| Position: | Associate Professor |
|---|---|
| Degree: | Candidate of Physical and Mathematical Science |
| Title: | |
| Room: | 228 |
| Phone: | (044) 521-32-02 |
| E-mail: | zavorotynskyi@knu.ua |
| Research interests: | Partial differential equations, functional analysis, mathematical modelling, operations research, data analysis. |
1. Prize of the ChNPU named after T.G. Shevchenko for publication activity (2016);
2. Prize of the ChNPU named after T.G. Shevchenko for faithfully fulfilling the duties of the coordinator of educational programs at the university (2014);
3. Prize of the ChNPU named after T.G. Shevchenko for many years of fruitful work (2014);
4. Certificate of Honor from the Department of Education of the Chernihiv City Council (2013);
5. Diploma of the winner of the competition "Success stories of teachers and students - participants of Intel educational programs in Ukraine" (2013);
6. Diploma of the ChNPU named after T.G. Shevchenko (2011);
7. Diploma of the Ministry of Youth Sports of Ukraine for the effective implementation of the Intel international educational program "Learning for the Future" and promoting the formation of an information society in Ukraine (2011).
8. 2026 — Certificate of Merit from Taras Shevchenko National University of Kyiv for achievements in teaching, research, and student development.
9. 2024 — Commendation from Taras Shevchenko National University of Kyiv for dedicated service and productive research and teaching, marking the 55th anniversary of the Faculty of Computer Science and Cybernetics.
10. 2011–2016 — Awards and honours from Chernihiv National Pedagogical University, the Department of Education of Chernihiv City Council, and the Ministry of Education and Science of Ukraine.
1. Linear Algebra (degree programmes in Informatics and Software Engineering).
2. Further Topics in Operations Research and Probability Theory (degree programme in Applied Mathematics).
3. Operations Research (degree programme in Informatics).
4. Further Topics in Algebra and Geometry (degree programme in Software Engineering).
In the 2026/2027 academic year, he delivers lectures and practical classes in these subjects.
He supervises student term papers, bachelor’s theses, and master’s theses.
Since 2026, he has led the Department of Operations Research student research group “Mathematics That Works”.
Teaching Publications
1. Operations Research. The Transportation Problem and Network Flows: a textbook / A. V. Zavorotynskyi, R. Ya. Yakymiv, T. I. Shakotko. — Kyiv, 2026. — 83 pp.
2. Algebra and Geometry. Linear Spaces, Transformations and Operators: a textbook / A. V. Zavorotynskyi, B. V. Dovhai, R. Ya. Yakymiv, T. I. Shakotko. — Kyiv, 2026. — 152 pp.
3. Algebra and Geometry. Euclidean Spaces and Operators. Bilinear and Quadratic Forms: a textbook / I. V. Samoilenko, A. V. Zavorotynskyi, B. V. Dovhai, R. Ya. Yakymiv; edited by Prof. I. V. Samoilenko. — Kyiv, 2026. — 108 pp.
Faculty Library of Teaching Materials
Selected Research Publications
1. Zavorotinskii A. V. On Elliptic Boundary-Value Problems with Small Parameter and Additional Functions on the Boundary of a Domain // Ukrainian Mathematical Journal. — 2015. — Vol. 66, No. 9. — P. 1423–1430. DOI: 10.1007/s11253-015-1021-4.
2. Pryimak S. H., Savchyn M. P., Vlasenko S. O., Zavorotynskyi A. V., Fedorchenko O. S., Fedorchenko T. M., Moshko L. V. Characteristics of Neurodynamics, Psychodynamics and Sport-Specific Physical Performance in Boxers and Kickboxers // Bulletin of Zaporizhzhia National University. Biological Sciences. — 2015. — No. 2. — Pp. 152–166.
3. Pryimak S. H., Zavorotynskyi A. V. Decision Trees and Their Application to Classifying Students in Different Sports and Pedagogical Training Groups // Pedagogical Sciences. — 2018. — Issue LXXXII, Vol. 3. — Pp. 230–233.
4. Zavorotynskyi A. V. Elliptic Boundary Value Problems with a Small Parameter and Unknown Additional Functions on the Boundary of a Domain. Estimates of Fundamental Solutions // Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. — 2012. — Vol. 9, No. 2. — Pp. 147–164.
5. Mishchenko T. V., Zavorotynskyi A. V., Zhydenko A. O. Catalase Activity in Carp Tissues as a Biomarker of Herbicide Pollution in Water Bodies // Biological Systems. — 2013. — Vol. 5, Issue 2.
Conference Proceedings
1. Zavorotynskyi A., Murach O. A Singularly Perturbed Mathematical Model of a MEMS Diaphragm with a Rotationally Compliant Edge // Differential Equations and Their Applications: Proceedings of the International Scientific Conference in Memory of Academician Mykola Perestyuk, 23–26 September 2026. — Chernivtsi: Chernivtsi National University, 2026. — Pp. 207–209. — Electronic edition
2. Zavorotynskyi A. V. Integral Estimates for a Fundamental System of Solutions of a New Class of Elliptic Boundary Value Problems with a Small Parameter / A. V. Zavorotynskyi // Abstracts of the 20th Mykhailo Kravchuk International Scientific Conference, dedicated to the 130th anniversary of the birth of M. P. Kravchuk (Kyiv, 17–20 November 2025). — Kyiv: Igor Sikorsky Kyiv Polytechnic Institute, 2025. — Pp. 101–102. — Electronic edition
3. Zavorotynskyi A. V., Murach O. O. On a New Class of Elliptic Boundary Value Problems with a Small Parameter / A. V. Zavorotynskyi, O. O. Murach // Book of abstracts of the International Conference named after V. V. Maslyuchenko. — Chernivtsi: Yuriy Fedkovych Chernivtsi National University, 2025. — Pp. 46–47. — Electronic edition
