Atlasiuk Olena Mykolaivna
Education
Institute of Mathematics, NAS of Ukraine (2016-2020)
Department of Nonlinear Analysis, Ph.D. Student
Kherson State University (2015-2016)
Faculty of Physics, Mathematics and Informatics, master's degree (with honors)
Kherson State University (2011-2015)
Faculty of Physics, Mathematics and Informatics, bachelor's degree (with honors)
Department of Nonlinear Analysis, Ph.D. Student
Kherson State University (2015-2016)
Faculty of Physics, Mathematics and Informatics, master's degree (with honors)
Kherson State University (2011-2015)
Faculty of Physics, Mathematics and Informatics, bachelor's degree (with honors)
Dissertations
Doctor of Philosophy "One-dimensional Fredholm boundary-value problems with parameter", Kyiv, Institute of Mathematics, National Academy of Sciences of Ukraine, November 30, 2020
Research interests
Ordinary Differential equations
Functional analysis
We study linear systems of ordinary differential equations on a finite interval with the most general (generic) inhomogeneous boundary conditions in Sobolev spaces. These boundary problems include all known types of classical and numerous nonclassical conditions. The latter may contain derivatives of integer and fractional order, which may exceed the order of the differential equation.
We investigate the characteristic of solvability of inhomogeneous boundary-value problems, prove their Fredholm properties, and find the indices, the dimensions of the kernel, and the cokernel of these problems. Moreover, we obtained the necessary and sufficient conditions for continuity in the parameter of solutions to the introduced boundary-value problems in the Sobolev spaces. Some applications of these results to the solutions of multipoint boundary-value problems are also presented.
Functional analysis
We study linear systems of ordinary differential equations on a finite interval with the most general (generic) inhomogeneous boundary conditions in Sobolev spaces. These boundary problems include all known types of classical and numerous nonclassical conditions. The latter may contain derivatives of integer and fractional order, which may exceed the order of the differential equation.
We investigate the characteristic of solvability of inhomogeneous boundary-value problems, prove their Fredholm properties, and find the indices, the dimensions of the kernel, and the cokernel of these problems. Moreover, we obtained the necessary and sufficient conditions for continuity in the parameter of solutions to the introduced boundary-value problems in the Sobolev spaces. Some applications of these results to the solutions of multipoint boundary-value problems are also presented.
Experience
1. Senior laboratory assistant, Kherson State University (2016)
2. Methodist, Kherson Regional Center for Educational Quality Assessment (2016)
3. Senior Engineer, Differential equations and oscillation theory Department, Institute of Mathematics, National Academy of Sciences of Ukraine (2017-2018).
4. Chief Software Engineer, Differential equations and oscillation theory Department, Institute of Mathematics, National Academy of Sciences of Ukraine (2018-2020).
5. Junior researcher, Differential equations and oscillation theory Department, Institute of Mathematics, National Academy of Sciences of Ukraine (2020-2022).
6. Researcher, Laboratory of differential equations with partial derivatives, Institute of Mathematics, National Academy of Sciences of Ukraine (2022-until now).
7. Postdoctoral fellow, Department of Evolutionary Differential Equations, Institute of Mathematics, Czech Academy of Sciences (2022-present).
2. Methodist, Kherson Regional Center for Educational Quality Assessment (2016)
3. Senior Engineer, Differential equations and oscillation theory Department, Institute of Mathematics, National Academy of Sciences of Ukraine (2017-2018).
4. Chief Software Engineer, Differential equations and oscillation theory Department, Institute of Mathematics, National Academy of Sciences of Ukraine (2018-2020).
5. Junior researcher, Differential equations and oscillation theory Department, Institute of Mathematics, National Academy of Sciences of Ukraine (2020-2022).
6. Researcher, Laboratory of differential equations with partial derivatives, Institute of Mathematics, National Academy of Sciences of Ukraine (2022-until now).
7. Postdoctoral fellow, Department of Evolutionary Differential Equations, Institute of Mathematics, Czech Academy of Sciences (2022-present).
Talks on conferences
Summer School ''Algebraic Geometry'', 3 August -- 2 September 2018, Hradec Králové, Czech Republic, University of Hradec Králové.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems in Sobolev spaces // XIIIth Summer School ''Analysis, Topology and Applications'', 29 July -- 11 August 2018, Vyzhnytsya town, Chernivtsi region, Ukraine: Abstracts. --- Yuriy Fedkovych Chernivtsi National University, Ivan Franko National University of Lviv, 2018. --- P. 56.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems in Sobolev spaces // International scientific conference ''Modern problems of mathematics and its application in natural sciences and information technologies'' dedicated to the 50th anniversary of the Faculty of Mathematics and Informatics, 17 -- 19 September 2018, Chernivtsi, Ukraine: Abstracts. --- Chernivtsi: Yuriy Fedkovych Chernivtsi National University, 2018. --- P. 13.
