Mykola Dudkin
Doctor of Physical and Mathematical Sciences
Professor of the Department of Mathematical Physics and Differential Equations
He has been working at the Igor Sikorsky Kyiv Polytechnic Institute since 1996
The teacher's page at intellect.kpi.uaEducation
1984–1991 - Faculty of Physics and Mathematics of the M. Gorky Kyiv Pedagogical Institute (mathematics and physics teacher) (mathematics and physics teacher);
1996 - defense of a dissertation for the degree of Candidate of Physical and Mathematical Sciences on the topic "Commutative Properties of Singularly Perturbed Operators" (mathematics analysis 01.01.01) at the Institute of Mathematics of the National Academy of Sciences of Ukraine, scientific supervisor - Professor, Doctor of Physical and Mathematical Sciences, V.D. Koshmanenko.
2010 − defense of the dissertation for the degree of Doctor of Physical and Mathematical Sciences on the topic “Singularly perturbed normal operators and the complex moment problem” (specialty 01.01.01 – mathematical analysis) at the Institute of Mathematics of the National Academy of Sciences of Ukraine, scientific supervisor − Professor, Doctor of Physical and Mathematical Sciences, V.D. Koshmanenko
Topics of scientific interests
Singularly perturbed operators, moment problem, Jacobi block matrices.
Main scientific publications
Monographs
1. V.Koshmanenko, M.Dudkin The method of rigged spaces in singular perturbation theory of self-adjoint operators. Operator Theory: Advances and Applications, 253. Birkauser/Springer, [Cham], 2016. XX+237 pp.
2. Yu.M.Berezansky, M.E.Dudkin Jacobi Matrices and the Moment Problem. Springer. Operator Theory: Advances and Applications, 294. Birkauser/Springer, [Cham], 2023. IX+487 pp. https://doi.org/10.1007/978-3-031-46387-7
Scientific articles
1. M.E.Dudkin, O.Y.Dyuzhenkova Singularly perturbed rank one linear operators. Matematychni Studii, 56 (2021), No.2, 162–175. https://doi.org/10.30970/ms.56.2.162-175
2. M.Dudkin, O.Dyuzhenkova, V.Kozak The inner structure of the block Jacobi type matrix related to the complex moment problem with the measure supported on the second order curve MFAT 28 (2022), no. 3, 209-227 https://doi.org/10.31392/MFAT-npu26_3.2022.02
3. M.Dudkin, O.Dyuzhenkova Singular Finite-Rank Nonsymmetric Perturbations of a Self-Adjoint Operator Journal of Mathematical Sciences (United States),2023, 270 (2), p.250-262 https://doi.org/10.1007/s10958-023-06344-x
Other scientific publications
https://scholar.google.com/citations?hl=uk&user=MoZVW5YAAAAJ
Educational and methodological publications
1. Higher Mathematics. Practicum [Electronic resource]: textbook O.Yu.Dyuzhenkova, M.E.Dudkin, I.V.Stepakhno. – Kyiv: Igor Sikorsky Kyiv Polytechnic Institute, 2021. – 409p. The stamp was provided by the Methodological Council of NTUU “Igor Sikorsky Kyiv Polytechnic Institute” (minutes No. 2 dated 09.12.2021) upon submission of the Academic Council of the Faculty of Physics and Mathematics (minutes No. 01 dated 09.23.2021)
2. Higher Mathematics: a textbook for bachelor's degree applicants in engineering specialties M.Y. Dudkin, O.Yu. Dyuzhenkova, I.V. Stepakhno; Igor Sikorsky Kyiv Polytechnic Institute. – Kyiv: Igor Sikorsky Kyiv Polytechnic Institute Igor Sikorsky Kyiv Polytechnic Institute, 2022. – 449 p. https://ela.kpi.ua/handle/123456789/51064 The seal was provided by the Academic Council of Igor Sikorsky Kyiv Polytechnic Institute (minutes No. 6 dated October 3, 2022)
Other educational and methodological publications:
Contact information
Phone (work):+38 (044) 204-82-46
e-mail: mykoladudkin@gmail.com