Omuraliev Asan Sydygalievich
Professor, Doctor of Ph.D.
1. Education: academic and academic degrees, professional qualifications, disciplines taught, time spent working in this organization:
Higher education, Kyrgyz State National University, Faculty of Mechanics and Mathematics, qualification: mathematics teacher (1961-1969)
Time and period of work at KSTU from September 2, 2024 to the present. Professor
Academic degree of Doctor of Physical and Mathematical Sciences
2. Academic experience: previous jobs in educational institutions, disciplines taught, departments, etc., full-time or part-time:
1979-1984: Kyrgyz Agricultural Institute (KSHI), Senior lecturer, Associate Professor
1984-1988: Republican Computing Center of the Ministry of Higher Education of the Kyrgyz Republic, Head of Department, Deputy Director
1988-1990: Kyrgyz State University, Head of Department
1990-1994: Ysyk-Kul State University, Head of Department, Vice-rector
1994-1998: Academy of Management under the President of the Kyrgyz Republic, Vice-rector
1998-2024: Kyrgyz-Turkish Manas University, Professor, Head of the Department
3. The most important publications and presentations over the past five years – the title, co-authors (if any), where it was published and/or presented, the date of publication or presentation.
Scientific publications
1. Omuraliev A.S. Numerical solution of a singularly perturbed parabolic reaction-diffusion equation. In the collection of scientific papers dedicated to the 100th anniversary of the birth of Sergei Alexandrovich Lomov. M. 2023. pp. 81-87.
2. Omuraliev A.S., Abylaeva E.D. Asymptotics of solving a hyperbolic problem. In the same collection. M. 2023. pp. 73-80.
3. A. S. Omuraliev, Esengul kyzy. Power-law boundary layer in the hyperbolic system differential equations. In the materials of the International Conference dedicated to the 100th anniversary of S.A. Lomov, Moscow, November 24-25, 2022, p. 47.
4. A. S. Omuraliev and P. Esengul kyzy. A Singularly Perturbed System of Parabolic Equations. Lobachevskii Journal of Mathematics, 2021, Vol. 42, No. 15, pp. 3696–3704.
5. Asan Omuraliev, Ella Abylaeva. Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System. Journal of Mathematical Sciences, Vol. 264, No. 4, July 2022, pp. 415-422.
6. S. Omuraliev and E. Abylaeva. Singularly Perturbed Multidimensional Parabolic Equation with Rapidly Oscillating Free Term. Ukrainian Mathematical Journal, Vol. 73, No. 12, May 2022.
7. Omuraliev A.S., Abylaeva E.D. Singularly perturbed multidimensional parabolic equation with a rapidly oscillating free term. Journal, 2021, vol. 73, No. 12.
8. A.S. Omuraliev and E. Abylaeva. Asymptotics of the Solution of a Parabolic Problem with a Nonsmooth Boundary Layer Function. 4th International Ankara Multidisciplinary Studies Congress, July 29-31, 2022, Ankara, Türkiye.
9. A.S. Omuraliev and Mederbek kyzy A. Finite Element Method for Solving Ordinary Differential Equations with the Parameter. Herald of Institute of Mathematics of NAS of KR, Bishkek 2022, №1, pp. 66-71.
10. Asan Omuraliev and Peil Esengul Kyzy. Chapter: A System of Singularly Perturbed Parabolic Equations with a Power Boundary Layer. Licensee IntechOpen. Chapter distributed under the terms of the Creative Commons Attribution License.
11. Asan Omuralieva, Ella Abylaeva. Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations. Filomat 36:16 (2022), 5591–5602.
12. Asan Omuraliev, Ella Abylaeva. Asymptotics of the solution of the hyperbolic system with a small parameter. MANAS Journal of Engineering, Volume 10, Issue 2, (2022), Pages 188-192.
13. A. S. Omuraliev, E. D. Abylaeva, and P. Esengul kyzy. Parabolic Problem with a Power-Law Boundary Layer. Differential Equations, 2021, Vol. 57, No. 1, pp. 75–85.
14. Omuraliev A.S., Abylaeva E.D., Esengul Kyzyl. A parabolic problem with a power-law boundary layer. Differential Equations, 2021, vol. 57, No. 1, pp. 67-77.