Atlasiuk Î. Ì. Limit theorems for solutions of multipoint boundary-value problems in Sobolev spaces // International Conference of Young Mathematicians, 6 -- 8 June 2019, Kyiv, Ukraine: Abstracts. --- Kyiv: Institute of Mathematics of NAS of Ukraine, 2019. --- P. 49.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces // International Conference ''Functional Methods in Approximation Theory, Differential Equations and Numerical Mathematics IV'', dedicated to the 100th anniversary of V. K. Dzyadyk (1919 -- 1998), 20 -- 26 June 2019, Svityaz' village, Volyn' region, Ukraine: Abstracts. --- Institute of Mathematics of NAS of Ukraine, Taras Shevchenko National University of Kyiv, Lesya Ukrainka Eastern European National University, 2019. --- P. 70 -- 71.
Summer School ''Geometry and Topology'', 1 -- 31 August 2019, Hradec Králové, Czech Republic, University of Hradec Králové.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces // International conference ''Problems of Theoretical and Mathematical Physics'' dedicated to the 110th anniversary of M.M. Bogolyubov (1909 -- 1992), 24 -- 26 September 2019, Kyiv, Ukraine: Abstracts. --- Kyiv: Bogolyubov Institute for Theoretical Physics of NAS of Ukraine, Institute of Mathematics of NAS of Ukraine, 2019. --- P. 91.
Atlasiuk Îlena, Mikhailets Vladimir. On linear boundary-value problems for differential systems in Sobolev spaces // International Workshop on the Qualitative Theory of Differential Equations ''QUALITDE --- 2019'', 7 -- 9 December 2019, Tbilisi, Georgia: Abstracts. --- Tbilisi: A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 2019.~--- P. 19 -- 22.
Atlasiuk Î. Ì. On linear boundary-value problems for differential systems in Sobolev spaces // International Conference ''Supergeometry, Supersymmetry and Quantization'', 16 -- 19 December 2019, Esch-sur-Alzette, Grand Duchy of Luxembourg. (poster session)
Atlasiuk Î. Ì. On Fredholm boundary-value problems with a parameter in Sobolev spaces // Seminar ''Spectral and boundary-value problems'' of Laboratory of differential equations with partial derivatives of the Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine (seminar leader: Professor V. À. Mikhailets), 11 February 2020.
Atlasiuk Î. Ì. On solvability of one-dimensional boundary-value problems in Sobolev spaces~// International scientific and practical conference ''Shevchenkivska Vesna --- 2020: Mathematics, statistics, mechanics. Applied mathematics, computer science, software engineering, system analysis'', 15 -- 16 April 2020, Kyiv, Ukraine: Abstracts. --- Taras Shevchenko National University of Kyiv, 2020. --- P. 5 -- 6.
Atlasiuk O., Mikhailets V. On continuity in a parameter of solutions to inhomogeneous boundary-value problems in Sobolev spaces // The conference of young scientists ''Pidstryhach readings --- 2020'', 26 -- 28 May 2020, Lviv, Ukraine: Abstracts. --- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, 2020. --- P. 1 -- 2.
Atlasiuk Î. Ì. One-dimensional Fredholm boundary-value problems with parameter// Common meeting of Departments Differential equations and oscillation theory and Nonlinear analysis of Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine (meeting leaders: Academician of the NAS of Ukraine À. Ì. Samoilenko, Corresponding Member of the NAS of Ukraine À. N. Kochubei), 15 September 2020.
Atlasiuk O., Mikhailets V. On limit theorems for solutions of multipoint boundary-value problems with parameter in Sobolev spaces // International scientific conference "Modern problems of Differential Equations and their application",
dedicated to the 100th anniversary of the professor S.D. Eidelman, 16 -- 19 September 2020, Chernivtsi, Ukraine: Abstracts. --- Institute of Mathematics of NAS of Ukraine, Yuriy Fedkovych Chernivtsi National University, 2020. --- P. 86 -- 87.
Atlasiuk O., Mikhailets V. On generic inhomogeneous boundary-value problems in Sobolev spaces // XI International Skorobohatko Mathematical Conference, 26 -- 30 October 2020, Lviv, Ukraine: Abstracts. --- National Academy of Sciences of Ukraine, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2020. --- P. 9.
Atlasiuk O. On linear generic inhomogeneous boundary-value problems for differential systems in Sobolev spaces // 3rd BYMAT (Bringing Young Mathematicians Together) Conference, 1 -- 3 December 2020, Valencia, Spain: Abstracts. --- University of Valencia, 2020. --- P. 60.
Atlasiuk Îlena, Mikhailets Vladimir. On generic inhomogeneous boundary-value problems for differential systems in Sobolev spaces // International Workshop on the Qualitative Theory of Differential Equations ''QUALITDE --- 2020'', 19 -- 21 December 2020, Tbilisi, Georgia: Abstracts. --- Tbilisi: A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 2020.~--- P. 22 -- 26.
Atlasiuk Î. Ì. One-dimensional Fredholm boundary-value problems with parameter// Seminar of young scientists of the Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine, 22 February 2021.
