Scientific and pedagogical staff

Honcharuk Anna Borysivna

Doctor of Philosophy in specialty 111 Mathematics, Associate Professor of the Department of Fundamental Mathematics

  • From 2025 to present – Associate Professor of the Department of Fundamental Mathematics, Faculty of Mathematics and Informatics, V. N. Karazin Kharkiv National University. Also, since 2025, I have been working as a researcher at the Department of Function Theory, B.I. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine.
  • 2019 – 2025: Lecturer at the Department of Fundamental Mathematics, Faculty of Mathematics and Informatics, V. N. Karazin Kharkiv National University.
  • From 2019-2023, I pursued postgraduate studies at V. N. Karazin Kharkiv National University, Department of Fundamental Mathematics. In 2024, I defended my dissertation on the topic “Algebraic constructions in linear differential equations and in the theory of implicit linear difference equations” under the supervision of S. L. Gefter.
  • From 2013-2019, I studied at V. N. Karazin Kharkiv National University, majoring in Mathematics.
  • Differential and difference equations over rings
  • Non-Archimedean topology
  • p-adic analysis

Посилання на сторінки в наукових мережах:

  1. S. Gefter, A.Goncharuk, A. Piven’. Implicit Linear First Order Difference Equations Over Commutative Rings, Springer Nature Switzerland AG, S. Elaydi et al. (eds.), Advances in Discrete Dynamical Systems, Difference Equations and Applications, Springer Proceedings in Mathematics & Statistics, 2023, pp. 199-216. https://link.springer.com/chapter/10.1007/978-3-031-25225-9_10
  2. Hefter, S.L., Goncharuk, A.B. Linear Differential Equation with Inhomogeneity in the Form of a Formal Power Series Over a Ring with Non-Archimedean Valuation. Ukr Math J74, 1668–1685 (2023). https://link.springer.com/article/10.1007/s11253-023-02163-0
  3. Goncharuk, A.: Cramer’s rule for implicit linear differential equations over a non-Archimedean ring, Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Appl. Math. and Mech. 95, 39–48 (2022) https://periodicals.karazin.ua/mech_math/article/view/20906/19611
  4. Goncharuk, A.: Implicit linear difference equation over a non-Archimedean ring. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Appl. Math. and Mech. 93, 18–33 (2021) https://periodicals.karazin.ua/mech_math/article/view/17409/16023
  5. Gefter, S.L., Martseniuk, V.V., Goncharuk, A.B., Piven’A.L. Analogue of the Cramer Rule for an Implicit Linear Second Order Difference Equation Over the Ring of Integers, Journal of Mathematical Sciences, New York (Springer), 244, pp. 601–607, 2020. https://link.springer.com/article/10.1007/s10958-019-04635-w
  1. Anna Goncharuk, Roman Scurikhin, Sergiy Gefter, Aleksey Piven’, The ring of copolynomials over the commutative ring and some its applications. Conference on Rings and Polynomials, TU Graz, Graz, Austria, July 14 – 19, 2025
  2. Gefter, S., Goncharuk, A., Piven’, A.: Periodic and quasi-polynomial solutions of implicit linear difference equations over commutative rings. The 27th International Conference on Difference Equations and Applications, Paris, July 18-22, 2022
  3. Goncharuk A.: Implicit difference equation over the ring of polynomials. Conference on Rings and Polynomials, Graz, Austria, July 19-24, 2021
  4. Goncharuk, A., Gefter, S., Piven’, A.: Implicit linear difference equations over commutative rings. The 26th International Conference on Difference Equations and Applications, Sarajevo, Bosnia and Herzegovina, 16-30 July 2021