Мақаланы E-mail арқылы жіберу Bifurcation Conditions for the Solutions of the Lyapunov Equation in a Hilbert Space
- Авторлар: Panasenko E.V.1, Pokutnyi O.O.2
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Мекемелер:
- Zaporizhzhya National University
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Шығарылым: Том 236, № 3 (2019)
- Беттер: 313-332
- Бөлім: 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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Аннотация
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.
Авторлар туралы
E. Panasenko
Zaporizhzhya National University
Хат алмасуға жауапты Автор.
Email: panasenko.yevgeniy@gmail.com
Украина, Zhukovs’kyi Str., 66, Zaporizhzhya, 69600
O. Pokutnyi
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: panasenko.yevgeniy@gmail.com
Украина, Tereshchenkivs’ka Str., 3, Kyiv, 01004
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