On the Behavior of Solutions of Some Systems of Differential Equations Partially Solved with Respect to the Derivatives in the Presence of a Pole
- 作者: Limanskaya D.1
-
隶属关系:
- Mechnikov Odessa National University
- 期: 卷 229, 编号 4 (2018)
- 页面: 455-469
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240462
- DOI: https://doi.org/10.1007/s10958-018-3689-0
- ID: 240462
如何引用文章
详细
We study the existence of analytic solutions for some systems of ordinary differential equations partially solvable with respect to the derivatives. We establish sufficient conditions for the existence of analytic solutions of the Cauchy problem in the presence of a pole. An estimate for these solutions is obtained in a certain domain and the problem of the number of solutions is investigated.
作者简介
D. Limanskaya
Mechnikov Odessa National University
编辑信件的主要联系方式.
Email: liman.diana@gmail.com
乌克兰, Dvoryanskaya Str., 2, Odessa, 65026