Atlasiuk O., Mikhailets V. On solvability of Fredholm inhomogeneous boundary-value problems in Sobolev spaces // The conference of young scientists ''Pidstryhach readings --- 2021'', 26 -- 28 May 2021, Lviv, Ukraine: Abstracts. --- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, 2021. --- P. 1 -- 2.
Atlasiuk Î. On linear generic boundary-value problems for differential systems in Sobolev spaces // International Conference of Young Mathematicians, 3 -- 5 June 2021, Kyiv, Ukraine: Abstracts. --- Kyiv: Institute of Mathematics of NAS of Ukraine, 2021. --- P. 46.
Workshop MCQM21 ''Mathematical Challenges in Quantum Mechanics'', 14 -- 15 June 2021 Como, Italy.
Satellite conference of the 8th European Congress of Mathematics ''Contemporary Analysis and Its Applications'', 16 -- 18 June 2021, Portorož, Slovenia.
Atlasiuk Î. On linear inhomogeneous boundary-value problems for differential systems in Sobolev spaces // The 8th European Congress of Mathematics (8ECM), 20 -- 26 June 2021, Portorož, Slovenia: Abstracts. --- Portorož: University of Primorska, 2021. --- P. 628 -- 629.
Atlasiuk Î. On generic boundary-value problems for differential system // Integrable Systems in Geometry and Mathematical Physics, Conference in Memory of Boris Dubrovin (online), 28 June -- 02 July 2021, Trieste, Italy: Abstracts. --- Trieste: Scuola Internazionale Superiore di Studi Avanzati (SISSA), 2021. --- P. 8.
Atlasiuk Î. On generic boundary-value problems for differential systems in Sobolev spaces // Online Summer School on Geometry and Topology, 7 July -- 6 August 2021, Hradec Králové, Czech Republic: Abstracts. --- Hradec Králové: University of Hradec Králové, 2021. --- P. 1.
Atlasiuk Î. On generic boundary-value problems for differential systems in Sobolev spaces // NSF/CBMS Conference: Gaussian Random Fields, Fractals, SPDEs, and Extremes, 2 -- 6 August 2021, Tuscaloosa, Alabama, United States: Abstracts. --- Tuscaloosa: The University of Alabama in Huntsville, 2021. --- P. 8.
Atlasiuk Îlena. On linear generic inhomogeneous boundary-value problems for differential systems in Sobolev spaces~// Proceedings of the 3rd BYMAT Conference (Bringing Young Mathematicians Together), 28 August 2021, Valencia, Spain: Proceedings of the Conference. --- the Universitat de València and the Universitat Politècnica de València, Vol. 2, 2021. --- P. 171 -- 174.
Conference ''Rencontre Poisson'', University of La Rochelle, La Rochelle, France, 21 -- 22 October 2021
The report ''On generic boundary-value problems for differential systems in Sobolev spaces'' at the seminar on Differential Equations and Integral Theory at the Evolution Differential Equations Department of the Institute of Mathematics of the Czech Academy of Sciences. Prague (Czech Republic), 24 March 2022.
Atlasiuk Îlena. On solvability of one-dimensional boundary-value problems in Sobolev spaces~// Generalized Functions Online Workshop dedicated to the international day for women in Mathematics and the birthday of Maryam Mirzakhani, 12 May 2022, Online: Abstracts. --- Technische Universität Wien, University of Novi Sad, University of Vienna, 2nd edition, 2022. --- P. 2.
Atlasiuk O.M., Mikhailets V.A. One-dimensional Fredholm boundary-value problems with a parameter in Sobolev spaces~// The international online conference ''Current trends in abstract and applied analysis'', 12--15 May 2022, Ivano-Frankivsk, Ukraine: Abstracts. --- Vasyl Stefanyk Precarpathian National University, 2022. --- P. 4.
Atlasiuk O. On solvability of inhomogeneous boundary-value problems in Sobolev spaces~// XXXII Seminar in Differential Equations, 23--27 May 2022, Alfrédov, Czech Republic: Abstracts. --- The Union of Czech Mathematicians and Physicists, 2022. --- P. 1.
Atlasiuk O. Linear ordinary differential systems with generic boundary conditions in Sobolev spaces // The conference of young scientists ''Pidstryhach readings --- 2022'', 25 -- 27 May 2022, Lviv, Ukraine: Abstracts. --- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, 2022. --- P. 1 -- 2.
Atlasiuk O. Linear boundary-value problems for ordinary differential systems with a parameter in Sobolev spaces // Interdisciplinary Conference on Multiple Scale Systems, Systems with Hysteresis and Fluid Mechanics ''MURPHYS 2022'', 29 May -- 3 June 2022, Ostravice, Czech Republic: Abstracts. --- Mathematical Institute of Silesian University in Opava, 2022. --- P. 14.
Atlasiuk O. On solvability of one-dimensional boundary-value problems in Sobolev spaces // The seminar ''Current Problems in Numerical Analysis'' of the Institute of Mathematics of the Czech Academy of Sciences. Prague, the Czech Republic, 10 June 2022.
