothness of Hill’s potential and lengths of spectral gaps. (English) Zbl 1270.34199 Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 469-479 (2012). Reviewer: Roger A. Nichols (Chattanooga) MSC: 34L40 47A10 34L05 47A75 PDFBibTeX XMLCite \textit{V. Mikhailets} and \textit{V. Molyboga}, Oper. Theory: Adv. Appl. 221, 469--479 (2012; Zbl 1270.34199) Full Text: DOI arXiv
Mikhailets, V. A.; Molyboga, V. M. Hill’s potentials in Hörmander spaces and their spectral gaps. (English) Zbl 1249.47028 Methods Funct. Anal. Topol. 17, No. 3, 235-243 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 34L40 47A75 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{V. M. Molyboga}, Methods Funct. Anal. Topol. 17, No. 3, 235--243 (2011; Zbl 1249.47028) Full Text: arXiv
Mikhailets, V. A.; Molyboga, V. M. On the spectrum of singular perturbations of semi-periodic operators. (Russian. English summary) Zbl 1249.34248 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 11, 36-43 (2011). MSC: 34L05 34L20 47E05 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{V. M. Molyboga}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 11, 36--43 (2011; Zbl 1249.34248)
Molyboga, V. M. Completeness of the root vector systems of some non-selfadjoint operators. (Ukrainian. English summary) Zbl 1223.47047 Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 1, 128-144 (2010). MSC: 47E05 34L40 PDFBibTeX XMLCite \textit{V. M. Molyboga}, Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 1, 128--144 (2010; Zbl 1223.47047)
Molyboga, V. Completeness of the root vector system of the two-terms non-selfadjoint differential operators of an even order with periodic distribution potentials. (English) Zbl 1221.47084 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 3, 68-73 (2010). MSC: 47E05 34L40 PDFBibTeX XMLCite \textit{V. Molyboga}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 3, 68--73 (2010; Zbl 1221.47084)
Mikhajlets, V. A.; Molyboga, V. N. Oscillation properties of solutions of the Sturm-Liouville problem with a singular coefficient. (Russian. English summary) Zbl 1240.34178 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 8, 20-24 (2010). MSC: 34C10 34B24 34B16 34L15 PDFBibTeX XMLCite \textit{V. A. Mikhajlets} and \textit{V. N. Molyboga}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 8, 20--24 (2010; Zbl 1240.34178)
Mikhailets, Vladimir; Molyboga, Volodymyr Spectral gaps of one-dimensional Schrödinger operators with singular periodic potentials. (English) Zbl 1199.34453 Methods Funct. Anal. Topol. 15, No. 1, 31-40 (2009). Reviewer: A. N. Kochubei (Kyïv) MSC: 34L15 34L05 34L40 47E05 PDFBibTeX XMLCite \textit{V. Mikhailets} and \textit{V. Molyboga}, Methods Funct. Anal. Topol. 15, No. 1, 31--40 (2009; Zbl 1199.34453) Full Text: arXiv
Mikhailets, Vladimir; Molyboga, Volodymyr One-dimensional Schrödinger operators with singular periodic potentials. (English) Zbl 1164.47047 Methods Funct. Anal. Topol. 14, No. 2, 184-200 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 34L40 34L05 PDFBibTeX XMLCite \textit{V. Mikhailets} and \textit{V. Molyboga}, Methods Funct. Anal. Topol. 14, No. 2, 184--200 (2008; Zbl 1164.47047) Full Text: arXiv
Mikhailets, V. A.; Molyboga, V. M. Singularly perturbed periodic and semiperiodic differential operators. (English) Zbl 1150.47032 Ukr. Mat. Zh. 59, No. 6, 785-797 (2007) and in Ukr. Math. J. 59, No. 6, 858-873 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 34L40 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{V. M. Molyboga}, Ukr. Mat. Zh. 59, No. 6, 785--797 (2007; Zbl 1150.47032) Full Text: DOI arXiv Link
Mikhajlets, V. A.; Molyboga, V. N. Perturbation of periodic and semiperiodic operators by the Schwartz distribution. (Russian. English summary) Zbl 1125.47304 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 7, 26-31 (2006). MSC: 47A55 PDFBibTeX XMLCite \textit{V. A. Mikhajlets} and \textit{V. N. Molyboga}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 7, 26--31 (2006; Zbl 1125.47304)
Melnikov, A. V.; Moliboga, M. M.; Skornyakova, V. S. Valuation of flexible insurance contracts. (English) Zbl 1117.62116 Teor. Jmovirn. Mat. Stat. 73, 97-103 (2005) and Theory Probab. Math. Stat., Vol 73, 109-115 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 62P05 91B30 91B28 60H30 PDFBibTeX XMLCite \textit{A. V. Melnikov} et al., Teor. Ĭmovirn. Mat. Stat. 73, 97--103 (2005; Zbl 1117.62116) Full Text: Link
Mikhailets, V. A.; Molyboga, V. M. Uniform estimates for the semi-periodic eigenvalues of singular differential operators. (English) Zbl 1072.34097 Methods Funct. Anal. Topol. 10, No. 4, 30-57 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 34L20 47E05 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{V. M. Molyboga}, Methods Funct. Anal. Topol. 10, No. 4, 30--57 (2004; Zbl 1072.34097) Full Text: arXiv
Mikhailets, Volodymyr A.; Molyboga, Volodymyr M. Singular eigenvalue problems on the circle. (English) Zbl 1077.47049 Methods Funct. Anal. Topol. 10, No. 3, 44-53 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 47E05 34L15 34L20 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{V. M. Molyboga}, Methods Funct. Anal. Topol. 10, No. 3, 44--53 (2004; Zbl 1077.47049) Full Text: arXiv
Molyboga, Volodymyr Estimates for periodic eigenvalues of the differential operator \((-1)^md^{2m}/dx^{2m}+V\) where \(V\) is a distribution. (English) Zbl 1042.34108 Methods Funct. Anal. Topol. 9, No. 2, 163-178 (2003). Reviewer: A. N. Kochubei (Kyïv) MSC: 34L20 47E05 PDFBibTeX XMLCite \textit{V. Molyboga}, Methods Funct. Anal. Topol. 9, No. 2, 163--178 (2003; Zbl 1042.34108)