Atlasiuk Olena Mykolaivna
Publications
1. Kovtunenko V.A., Atlasiuk O.M. Poroelastic Medium with Non-Penetrating Crack Driven by Hydraulic Fracture: FEM Approximation Using HHT-α and Semi-Smooth Newton Methods. Algorithms. 2025; 18(9):579. https://doi.org/10.3390/a18090579
2. Mikhailets, V.A.; Atlasiuk, O.M. Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces. Carpathian Math. Publ. 2025, 17, 2, 433--446. https://doi:10.15330/cmp.17.2.433-446
3. Mikhailets, V.; Atlasiuk, O. Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions. Carpathian Math. Publ. 2024, 16, 2, 523–538. https://doi.org/10.15330/cmp.16.2.523-538
4. Atlasiuk, O.; Mikhailets, V. On differential systems in Sobolev spaces with generic inhomogeneous boundary conditions. Trends in Mathematics, 2024, 5, pp. 37–47. https://doi.org/10.1007/978-3-031-57005-6_5
5. Mikhailets, V.; Atlasiuk, O. The solvability of inhomogeneous boundary-value problems in Sobolev spaces. Banach Journal of Mathematical Analysis, V. 18(2), 12 (2024), https://link.springer.com/article/10.1007/s43037-023-00316-8
6. Atlasiuk, O.; Mikhailets, V., Skorobohach T. On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces. Ukrainian Math. J. 75 (2023), no. 1, 107–117. https://link.springer.com/article/10.1007/s11253-023-02188-5
7. Atlasiuk, O. M. Limit theorems for solutions of multipoint boundary-value problems with a parameter in Sobolev spaces. Ukrainian Math. J. 72 (2021), no. 8, 1175–1184. https://link.springer.com/article/10.1007/s11253-020-01859-x
8. Atlasiuk, O. M.; Mikhailets, V. A. On Fredholm parameter-dependent boundary-value problems in Sobolev spaces. Dopov. Nac. akad. nauk Ukr. (2020), no. 6, 3–6. https://doi.org/10.15407/dopovidi2020.06.003
9. Atlasiuk, O. M. Limit theorems for solutions of multipoint boundary-value problems in Sobolev spaces. J. Math. Sci. 247 (2020), no. 2, 238–247. https://link.springer.com/article/10.1007/s10958-020-04799-w
10. Atlasiuk, O. M.; Mikhailets, V. A. On solvability of inhomogeneous boundary-value problems in Sobolev spaces. Dopov. Nac. akad. nauk Ukr. (2019), no. 11, 3–7. http://dopovidi-nanu.org.ua/en/archive/2019/11/1
11. Atlasiuk, O. M.; Mikhailets, V. A. Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces. Ukrainian Math. J. 70 (2019), no. 11, 1677–1687. https://link.springer.com/article/10.1007/s11253-019-01599-7
12. Atlasiuk, O. M.; Mikhailets, V. A. Fredholm one-dimensional boundary-value problems in Sobolev spaces. Ukrainian Math. J. 70 (2019), no. 10, 1526–1537. https://link.springer.com/article/10.1007/s11253-019-01588-w
Preprints
1. Atlasiuk, O.; Heibig, A.; Petrov, A. Weak solutions for a singular beam equation (2024) https://arxiv.org/abs/2405.11369
2. Mikhailets, V.A.; Atlasiuk, O.M. Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces. Carpathian Math. Publ. 2025, 17, 2, 433--446. https://doi:10.15330/cmp.17.2.433-446
3. Mikhailets, V.; Atlasiuk, O. Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions. Carpathian Math. Publ. 2024, 16, 2, 523–538. https://doi.org/10.15330/cmp.16.2.523-538
4. Atlasiuk, O.; Mikhailets, V. On differential systems in Sobolev spaces with generic inhomogeneous boundary conditions. Trends in Mathematics, 2024, 5, pp. 37–47. https://doi.org/10.1007/978-3-031-57005-6_5
5. Mikhailets, V.; Atlasiuk, O. The solvability of inhomogeneous boundary-value problems in Sobolev spaces. Banach Journal of Mathematical Analysis, V. 18(2), 12 (2024), https://link.springer.com/article/10.1007/s43037-023-00316-8
6. Atlasiuk, O.; Mikhailets, V., Skorobohach T. On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces. Ukrainian Math. J. 75 (2023), no. 1, 107–117. https://link.springer.com/article/10.1007/s11253-023-02188-5
7. Atlasiuk, O. M. Limit theorems for solutions of multipoint boundary-value problems with a parameter in Sobolev spaces. Ukrainian Math. J. 72 (2021), no. 8, 1175–1184. https://link.springer.com/article/10.1007/s11253-020-01859-x
8. Atlasiuk, O. M.; Mikhailets, V. A. On Fredholm parameter-dependent boundary-value problems in Sobolev spaces. Dopov. Nac. akad. nauk Ukr. (2020), no. 6, 3–6. https://doi.org/10.15407/dopovidi2020.06.003
9. Atlasiuk, O. M. Limit theorems for solutions of multipoint boundary-value problems in Sobolev spaces. J. Math. Sci. 247 (2020), no. 2, 238–247. https://link.springer.com/article/10.1007/s10958-020-04799-w
10. Atlasiuk, O. M.; Mikhailets, V. A. On solvability of inhomogeneous boundary-value problems in Sobolev spaces. Dopov. Nac. akad. nauk Ukr. (2019), no. 11, 3–7. http://dopovidi-nanu.org.ua/en/archive/2019/11/1
11. Atlasiuk, O. M.; Mikhailets, V. A. Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces. Ukrainian Math. J. 70 (2019), no. 11, 1677–1687. https://link.springer.com/article/10.1007/s11253-019-01599-7
12. Atlasiuk, O. M.; Mikhailets, V. A. Fredholm one-dimensional boundary-value problems in Sobolev spaces. Ukrainian Math. J. 70 (2019), no. 10, 1526–1537. https://link.springer.com/article/10.1007/s11253-019-01588-w
Preprints
1. Atlasiuk, O.; Heibig, A.; Petrov, A. Weak solutions for a singular beam equation (2024) https://arxiv.org/abs/2405.11369