15. Asan Omuraliev, Ella Abylaeva. Asymptotics of the solution of a hyperbolic system with a small parameter. Abstracts of the international scientific conference "Problems of modern mathematics and its applications". Bishkek-2021. p. 93.
16. Asan Omuraliev, S.Kulmanbetova, P.Esengul kyzy. Asymptotics of the solution of a first-order partial differential equation with a small parameter. Abstracts of the international scientific conference "Problems of modern mathematics and its applications". Bishkek-2021. p. 94.
17. Asan Omuraliev, P.Esengul kyzy. Asymptotics of the solution of a first-order partial differential equation with a power boundary layer. Abstracts of the international scientific conference "Problems of modern mathematics and its applications". Bishkek-2021. p. 95.
18. Omuraliev A.S., Kozhobaev K.A., Sulaimanov K. Yktymaldyktar theory of Jean mathematikalyk statisticas. KR bilim beryu zhana ilim ministerliga. Okuu kitebi. Bishkek. 2020.
19. Asan Omuraliev, P.Esengul kyzy. Asymptotics of the Solution of a Parabolic System with an Irreversible Limit Operator. Mathematical Analysis, Differential Equations & Applications (MADEA-9) International Conference Abstracts. Bishkek: KTMU, 2021. pp. 53-54.
20. Asan Omuraliev, Ella Abylaeva. Asymptotics of the solution of parabolic problems with nonsmooth boundary functions. Mathematical Analysis, Differential Equations & Applications (MADEA-9) International Conference Abstracts. Bishkek: KTMU, 2021. pp. 52-53.
21. Asan Omuralieva, Ella Abylaeva. Singularly Perturbed Parabolic Problems. Boundary Layer Flows Theory, Applications and Numerical Methods, 2020, pp. 175-191.
22. A. S. Omuraliev, E. Abylaeva, and P. Esengul kyzy. A System of Singularly Perturbed Parabolic Equations with a Power Boundary Layer. Lobachevskii Journal of Mathematics, 2020, Vol. 41, No. 1, pp. 71–79.
23. Gülgün Afacan Adanır, Rita İsmailova, Asan Omuraliev, and Gulshat Muhametjanova. Learners’ Perceptions of Online Exams: A Comparative Study in Turkey and Kyrgyzstan. International Review of Research in Open and Distributed Learning, 2020, Volume 21, Number 3, pp. 1-17.
24. Omuraliev A.S. Numerical solution of a singularly perturbed parabolic problem. The current collapse of science: Abstracts of the XI International Scientific and Practical Internet Conference, October 8-9, 2020, Dnipro. pp. 118-119.
25. Asan Omuralieva, Ella Abylaeva. Singularly Perturbed Parabolic Problem with Oscillating Initial Condition. Filomat 33:5 (2019), 1323–1327.
26. Asan Omuralieva, Peil Esengul Kyzya. Asymptotics of Solution to the Nonstationary Schrödinger Equation. Filomat 33:5 (2019), 1361–1368.
27. Omuraliev A.S. Asymptotics of solving a system of linear equations of parabolic type with a small parameter. Differential Equations, 2019, volume 55, No.6, pp. 878-882.
28. Omuraliev A. S. Asymptotics of the Solution of a Parabolic Linear System with a Small Parameter. Differential Equations, 2019, Vol. 55, No. 6, pp. 878-882.
29. Asan Omuraliev, Ella Abylaeva. Two-dimensional parabolic problem with a rapidly oscillating free term. Manas Journal of Engineering, Vol. 7 (Issue 1) (2019) Pages 52-59.
30. Asan S. Omuraliev, Élla D. Abylaeva. Ordinary differential equations with power boundary layers. Journal of Mathematical Sciences, Vol. 242, No. 3, October, 2019, pp. 427–431. DOI: 10.1007/s10958-019-04487-4.
Methodological guidelines
1. Probability theory and mathematical statistics. Bishkek, 2023.
2. Numerical methods. Bishkek, 2024.
4. Main research interests
Differential equations, dynamical systems and optimal control
