电邮这篇文章 Bifurcation Conditions for the Solutions of the Lyapunov Equation in a Hilbert Space
- 作者: Panasenko E.V.1, Pokutnyi O.O.2
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隶属关系:
- Zaporizhzhya National University
- Institute of Mathematics, Ukrainian National Academy of Sciences
- 期: 卷 236, 编号 3 (2019)
- 页面: 313-332
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242215
- DOI: https://doi.org/10.1007/s10958-018-4113-5
- ID: 242215
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详细
We establish sufficient conditions for the bifurcation of solutions of the boundary-value problems for the Lyapunov equation in Hilbert spaces. The cases where the generating equation has or does not have solutions are analyzed. As an example, we consider the problem in the space l2 of sequences with matrices of countable dimensions.
作者简介
E. Panasenko
Zaporizhzhya National University
编辑信件的主要联系方式.
Email: panasenko.yevgeniy@gmail.com
乌克兰, Zhukovs’kyi Str., 66, Zaporizhzhya, 69600
O. Pokutnyi
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: panasenko.yevgeniy@gmail.com
乌克兰, Tereshchenkivs’ka Str., 3, Kyiv, 01004
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