电邮这篇文章 ON THE ASYMPTOTICS OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS OF ODD ORDER
- 作者: Sultanaev Y.T1,2, Mardanov B.I2, Nazirova E.A3
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隶属关系:
- Moscow Center for Fundamental and Applied Mathematics
- Akmulla Bashkir State Pedagogical University
- Ufa University of Science and Technology
- 期: 卷 61, 编号 2 (2025)
- 页面: 221-228
- 栏目: ORDINARY DIFFERENTIAL EQUATIONS
- URL: https://ogarev-online.ru/0374-0641/article/view/299127
- DOI: https://doi.org/10.31857/S0374064125020079
- EDN: https://elibrary.ru/HWORFY
- ID: 299127
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详细
The asymptotic behavior for large values of the independent variable of the fundamental system of solutions of linear differential equations generated by a symmetric two-term differential expression of arbitrary odd order is investigated, depending on the coefficients of the highest derivative and the free term.
作者简介
Ya. Sultanaev
Moscow Center for Fundamental and Applied Mathematics; Akmulla Bashkir State Pedagogical University
Email: sultanaevyt@gmail.com
B. Mardanov
Akmulla Bashkir State Pedagogical University
Email: mardanov_bulat@list.ru
E. Nazirova
Ufa University of Science and Technology
Email: ellkid@gmail.com
参考
- Valeeva, L.N., Nazirova, E.A., and Sultanaev, Ya.T., On a method for studying the asymptotics of solutions of Sturm–Liouville differential equations with rapidly oscillating coefficients, Math. Notes, 2022, vol. 112, no. 6, pp. 1059–1064.
- Valeev, N.F., Nazirova, E.A., and Sultanaev, Ya.T., On a new approach for studying asymptotic behavior of solutions to singular differential equations, Ufa Math. J., 2015, vol. 7, no. 3, pp. 9–14.
- Valeev, N.F., Myakinova, O.V., and Sultanaev, Ya.T., On the asymptotics of solutions of a singular 𝑛th-order differential equation with nonregular coefficients, Math. Notes, 2018, vol. 104, no. 4, pp. 606–611.
- Rossmann, W. Lie Groups — an Introduction Through Linear Groups / W. Rossmann. — Oxford : Oxford University Press, 2006. — 265 p.
- Everitt, W.N. Boundary value problem and symplectic algebra for ordinary differential and quasidifferential operators / W.N. Everitt, L. Marcus. — Providence : Amer. Math. Soc., 1999. — 187 p.
- Naimark, M.A., Lineynyye differentsial’nyye operatory (Linear Differential Operators), Moscow: Nauka, 1969.
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