电邮这篇文章 Boundary-Value Problems for the Lyapunov Equation in Banach Spaces
- 作者: Panasenko E.V.1, Pokutnyi O.O.2,3
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隶属关系:
- Zaporizhzhya National University
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Shevchenko Kyiv National University Ukraine
- 期: 卷 223, 编号 3 (2017)
- 页面: 298-304
- 栏目: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/239355
- DOI: https://doi.org/10.1007/s10958-017-3356-x
- ID: 239355
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详细
We propose an approach to the construction of solutions and quasisolutions of a boundary-value problem for the Lyapunov equation in a Banach space. If the necessary and sufficient conditions for the solvability of this boundary-value problem are satisfied, then the corresponding solutions of the problem are constructed by using the generalized inverse operator. As an example, we consider the problem in the space of bounded sequences with countably dimensional matrices.
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; Shevchenko Kyiv National University Ukraine
Email: panasenko.yevgeniy@gmail.com
乌克兰, Tereshchenkivs’ka Str., 3, Kyiv, 01004; Acad. Glushkov Av. 4e, Kyiv, 03127
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