Atlasiuk O. On Linear Inhomogeneous Boundary-Value Problems for Differential Systems in Sobolev Spaces // Third School and Workshop ''Mathematical Challenges in Quantum Mechanics'', 13 -- 18 June 2022, Como, Italy: Poster. --- University of Insubria, 2022.
Atlasiuk O. Linear ordinary differential systems with generic inhomogeneous boundary conditions in Sobolev spaces // Conference ''EQUADIFF 15'', 11 -- 15 July 2022, Brno, Czech Republic: Abstracts. --- Masaryk University, 2022. --- P. 36.
Summer School 2022, 14 July -- 12 August 2022, Hradec Králové, Czech Republic, University of Hradec Králové.
Atlasiuk O. On limit theorems for the solutions to multipoint inhomogeneous boundary-value problems with parameters in Sobolev spaces // Conference ''Differential Geometry and its Applications'', 17 -- 23 July 2022, Hradec Králové, Czech Republic: Abstracts. --- University of Hradec Králové, 2022. --- P. 50--51.
Atlasiuk O. On Linear Inhomogeneous Boundary-Value Problems for Differential Systems in Sobolev Spaces // European Women in Mathematics General Meeting 2022 (EWM GM 2022), 22 -- 26 August 2022, Espoo, Finland: Poster. --- Aalto University, 2022.
Atlasiuk O. Linear ordinary differential systems with generic boundary conditions in Sobolev spaces // IWOTA 2022, 6 -- 10 September 2022, Krak\'{o}w, Republic of Poland: Abstracts. Jagiellonian University, University of Agriculture, AGH University of Science and Technology, P. 1.
Atlasiuk, O. Linear boundary-value problems for differential systems
with a parameter in Sobolev spaces // On the Trail of Women in Mathematics, 15 -- 17 September 2022, Gda\'{n}sk, Republic of Poland: Abstracts. Gda\'{n}sk University of Technology, P. 20.
Atlasiuk O. On Linear Inhomogeneous Boundary-Value Problems for Differential Systems in Sobolev Spaces // The 9th Heidelberg Laureate Forum 2022, 18 -- 23 September 2022, Heidelberg, Federal Republic of Germany: Poster.
Atlasiuk O. Limit theorems for solutions to onedimensional boundary-value problems in Sobolev spaces // Conference ''Asymptotic analysis and spectral theory'', 26 -- 30 September 2022, Oldenburg, Federal Republic of Germany: Abstracts. Carl von Ossietzky University of Oldenburg.
Atlasiuk O. On linear ordinary differential systems with generic boundary conditions in Sobolev spaces // Czech Technical University, Faculty of Nuclear Physics. Seminar, 8 November 2022.
Atlasiuk O. On the solvability of inhomogeneous boundary-value problems in Sobolev spaces // 4th BYMAT (Bringing Young Mathematicians Together) Conference, 9 -- 11 November 2022, Valencia, Spain: Abstracts. --- University of Valencia, 2022. --- P. 53.
Atlasiuk, O. On differential systems in Sobolev spaces with generic inhomogeneous boundary conditions. Generalized Functions Online Workshop dedicated to the international day for women in Mathematics and the birthday of Maryam Mirzakhani, 12 May 2023, Online: Abstracts. Technische Universitat Wien, University of Novi Sad, University of Vienna, 3rd edition P. 5.
Atlasiuk, O. On solvability of generic boundary-value problems. International Conference of Young Mathematicians, 1-3 June 2023, Online: Abstracts. Institute of Mathematics of the National Academy of Sciences of Ukraine, P. 1-2.
Atlasiuk, O. Solvability and continuity in a parameter of solutions of differential systems with generic boundary conditions. International Workshop on Functional Analysis and Quantum Physics: interplay, challenges, perspectives, 5 -- 9 June 2023, Palermo, Italy: Abstracts. Universit\`{a} degli Studi di Palermo, P. 3.
Conference ''Contemporary Analysis and Its Applications'' (CAIA 2023), Portoro\v{z}, Slovenia, June 2023 (Poster)
School ''Spectral theory and geometry of ergodic Schr\"{o}dinger operators'', Potsdam, Germany, August 2023 (Poster)
School ''Numbers in the universe: latest advances in number theory and its applications'', Warsaw, Poland, July 2023 (Listener)
Atlasiuk, O. Approximation of solutions to generic boundary-value problems in Sobolev spaces. International conference on spectral theory and approximation, 14 -- 18 August 2023, Lund, Sweden: Abstracts. Lund University, P. 6.
TRIeste: Topological Recursion and Integrability, Trieste, Italy, September 2023 (Listener)
Atlasiuk, O.; Mikhailets, V. On the Fredholm numbers of inhomogeneous boundary-value problems in Slobodecki spaces. International scientific conference ''Mathematics and Information Technologies'' dedicated to the 55th anniversary of the faculty mathematics and informatics, 28 -- 30 September 2023, Chernivtsi, Ukraine: Abstracts. Yuri Fedkovich Chernivtsi National University, P. 1--2.
