Soldatov Vitalii Oleksandrovych
Education
- Chernihiv National Pedagogical University named after Taras Shevchenko: Chernihiv, UA, Department of Phisics and Mathematics, masters, 2013.
- Institute of Mathematics of National Academy of Sciences of Ukraine: Kyiv, UA, graduate course, 2016.
- Institute of Mathematics of National Academy of Sciences of Ukraine: Kyiv, UA, graduate course, 2016.
Dissertations
Continuity in a parameter of solutions to one-dimensional boundary-value problems in Hölder spaces, candidate of science (PhD), 2017.
Research interests
Theory of Ordinary Differential Equations, Operator Theory, Differential Operators, Functional Analysis
Experience
Since 2016 Institute of Mathematics, NAS of Ukraine (2016-2020 Junior researcher, Since 2020 Researcher)
Talks on conferences
1. On passage to the limit in boundary value problems for systems of differential equations of order $r$ in spaces $C^{(n+r)}[a,b]$. (in Ukrainian)
Õ²²² International Scientific Conference of Students and Young Scientists "Shevchenkivska vesna - 2015", Kyiv, Ukraine, April 1-3, 2015.
2. On the limit theorem for boundary-value problems for systems of differential equations of order $r\geqslant 1$ in the spaces $C^{(n+r)}[a,b]$.
International Conference of Young Mathematicians, Kyiv, Ukraine, June 3-6, 2015.
3. Limit theorem for boundary-value problems in Hölder spaces. (In Ukrainian)
National Conference: Modern problems of probability theory and mathematical analysis, Vorohta, Ukraine, February 24-27, 2016.
4. On passage to the limit in boundary value problems for systems of differential equations of order $ r $ in spaces $C^{(n+r)}[a,b]$. (in Ukrainian)
Õ²V International Scientific Conference of Students and Young Scientists "Shevchenkivska vesna - 2016", Kyiv, Ukraine, April 6-8, 2016.
5. On the parameter continuity solutions boundary problems in Hölder-Zygmund spaces. (in Ukrainian)
International scientific conference devoted to the 70th anniversary of Ukraine academician M. A. Perestyuk: Differential equations and their applications, Uzhgorod, Ukraine, May 19-21, 2016.
6. On parameter depended generic boundary-valued problems. (in Ukrainian)
Seventeenth International scientific Mykhailo Kravchuk conference, May 19-20, 2016, Kyiv, Ukraine.
7. About generic boundary-value problems depending on parameter.
International Conference on dyferentsialynh equations devoted to the 110th anniversary Ya. B. Lopatinskii, September 20-24 2016, Lviv, Ukraine.
8. About continuity in a parameter of solutions to generic one-dimensional boundary-value problems.
Book of abstracts. 5th International Conference for Young Scientists on Differential Equations and Applications dedicated to Yaroslav Lopatynsky, 9–11 November, 2016, Kyiv, Ukraine.
9. About continuity in parameter of solutions to one-dimensional boundary problems in Hölder spaces.
International Conference of Young Mathematicians dedicated to the 100th Anniversary of Academician of National Academy of Sciences of Ukraine, Professor Yu. O. Mitropolskiy (1917–2008). June 7–10, 2017, Kyiv, Ukraine. – Kyiv: Institute of Mathematics of NAS of Ukraine, 2017.
10. On approximative properties of multipoint boundary-value problems.
International Conference of Young Mathematicians. June 6–8, 2019, Kyiv, Ukraine.
11. About approximation properties of multipoint boundary-value problems // XI International Skorobohatko Mathematical Conference (October 26–30, 2020, Lviv, Ukraine): Abstracts. – Lviv: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2020. – P. 111.
12. About approximation properties of solutions to multipoint boundary-value problems. (in Ukrainian) // International Conference of Young Mathematicians. June 3–5, 2021, Kyiv, Ukraine. Abstracts. — Kyiv: Institute of Mathematics of NAS of Ukraine, 2021. — P. 72.
13. On error estimates for the approximation of solutions to general boundary-value problems // International Conference of Young Mathematicians. June 1–3, 2023, Kyiv, Ukraine. https://www.imath.kiev.ua/~young/youngconf2023/Abstracts_2023/DEMF/Soldatov.pdf
14. On error estimates for the approximation of solutions to the broad class of boundary-value problems // International scientific conference ”MATHEMATICS AND INFORMATION TECHNOLOGIES” dedicated to the 55-th anniversary of the faculty of mathematics and informatics. September 28–30, 2023, Chernivtsi, Ukraine. Abstracts. – Chernivtsi: Yuriy Fedkovych Chernivtsi National University, 2023. – P. 317–319.
