Volodymyr Molyboga
 1976.04.27

Department of Nonlinear Analysis
 Institute of Mathematics
National Academy of Science of Ukraine, Kyiv
E-mail: , 


Curriculum Vitae

Research Field

Functional Analysis, Operator Theory, Spectral Theory, Hill-Schroedinger Operators, Spectral Gaps

Education:

2005 Candidate of Physical and Mathematical Science, Analysis (corresponds to PhD in Mathematics),
          Institute of Mathematics of National Academy of Science of Ukraine
          Candidate Thesis: Spectral Problems with Generalized Functions (Ukrainian), Kyiv, 2005, 167 p.
          Candidate Advisor: Prof. Dr. Hab. Vladimir Mikhailets

1998 Specialist Diploma: Teacher in Mathematics, Physics, Informatics and Computing Techniques,
          Physics and Mathematics Faculty of Taras Shevchenko Pedagogical University of Chernigiv of Ukraine
          Diploma Thesis: About a Generalized Solvability of the Two Order Boundary Elliptic Problems (Ukrainian), Chernigiv, 1998, 106 p.
          Diploma Advisors: Dr. Inna Roitberg, Prof. Dr. Hab. Yakov Roitberg

Employment:

Since 2010 - Senior Research Scientist at Department of Nonlinear Analysis of Institute of Mathematics of National Academy of Science of Ukraine, Kyiv
2008-2010 - Research Scientist at Department of Nonlinear Analysis of Institute of Mathematics of National Academy of Science of Ukraine, Kyiv
2003-2008 - Junior Research Scientist at Department of Nonlinear Analysis Institute of Mathematics of National Academy of Science of Ukraine, Kyiv
2000-2003 - Post-Graduate Student at Department of Nonlinear Analysis of Institute of Mathematics of National Academy of Science of Ukraine, Kyiv
1999-2000 - Teacher of Mathematics at Physics and Mathematics School (Middle School no. 12) of Chernigiv of Ukraine
1998-1999 - Teacher of Mathematics, Physics and Chemistry at School of Arhipovka of Chernigiv Region of Ukraine
1993-1998 - Student at Physics and Mathematics Faculty of Taras Shevchenko Pedagogical University of Chernigiv of Ukraine

Publications:

  1. 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.
  2. V. Mikhailets, V. Molyboga, Remarks on Schroedinger operators with singular matrix potentials, Methods Funct. Anal. Topology 19 (2013), no. 2, 161-167.
  3. V. Mikhailets, V. Molyboga, Schroedinger operators with complex singular potentials, Methods Funct. Anal. Topology 19 (2013), no. 1, 16-28.
  4. V. Mikhailets, V. Molyboga, On a spectrum of singular perturbations on a circle (Russian), Matem. Zametki 91 (2012), no. 4, 629-632 (article); translated in Mathematical Notes 91 (2012), no. 4, 588-591. (article)
  5. V. Mikhailets, V. Molyboga, Smoothness of Hill's potential and lengths of spectral gaps, Operator Theory: Advances and Applications, Vol. 221 (2012), 467-478.
  6. V. Mikhailets, V. Molyboga, \textit{On a spectrum of singular perturbations of semi-periodic operators} (Russian), Reports of the NAS of Ukraine (2011), no. 11, 36-43.
  7. V. Mikhailets, V. Molyboga, Hill's potentials in Hoermander spaces and their spectral gaps, Methods Funct. Anal. Topology 17 (2011), no. 3, 235-243. (article)
  8. 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. (article)
  9. 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.
  10. 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.
  11. 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. (article)
  12. V. Mikhailets, V. Molyboga, One-dimensional Schroedinger operators with singular periodic potentials, Methods Funct. Anal. Topology 14 (2008), no. 2, 184-200. (article)
  13. V. Mikhailets, V. Molyboga, Singularly perturbed periodic and semiperiodic differential operators, Ukrainian Math. J. 59 (2007), no. 6, 785-797.
  14. V. Mikhailets, V. Molyboga, The perturbation of periodic and semiperiodic operators by Schwartz distributions (Russian), Reports of NAS of Ukraine 7 (2006), 26-31.
  15. 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.
  16. V. Mikhailets, V. Molyboga, Singular eigenvalue problems on the circle, Methods Funct. Anal. Topology 10 (2004), no. 3, 44-53.
  17. 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.

Preprints:

  1. V. Mikhailets, V. Molyboga, The spectral problems over the periodic classes of distributions (Ukrainian), Preprint, Institute of Mathematics of NAS of Ukraine, Kyiv, 2004, 46 p.