10th Heidelberg Laureate Forum 2023, Heidelberg , Germany, September 2023 (Poster)
Atlasiuk, O.; Mikhailets, V. Approximation of solutions to generic boundary-value problems in Sobolev spaces. Workshop ''Complex Dynamical Systems: theory, mathematical modelling, computing and application'', 2 -- 4 October 2023, Kyiv, Ukraine: Abstracts. Institute of Mathematics of the National Academy of Sciences of Ukraine, P. 1.
Atlasiuk, O. Approximation of solutions to generic boundary-value problems in Sobolev spaces. Conference on Trends in Analysis 2023, 4 -- 6 October 2023, Duisburg, Germany: Abstracts. University of Duisburg-Essen, P. 14.
Atlasiuk, O. Approximation of solutions to generic boundary-value problems in Sobolev spaces. XIX International Scientific
Mykhailo Kravchuk Conference, dedicated to the 125th anniversary of Igor Sikorsky Kyiv Polytechnic Institute, 11 -- 12 October 2023, Kyiv, Ukraine: Abstracts. Igor Sikorsky Kyiv Polytechnic Institute, P. 14--15.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems in Sobolev spaces // XIIIth Summer School ''Analysis, Topology and Applications'', 29 July -- 11 August 2018, Vyzhnytsya town, Chernivtsi region, Ukraine: Abstracts. --- Yuriy Fedkovych Chernivtsi National University, Ivan Franko National University of Lviv, 2018. --- P. 56.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems in Sobolev spaces // International scientific conference ''Modern problems of mathematics and its application in natural sciences and information technologies'' dedicated to the 50th anniversary of the Faculty of Mathematics and Informatics, 17 -- 19 September 2018, Chernivtsi, Ukraine: Abstracts. --- Chernivtsi: Yuriy Fedkovych Chernivtsi National University, 2018. --- P. 13.
Atlasiuk Î. Ì. Limit theorems for solutions of multipoint boundary-value problems in Sobolev spaces // International Conference of Young Mathematicians, 6 -- 8 June 2019, Kyiv, Ukraine: Abstracts. --- Kyiv: Institute of Mathematics of NAS of Ukraine, 2019. --- P. 49.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces // International Conference ''Functional Methods in Approximation Theory, Differential Equations and Numerical Mathematics IV'', dedicated to the 100th anniversary of V. K. Dzyadyk (1919 -- 1998), 20 -- 26 June 2019, Svityaz' village, Volyn' region, Ukraine: Abstracts. --- Institute of Mathematics of NAS of Ukraine, Taras Shevchenko National University of Kyiv, Lesya Ukrainka Eastern European National University, 2019. --- P. 70 -- 71.
Summer School ''Geometry and Topology'', 1 -- 31 August 2019, Hradec Králové, Czech Republic, University of Hradec Králové.
Atlasiuk Î. Ì. On Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces // International conference ''Problems of Theoretical and Mathematical Physics'' dedicated to the 110th anniversary of M.M. Bogolyubov (1909 -- 1992), 24 -- 26 September 2019, Kyiv, Ukraine: Abstracts. --- Kyiv: Bogolyubov Institute for Theoretical Physics of NAS of Ukraine, Institute of Mathematics of NAS of Ukraine, 2019. --- P. 91.
Atlasiuk Îlena, Mikhailets Vladimir. On linear boundary-value problems for differential systems in Sobolev spaces // International Workshop on the Qualitative Theory of Differential Equations ''QUALITDE --- 2019'', 7 -- 9 December 2019, Tbilisi, Georgia: Abstracts. --- Tbilisi: A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 2019.~--- P. 19 -- 22.
Atlasiuk Î. Ì. On linear boundary-value problems for differential systems in Sobolev spaces // International Conference ''Supergeometry, Supersymmetry and Quantization'', 16 -- 19 December 2019, Esch-sur-Alzette, Grand Duchy of Luxembourg. (poster session)
Atlasiuk Î. Ì. On Fredholm boundary-value problems with a parameter in Sobolev spaces // Seminar ''Spectral and boundary-value problems'' of Laboratory of differential equations with partial derivatives of the Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine (seminar leader: Professor V. À. Mikhailets), 11 February 2020.
Atlasiuk Î. Ì. On solvability of one-dimensional boundary-value problems in Sobolev spaces~// International scientific and practical conference ''Shevchenkivska Vesna --- 2020: Mathematics, statistics, mechanics. Applied mathematics, computer science, software engineering, system analysis'', 15 -- 16 April 2020, Kyiv, Ukraine: Abstracts. --- Taras Shevchenko National University of Kyiv, 2020. --- P. 5 -- 6.
Atlasiuk O., Mikhailets V. On continuity in a parameter of solutions to inhomogeneous boundary-value problems in Sobolev spaces // The conference of young scientists ''Pidstryhach readings --- 2020'', 26 -- 28 May 2020, Lviv, Ukraine: Abstracts. --- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, 2020. --- P. 1 -- 2.