15. On solvability of the most general linear boundary-value problems in spaces of smooth functions (in Ukrainian) // The Conference of Young Scientists «Pidstryhach Readings – 2024», May 27-29, 2024 at the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Lviv, Ukraine. http://www.iapmm.lviv.ua/chyt2024/abstracts/Soldatov.pdf
Õ²²² International Scientific Conference of Students and Young Scientists "Shevchenkivska vesna - 2015", Kyiv, Ukraine, April 1-3, 2015.
2. On the limit theorem for boundary-value problems for systems of differential equations of order $r\geqslant 1$ in the spaces $C^{(n+r)}[a,b]$.
International Conference of Young Mathematicians, Kyiv, Ukraine, June 3-6, 2015.
3. Limit theorem for boundary-value problems in Hölder spaces. (In Ukrainian)
National Conference: Modern problems of probability theory and mathematical analysis, Vorohta, Ukraine, February 24-27, 2016.
4. On passage to the limit in boundary value problems for systems of differential equations of order $ r $ in spaces $C^{(n+r)}[a,b]$. (in Ukrainian)
Õ²V International Scientific Conference of Students and Young Scientists "Shevchenkivska vesna - 2016", Kyiv, Ukraine, April 6-8, 2016.
5. On the parameter continuity solutions boundary problems in Hölder-Zygmund spaces. (in Ukrainian)
International scientific conference devoted to the 70th anniversary of Ukraine academician M. A. Perestyuk: Differential equations and their applications, Uzhgorod, Ukraine, May 19-21, 2016.
6. On parameter depended generic boundary-valued problems. (in Ukrainian)
Seventeenth International scientific Mykhailo Kravchuk conference, May 19-20, 2016, Kyiv, Ukraine.
7. About generic boundary-value problems depending on parameter.
International Conference on dyferentsialynh equations devoted to the 110th anniversary Ya. B. Lopatinskii, September 20-24 2016, Lviv, Ukraine.
8. About continuity in a parameter of solutions to generic one-dimensional boundary-value problems.
Book of abstracts. 5th International Conference for Young Scientists on Differential Equations and Applications dedicated to Yaroslav Lopatynsky, 9–11 November, 2016, Kyiv, Ukraine.
9. About continuity in parameter of solutions to one-dimensional boundary problems in Hölder spaces.
International Conference of Young Mathematicians dedicated to the 100th Anniversary of Academician of National Academy of Sciences of Ukraine, Professor Yu. O. Mitropolskiy (1917–2008). June 7–10, 2017, Kyiv, Ukraine. – Kyiv: Institute of Mathematics of NAS of Ukraine, 2017.
10. On approximative properties of multipoint boundary-value problems.
International Conference of Young Mathematicians. June 6–8, 2019, Kyiv, Ukraine.
11. About approximation properties of multipoint boundary-value problems // XI International Skorobohatko Mathematical Conference (October 26–30, 2020, Lviv, Ukraine): Abstracts. – Lviv: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2020. – P. 111.
12. About approximation properties of solutions to multipoint boundary-value problems. (in Ukrainian) // International Conference of Young Mathematicians. June 3–5, 2021, Kyiv, Ukraine. Abstracts. — Kyiv: Institute of Mathematics of NAS of Ukraine, 2021. — P. 72.
13. On error estimates for the approximation of solutions to general boundary-value problems // International Conference of Young Mathematicians. June 1–3, 2023, Kyiv, Ukraine. https://www.imath.kiev.ua/~young/youngconf2023/Abstracts_2023/DEMF/Soldatov.pdf
14. On error estimates for the approximation of solutions to the broad class of boundary-value problems // International scientific conference ”MATHEMATICS AND INFORMATION TECHNOLOGIES” dedicated to the 55-th anniversary of the faculty of mathematics and informatics. September 28–30, 2023, Chernivtsi, Ukraine. Abstracts. – Chernivtsi: Yuriy Fedkovych Chernivtsi National University, 2023. – P. 317–319.
15. On solvability of the most general linear boundary-value problems in spaces of smooth functions (in Ukrainian) // The Conference of Young Scientists «Pidstryhach Readings – 2024», May 27-29, 2024 at the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Lviv, Ukraine. http://www.iapmm.lviv.ua/chyt2024/abstracts/Soldatov.pdf