E-Preprints (arXiv.org):

  1. V. Mikhailets, V. Molyboga, Smoothness of Hill's potential and lengths of spectral gaps, arXiv: math.SP/1003.5000. (pdf)
  2. V. Mikhailets, V. Molyboga, Hill's potentials in H\"{o}rmander spaces and their spectral gaps, arXiv: math.SP/0905.4655. (pdf)
  3. V. Mikhailets, V. Molyboga, Spectral gaps of the one-dimensional Schr\"{o}dinger operators with singular periodic potentials, arXiv: math.SP/0805.2136. (pdf)
  4. V. Mikhailets, V. Molyboga, The one-dimensional Schrodinger operators with singular periodic potentials, arXiv: math.SP/0805.1000. (pdf)
  5. V. Mikhailets, V. Molyboga, Singularly perturbed periodic and semiperiodic differential operators, arXiv: math.FA/0705.3045. (pdf)

Conference talks:

  1. Molyboga V. Forbidden zones of the Hill-Schroedinger operators with distributions as potentials // International Conference Dedicated to the 120th Anniversary of Stefan Banach, 17 - 21 September, 2012, Lviv, Ukraine: Abstracts of Reports - Lviv, 2012. - P. 55-56.
  2. Molyboga V. Spectral gaps of the 1-d Schroedinger operators with periodic distributional potentials // Workshop "Spectral Theory and Differential Operators", 27 - 31 August, TU Graz, Graz, Austria: Book of Abstracts - TU Graz, 2012. - P. 29.
  3. Molyboga V. Spectral gaps of the Hill-Schroedinger operators with distributional potentials // International Conference in Honor of Vladimir A. Marchenko's 90th birthday "Spectral Theory and Differential Equations" (STDE-2012), 20 - 24 August, 2012, Harkiv, Ukraine: Book of Abstracts - Kharkiv, 2012.- P. 74-75.
  4. Mikhailets V., Molyboga V. The 1-d Shroedinger operators with complex-valued distributions as potentials // 6th Europian Congress of Mathematics, 2 - 7 July, 2012, Krakow, Poland: Posters - http://www.6ecm.pl/docs/Molyboga\_Volodymyr\_821.pdf.
  5. Molyboga V. The 1-d Shroedinger operators with complex-valued distributional potentials // All-Ukrainian Scientific Conference, 11 - 13 June, 2012, Chernivtsi: Conference Materials - Chernivtsi, 2012. - P. 164.
  7. Molyboga V. The 1-d Schroedinger operators with complex-valued singular potentials // XIV International Scientific Kravchuk Conference, Kyiv, April 19-21, 2012: Conference Materials. - Kyiv, 2012.
  8. Molyboga V. Gaps in the spectum of the Hill-Schroedinger operators // International V.Ya. Skorobohatko Mathematical Conference: Abstarcts, September 19-23, 2011, Drohobych, Ukraine, P. 140.
  9. V. Molyboga, On a spectrum of the Hill--Schrodinger operators with singular potentials // International Scientific Conference Differential equations and it's applications: Materials of the conference. - Taras Shevchenko National University, June 8 - June 10, Kyiv, 2011.
  10. V. Mikhailets, V. Molyboga, Spectral properties of the Schrodinger operators with the Radon measures as potentials // International Conference of Functional Analysis dedicated to 90-anniversary of V.E. Lyantse: Materials of the conference. -- Ivan Franko L'viv National University, November 17 - November 21, L'viv, 2010.
  11. V. Molyboga, Smoothness of Hill's potential and lentghs of spectral gaps // 21th International Workshop on Operator Theory and Applications (IWOTA), Technical University Berlin, July 12 - July 16, Berlin, 2010.
  12. V. Molyboga V., Spectral gaps of the one dimensional Schrodinger operators with periodic potentials // Humboldt-Kolleg "Humboldt Cosmos: Science and Society", November 19-22, 2009, Kiev, Ukraine. - P. 35.
  13. V. Molyboga, Hill's equation and its instability intervals // Ukrainian Mathematical Congress - 2009, Dedicated to the Centennial of Nikolai N. Bogoliubov. - Kyiv, Institute of Mathematics of NAS of Ukraine, August 27-29, 2009. - Kyiv, 2009; (pdf).
  14. V. Molyboga, Instability zones of the Hill-Schrodinger operators with distributions as potentials: International Conference "Analysis and Topology", Lviv, May 26 - June 7, Abstracts, Lviv, 2008
  15. V. Molyboga, Instability zones of the Hill-Schrodinger operators with Schwartz distribution as potentials: The Fifth Summer School Algebra, Topology and Analysis, Kozyova, Lviv Region, Ukraine, August 6-18, 2007, Programs of invited lectures and abstracts of research reports, Lviv, 2007
  16. V. Molyboga, On singular Sturm-Liouville problem, XI International scientific Kravchuk Conference: Conference Materials, Kyiv, 2006, 529-529
  17. V. Mikhailets, V. Molyboga, Spectra of singular periodic and semi-periodic differential operators on the interval, Bunyakovsky International Conference: Abstracts, Kyiv: Institute of Mathematics of NAS of Ukraine, 2004, 172-173.

Hobbies:
Department of Nonlinear Analysis of Institute of Mathematics of National Academy of Science of Ukraine                                             (last update 2013.04.17)