Atlasiuk Î. Ì. One-dimensional Fredholm boundary-value problems with parameter// Common meeting of Departments Differential equations and oscillation theory and Nonlinear analysis of Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine (meeting leaders: Academician of the NAS of Ukraine À. Ì. Samoilenko, Corresponding Member of the NAS of Ukraine À. N. Kochubei), 15 September 2020.
Atlasiuk O., Mikhailets V. On limit theorems for solutions of multipoint boundary-value problems with parameter in Sobolev spaces // International scientific conference "Modern problems of Differential Equations and their application",
dedicated to the 100th anniversary of the professor S.D. Eidelman, 16 -- 19 September 2020, Chernivtsi, Ukraine: Abstracts. --- Institute of Mathematics of NAS of Ukraine, Yuriy Fedkovych Chernivtsi National University, 2020. --- P. 86 -- 87.
Atlasiuk O., Mikhailets V. On generic inhomogeneous boundary-value problems in Sobolev spaces // XI International Skorobohatko Mathematical Conference, 26 -- 30 October 2020, Lviv, Ukraine: Abstracts. --- National Academy of Sciences of Ukraine, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2020. --- P. 9.
Atlasiuk O. On linear generic inhomogeneous boundary-value problems for differential systems in Sobolev spaces // 3rd BYMAT (Bringing Young Mathematicians Together) Conference, 1 -- 3 December 2020, Valencia, Spain: Abstracts. --- University of Valencia, 2020. --- P. 60.
Atlasiuk Îlena, Mikhailets Vladimir. On generic inhomogeneous boundary-value problems for differential systems in Sobolev spaces // International Workshop on the Qualitative Theory of Differential Equations ''QUALITDE --- 2020'', 19 -- 21 December 2020, Tbilisi, Georgia: Abstracts. --- Tbilisi: A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 2020.~--- P. 22 -- 26.
Atlasiuk Î. Ì. One-dimensional Fredholm boundary-value problems with parameter// Seminar of young scientists of the Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine, 22 February 2021.
Atlasiuk O., Mikhailets V. On solvability of Fredholm inhomogeneous boundary-value problems in Sobolev spaces // The conference of young scientists ''Pidstryhach readings --- 2021'', 26 -- 28 May 2021, Lviv, Ukraine: Abstracts. --- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, 2021. --- P. 1 -- 2.
Atlasiuk Î. On linear generic boundary-value problems for differential systems in Sobolev spaces // International Conference of Young Mathematicians, 3 -- 5 June 2021, Kyiv, Ukraine: Abstracts. --- Kyiv: Institute of Mathematics of NAS of Ukraine, 2021. --- P. 46.
Workshop MCQM21 ''Mathematical Challenges in Quantum Mechanics'', 14 -- 15 June 2021 Como, Italy.
Satellite conference of the 8th European Congress of Mathematics ''Contemporary Analysis and Its Applications'', 16 -- 18 June 2021, Portorož, Slovenia.
Atlasiuk Î. On linear inhomogeneous boundary-value problems for differential systems in Sobolev spaces // The 8th European Congress of Mathematics (8ECM), 20 -- 26 June 2021, Portorož, Slovenia: Abstracts. --- Portorož: University of Primorska, 2021. --- P. 628 -- 629.
Atlasiuk Î. On generic boundary-value problems for differential system // Integrable Systems in Geometry and Mathematical Physics, Conference in Memory of Boris Dubrovin (online), 28 June -- 02 July 2021, Trieste, Italy: Abstracts. --- Trieste: Scuola Internazionale Superiore di Studi Avanzati (SISSA), 2021. --- P. 8.
Atlasiuk Î. On generic boundary-value problems for differential systems in Sobolev spaces // Online Summer School on Geometry and Topology, 7 July -- 6 August 2021, Hradec Králové, Czech Republic: Abstracts. --- Hradec Králové: University of Hradec Králové, 2021. --- P. 1.
Atlasiuk Î. On generic boundary-value problems for differential systems in Sobolev spaces // NSF/CBMS Conference: Gaussian Random Fields, Fractals, SPDEs, and Extremes, 2 -- 6 August 2021, Tuscaloosa, Alabama, United States: Abstracts. --- Tuscaloosa: The University of Alabama in Huntsville, 2021. --- P. 8.
Atlasiuk Îlena. On linear generic inhomogeneous boundary-value problems for differential systems in Sobolev spaces~// Proceedings of the 3rd BYMAT Conference (Bringing Young Mathematicians Together), 28 August 2021, Valencia, Spain: Proceedings of the Conference. --- the Universitat de València and the Universitat Politècnica de València, Vol. 2, 2021. --- P. 171 -- 174.
Conference ''Rencontre Poisson'', University of La Rochelle, La Rochelle, France, 21 -- 22 October 2021
The report ''On generic boundary-value problems for differential systems in Sobolev spaces'' at the seminar on Differential Equations and Integral Theory at the Evolution Differential Equations Department of the Institute of Mathematics of the Czech Academy of Sciences. Prague (Czech Republic), 24 March 2022.
