Molyboga Volodymyr Mykolayovych
Publications
V. Mikhailets, V. Molyboga, Schrödinger operators with measure-valued potentials: Semiboundedness and spectrum, Methods Funct. Anal. Topology 24 (2018), no. 3, 240-254. http://mfat.imath.kiev.ua/article/?id=1084
V. Mikhailets, V. Molyboga, On spectral gaps of the Hill—Schrödinger operator with singular potential (Russian), Reports of NAS of Ukraine (2018), no. 10, 3-8 https://doi.org/10.15407/dopovidi2018.10.003
V. Molyboga, On root functions of fractional Schrödinger operator with singular potential (Russian), Proceedings of Institute of Mathematics of the NAS of Ukraine 13 (2016), no. 1, 244-254. http://proc.imath.kiev.ua/index.php/trim/article/view/216
V. Mikhailets, V. Molyboga, Spectral gaps of the Hill-Schrödinger operators with distributional potentials, Methods Funct. Anal. Topology 20 (2014), no. 4, 321-327. http://mfat.imath.kiev.ua/article/?id=754
V. Molyboga, Characterization of the gaps in the spectrum of the Hill operator with distribution as potential (Russian), Proceedings of Institute of Mathematics of the NAS of Ukraine 10 (2013), no. 2, 248-259.
V. Mikhailets, V. Molyboga, Remarks on Schroedinger operators with singular matrix potentials, Methods Funct. Anal. Topology 19 (2013), no. 2, 161-167. http://mfat.imath.kiev.ua/article/?id=693
V. Mikhailets, V. Molyboga, Schroedinger operators with complex singular potentials, Methods Funct. Anal. Topology 19 (2013), no. 1, 16-28.
V. Mikhailets, V. Molyboga, Smoothness of Hill´s potential and lengths of spectral gaps, Operator Theory: Advances and Applications, Vol. 221 (2012), 469-479.
V. Mikhailets, V. Molyboga, On the spectrum of singular perturbations of operators on the circle (Russian), Matem. Zametki 91 (2012), no. 4, 629-632; translated in Mathematical Notes 91 (2012), no. 4, 588-591.
V. Mikhailets, V. Molyboga, On a spectrum of singular perturbations of the semiperiodic operators (Russian), Reports of the NAS of Ukraine (2011), no. 11, 36-43.
V. Mikhailets, V. Molyboga, Hill's potentials in Hoermander spaces and their spectral gaps, Methods Funct. Anal. Topology 17 (2011), no. 3, 235-243.
V. Mikhailets, V. Molyboga, Oscillation properties of solutions of the Sturm-Liouville problem with a singular coefficient (Russian), Reports of the NAS of Ukraine (2010), no. 8, 20-24.
V. Molyboga, Completeness of the rootvector system some non-self-adjoint operators (Ukrainian), Proceedings of Institute of Mathematics of the NAS of Ukraine: Approximation Theory of Functions and Closely Related Questions 7 (2010), no. 1, 128-144.
V. Molyboga, Completeness of the rootvector system of the two-terms non-selfadjoint differential operators of an even order with periodic distribution potentials, Bulletin of University of Kyiv: Physics and Mathematics (2010), no. 3, 68-73.
V. Mikhailets, V. Molyboga, Spectral gaps of the one-dimensional Schroedinger operators with singular periodic potentials, Methods Funct. Anal. Topology 15 (2009), no. 1, 31-40.
V. Mikhailets, V. Molyboga, One-dimensional Schroedinger operators with singular periodic potentials, Methods Funct. Anal. Topology 14 (2008), no. 2, 184-200.
V. Mikhailets, V. Molyboga, Singularly perturbed periodic and semiperiodic differential operators, Ukrainian Math. J. 59 (2007), no. 6, 785-797.
V. Mikhailets, V. Molyboga, The perturbation of periodic and semiperiodic operators by Schwartz distributions (Russian), Reports of NAS of Ukraine (2006), no. 7, 26-31.
V. Mikhailets, V. Molyboga, Uniform estimates for the semi-periodic eigenvalues of the singular differential operators, Methods Funct. Anal. Topology 10 (2004), no. 4, 30-57.
V. Mikhailets, V. Molyboga, Singular eigenvalue problems on the circle, Methods Funct. Anal. Topology 10 (2004), no. 3, 44-53.
