Vlada O. Kuz’mina

Position: Junior Researcher

Degree: Doctor of Philosophy

E-mail: vlada765657@gmail.com

Research Fields:

Main areas: differential equations and boundary-value problems, in particular:
linear Fredholm-type integro-differential equations with degenerate kernel, nonlinear integro-differential boundary value problems, non-degenerate integro-differential boundary value problems, matrix integro-differential equations with degenerate kernel, nonlinear integro-differential boundary value problems with argument deviation, regularization problems

Personal profiles:

 

  • Undergraduate and graduate studies
    Institution: State Higher Educational Institution “Donbas State Pedagogical University” (2012–2018)
    Degree: Master’s degree in mathematics (2018)
    Postgraduate study
    Institution: Institute of Applied Mathematics and Mechanics of the NAS of Ukraine (2023–2025)
  • Ph.D. in Mathematics
    Institution: Institute of Applied Mathematics and Mechanics of the NAS of Ukraine (2025)
    Name of Theses: Nonlinear integrodifferential boundary value problems unsolved with respect to the derivative (2025)
    Supervisor: Prof. S. Chuiko (Institute of Applied Mathematics and Mechanics of the NAS of Ukraine)

2025 – now Junior Researcher, Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Sloviansk, Ukraine
2023 – 2025 Lecturer, Department of Mathematics and Modeling, Donbas State Engineering Academy, Kramatorsk, Ukraine
2017 – 2020 Office Manager,  Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Sloviansk, Ukraine
2015 – 2016 Mathematics teacher, Novohrodivka secondary school of 1-3 degrees №10 named after Taras Shevchenko, Novohrodivka, Ukraine

Articles

  1. Chuiko, S.M., Nesmelova, O.V., & Kuz’mina, V.O. (2023). Generalized Green’s operator of the matrix integral-differential boundary value problem unsolved with respect to the derivative. Journal of Mathematical Sciences, 276(5), 603-613. https://doi.org/10.1007/s10958-023-06785-4
  2. Boichuk, O.A., Chuiko, S.M., & Kuzmina, V.O. (2023). Nonlinear Integrodifferential Boundary-Value Problems with Deviating Argument Unsolved with Respect to the Derivative. Ukrainian Mathematical Journal, 74(9), 1334-1347. https://doi.org/10.1007/s11253-023-02139-0
  3. Chuiko, S.M., Chuiko, O.V., & Kuzmina, V.O. Nonlinear Integrodifferential Boundary-Value Problems Unsolvable with Respect to the Derivative. Journal of Mathematical Sciences, 270(2), 385-395. https://doi.org/10.1007/s10958-023-06352-x
  4. Chuiko, S.M., Chuiko, O.V., & Kuzmina, V.O. (2022). Solutions of the Boundary-Value Problem for a Matrix Integrodifferential Equation with Degenerate Kernel. Journal of Mathematical Sciences, 263(2), 341-349. https://doi.org/10.1007/s10958-022-05929-2

2023 Grant EFDS-FL2-08 of the found The European Federation of Academies of Sciences and Humanities (ALLEA)
Role: Co-Investigator
2023 The grant “Constructive methods for the reconstruction of nonlinear boundary value problems with applications in medical research and image reconstruction” was implemented under the bilateral Agreement between the Austrian Academy of Sciences and the National Academy of Sciences of Ukraine
Role: Co-Investigator
2018 – 2020 MES of Ukraine, no. 0118U003390
Constructive methods of analysis of matrix boundary value problems for systems of differential, differential-algebraic and functional-differential equations and the theory of approximations
Role: Co-Investigator

2024 Yaroslav Lopatynskyi Prize for Achievements in the Field of Differential Equations, Contest for Young Scientists “Mathematics. Mechanics. Cybernetics” named after prominent scientists of the IAMM of the NAS of Ukraine
2024 M.O. Mitropolsky Prize of the Department of Mathematics for young scientists