Atlasiuk Îlena. On solvability of one-dimensional boundary-value problems in Sobolev spaces~// Generalized Functions Online Workshop dedicated to the international day for women in Mathematics and the birthday of Maryam Mirzakhani, 12 May 2022, Online: Abstracts. --- Technische Universität Wien, University of Novi Sad, University of Vienna, 2nd edition, 2022. --- P. 2.
Atlasiuk O.M., Mikhailets V.A. One-dimensional Fredholm boundary-value problems with a parameter in Sobolev spaces~// The international online conference ''Current trends in abstract and applied analysis'', 12--15 May 2022, Ivano-Frankivsk, Ukraine: Abstracts. --- Vasyl Stefanyk Precarpathian National University, 2022. --- P. 4.
Atlasiuk O. On solvability of inhomogeneous boundary-value problems in Sobolev spaces~// XXXII Seminar in Differential Equations, 23--27 May 2022, Alfrédov, Czech Republic: Abstracts. --- The Union of Czech Mathematicians and Physicists, 2022. --- P. 1.
Atlasiuk O. Linear ordinary differential systems with generic boundary conditions in Sobolev spaces // The conference of young scientists ''Pidstryhach readings --- 2022'', 25 -- 27 May 2022, Lviv, Ukraine: Abstracts. --- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, 2022. --- P. 1 -- 2.
Atlasiuk O. Linear boundary-value problems for ordinary differential systems with a parameter in Sobolev spaces // Interdisciplinary Conference on Multiple Scale Systems, Systems with Hysteresis and Fluid Mechanics ''MURPHYS 2022'', 29 May -- 3 June 2022, Ostravice, Czech Republic: Abstracts. --- Mathematical Institute of Silesian University in Opava, 2022. --- P. 14.
Atlasiuk O. On solvability of one-dimensional boundary-value problems in Sobolev spaces // The seminar ''Current Problems in Numerical Analysis'' of the Institute of Mathematics of the Czech Academy of Sciences. Prague, the Czech Republic, 10 June 2022.
Atlasiuk O. On Linear Inhomogeneous Boundary-Value Problems for Differential Systems in Sobolev Spaces // Third School and Workshop ''Mathematical Challenges in Quantum Mechanics'', 13 -- 18 June 2022, Como, Italy: Poster. --- University of Insubria, 2022.
Atlasiuk O. Linear ordinary differential systems with generic inhomogeneous boundary conditions in Sobolev spaces // Conference ''EQUADIFF 15'', 11 -- 15 July 2022, Brno, Czech Republic: Abstracts. --- Masaryk University, 2022. --- P. 36.
Summer School 2022, 14 July -- 12 August 2022, Hradec Králové, Czech Republic, University of Hradec Králové.
Atlasiuk O. On limit theorems for the solutions to multipoint inhomogeneous boundary-value problems with parameters in Sobolev spaces // Conference ''Differential Geometry and its Applications'', 17 -- 23 July 2022, Hradec Králové, Czech Republic: Abstracts. --- University of Hradec Králové, 2022. --- P. 50--51.
Atlasiuk O. On Linear Inhomogeneous Boundary-Value Problems for Differential Systems in Sobolev Spaces // European Women in Mathematics General Meeting 2022 (EWM GM 2022), 22 -- 26 August 2022, Espoo, Finland: Poster. --- Aalto University, 2022.
Atlasiuk O. Linear ordinary differential systems with generic boundary conditions in Sobolev spaces // IWOTA 2022, 6 -- 10 September 2022, Krak\'{o}w, Republic of Poland: Abstracts. Jagiellonian University, University of Agriculture, AGH University of Science and Technology, P. 1.
Atlasiuk, O. Linear boundary-value problems for differential systems
with a parameter in Sobolev spaces // On the Trail of Women in Mathematics, 15 -- 17 September 2022, Gda\'{n}sk, Republic of Poland: Abstracts. Gda\'{n}sk University of Technology, P. 20.
Atlasiuk O. On Linear Inhomogeneous Boundary-Value Problems for Differential Systems in Sobolev Spaces // The 9th Heidelberg Laureate Forum 2022, 18 -- 23 September 2022, Heidelberg, Federal Republic of Germany: Poster.
Atlasiuk O. Limit theorems for solutions to onedimensional boundary-value problems in Sobolev spaces // Conference ''Asymptotic analysis and spectral theory'', 26 -- 30 September 2022, Oldenburg, Federal Republic of Germany: Abstracts. Carl von Ossietzky University of Oldenburg.
Atlasiuk O. On linear ordinary differential systems with generic boundary conditions in Sobolev spaces // Czech Technical University, Faculty of Nuclear Physics. Seminar, 8 November 2022.
Atlasiuk O. On the solvability of inhomogeneous boundary-value problems in Sobolev spaces // 4th BYMAT (Bringing Young Mathematicians Together) Conference, 9 -- 11 November 2022, Valencia, Spain: Abstracts. --- University of Valencia, 2022. --- P. 53.