V. Molyboga, Estimates for periodic eigenvalues of the differential operator $(-1)^{m}d^{2m}/dx^{2m}+V$ with V - distribution, Methods Funct. Anal. Topology 9 (2003), no. 2, 163-178.
V. Mikhailets, V. Molyboga, On spectral gaps of the Hill—Schrödinger operator with singular potential (Russian), Reports of NAS of Ukraine (2018), no. 10, 3-8 https://doi.org/10.15407/dopovidi2018.10.003
V. Molyboga, On root functions of fractional Schrödinger operator with singular potential (Russian), Proceedings of Institute of Mathematics of the NAS of Ukraine 13 (2016), no. 1, 244-254. http://proc.imath.kiev.ua/index.php/trim/article/view/216
V. Mikhailets, V. Molyboga, Spectral gaps of the Hill-Schrödinger operators with distributional potentials, Methods Funct. Anal. Topology 20 (2014), no. 4, 321-327. http://mfat.imath.kiev.ua/article/?id=754
V. Molyboga, Characterization of the gaps in the spectrum of the Hill operator with distribution as potential (Russian), Proceedings of Institute of Mathematics of the NAS of Ukraine 10 (2013), no. 2, 248-259.
V. Mikhailets, V. Molyboga, Remarks on Schroedinger operators with singular matrix potentials, Methods Funct. Anal. Topology 19 (2013), no. 2, 161-167. http://mfat.imath.kiev.ua/article/?id=693
V. Mikhailets, V. Molyboga, Schroedinger operators with complex singular potentials, Methods Funct. Anal. Topology 19 (2013), no. 1, 16-28.
V. Mikhailets, V. Molyboga, Smoothness of Hill´s potential and lengths of spectral gaps, Operator Theory: Advances and Applications, Vol. 221 (2012), 469-479.
V. Mikhailets, V. Molyboga, On the spectrum of singular perturbations of operators on the circle (Russian), Matem. Zametki 91 (2012), no. 4, 629-632; translated in Mathematical Notes 91 (2012), no. 4, 588-591.
V. Mikhailets, V. Molyboga, On a spectrum of singular perturbations of the semiperiodic operators (Russian), Reports of the NAS of Ukraine (2011), no. 11, 36-43.
V. Mikhailets, V. Molyboga, Hill's potentials in Hoermander spaces and their spectral gaps, Methods Funct. Anal. Topology 17 (2011), no. 3, 235-243.
V. Mikhailets, V. Molyboga, Oscillation properties of solutions of the Sturm-Liouville problem with a singular coefficient (Russian), Reports of the NAS of Ukraine (2010), no. 8, 20-24.
V. Molyboga, Completeness of the rootvector system some non-self-adjoint operators (Ukrainian), Proceedings of Institute of Mathematics of the NAS of Ukraine: Approximation Theory of Functions and Closely Related Questions 7 (2010), no. 1, 128-144.
V. Molyboga, Completeness of the rootvector system of the two-terms non-selfadjoint differential operators of an even order with periodic distribution potentials, Bulletin of University of Kyiv: Physics and Mathematics (2010), no. 3, 68-73.
V. Mikhailets, V. Molyboga, Spectral gaps of the one-dimensional Schroedinger operators with singular periodic potentials, Methods Funct. Anal. Topology 15 (2009), no. 1, 31-40.
V. Mikhailets, V. Molyboga, One-dimensional Schroedinger operators with singular periodic potentials, Methods Funct. Anal. Topology 14 (2008), no. 2, 184-200.
V. Mikhailets, V. Molyboga, Singularly perturbed periodic and semiperiodic differential operators, Ukrainian Math. J. 59 (2007), no. 6, 785-797.
V. Mikhailets, V. Molyboga, The perturbation of periodic and semiperiodic operators by Schwartz distributions (Russian), Reports of NAS of Ukraine (2006), no. 7, 26-31.
V. Mikhailets, V. Molyboga, Uniform estimates for the semi-periodic eigenvalues of the singular differential operators, Methods Funct. Anal. Topology 10 (2004), no. 4, 30-57.
V. Mikhailets, V. Molyboga, Singular eigenvalue problems on the circle, Methods Funct. Anal. Topology 10 (2004), no. 3, 44-53.
V. Molyboga, Estimates for periodic eigenvalues of the differential operator $(-1)^{m}d^{2m}/dx^{2m}+V$ with V - distribution, Methods Funct. Anal. Topology 9 (2003), no. 2, 163-178.