Atlasiuk, O. On differential systems in Sobolev spaces with generic inhomogeneous boundary conditions. Generalized Functions Online Workshop dedicated to the international day for women in Mathematics and the birthday of Maryam Mirzakhani, 12 May 2023, Online: Abstracts. Technische Universitat Wien, University of Novi Sad, University of Vienna, 3rd edition P. 5.
Atlasiuk, O. On solvability of generic boundary-value problems. International Conference of Young Mathematicians, 1-3 June 2023, Online: Abstracts. Institute of Mathematics of the National Academy of Sciences of Ukraine, P. 1-2.
Atlasiuk, O. Solvability and continuity in a parameter of solutions of differential systems with generic boundary conditions. International Workshop on Functional Analysis and Quantum Physics: interplay, challenges, perspectives, 5 -- 9 June 2023, Palermo, Italy: Abstracts. Universit\`{a} degli Studi di Palermo, P. 3.
Conference ''Contemporary Analysis and Its Applications'' (CAIA 2023), Portoro\v{z}, Slovenia, June 2023 (Poster)
School ''Spectral theory and geometry of ergodic Schr\"{o}dinger operators'', Potsdam, Germany, August 2023 (Poster)
School ''Numbers in the universe: latest advances in number theory and its applications'', Warsaw, Poland, July 2023 (Listener)
Atlasiuk, O. Approximation of solutions to generic boundary-value problems in Sobolev spaces. International conference on spectral theory and approximation, 14 -- 18 August 2023, Lund, Sweden: Abstracts. Lund University, P. 6.
TRIeste: Topological Recursion and Integrability, Trieste, Italy, September 2023 (Listener)
Atlasiuk, O.; Mikhailets, V. On the Fredholm numbers of inhomogeneous boundary-value problems in Slobodecki spaces. International scientific conference ''Mathematics and Information Technologies'' dedicated to the 55th anniversary of the faculty mathematics and informatics, 28 -- 30 September 2023, Chernivtsi, Ukraine: Abstracts. Yuri Fedkovich Chernivtsi National University, P. 1--2.
10th Heidelberg Laureate Forum 2023, Heidelberg , Germany, September 2023 (Poster)
Atlasiuk, O.; Mikhailets, V. Approximation of solutions to generic boundary-value problems in Sobolev spaces. Workshop ''Complex Dynamical Systems: theory, mathematical modelling, computing and application'', 2 -- 4 October 2023, Kyiv, Ukraine: Abstracts. Institute of Mathematics of the National Academy of Sciences of Ukraine, P. 1.
Atlasiuk, O. Approximation of solutions to generic boundary-value problems in Sobolev spaces. Conference on Trends in Analysis 2023, 4 -- 6 October 2023, Duisburg, Germany: Abstracts. University of Duisburg-Essen, P. 14.
Atlasiuk, O. Approximation of solutions to generic boundary-value problems in Sobolev spaces. XIX International Scientific
Mykhailo Kravchuk Conference, dedicated to the 125th anniversary of Igor Sikorsky Kyiv Polytechnic Institute, 11 -- 12 October 2023, Kyiv, Ukraine: Abstracts. Igor Sikorsky Kyiv Polytechnic Institute, P. 14--15.
Miscellaneous
- Member of the Council of Young Scientists of Institute of Mathematics of the National Academy of Sciences of Ukraine (2019 - 2022).
- Holder of a fellowship of the National Academy of Sciences of Ukraine for young scientists (May 2021 - March 2022).
- Secretary of the Council of Young Scientists of Department of Mathematics of the National Academy of Sciences of Ukraine (June 2021 - until now).
Neuron Endowment Fund, 2022, for young Ukrainian scientists.
Acknowledgment of the Kyiv City Mayor, May 20, 2023
Scientific research work for young scientists of the NAS of Ukraine, 2021 -- 2022, 0121U111949, performer.
Research project of T. Shevchenko National University and NASU, 2022--2023, 3M--2022, performer.
European Women in Mathematics, from 2022, coordinator.
European Mathematical Society Young Academy, from 2023, member.
Kyiv Mathematical Society, from 2023, member.
Council of Young Scientists, from 2023 NAS of Ukraine, member.
- Holder of a fellowship of the National Academy of Sciences of Ukraine for young scientists (May 2021 - March 2022).
- Secretary of the Council of Young Scientists of Department of Mathematics of the National Academy of Sciences of Ukraine (June 2021 - until now).
Neuron Endowment Fund, 2022, for young Ukrainian scientists.
Acknowledgment of the Kyiv City Mayor, May 20, 2023
Scientific research work for young scientists of the NAS of Ukraine, 2021 -- 2022, 0121U111949, performer.
Research project of T. Shevchenko National University and NASU, 2022--2023, 3M--2022, performer.
European Women in Mathematics, from 2022, coordinator.
European Mathematical Society Young Academy, from 2023, member.
Kyiv Mathematical Society, from 2023, member.
Council of Young Scientists, from 2023 NAS of Ukraine, member.