Email this article Bifurcation Conditions for the Solutions of the Lyapunov Equation in a Hilbert Space
- Authors: Panasenko E.V.1, Pokutnyi O.O.2
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Affiliations:
- Zaporizhzhya National University
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 236, No 3 (2019)
- Pages: 313-332
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242215
- DOI: https://doi.org/10.1007/s10958-018-4113-5
- ID: 242215
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Abstract
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.
About the authors
E. V. Panasenko
Zaporizhzhya National University
Author for correspondence.
Email: panasenko.yevgeniy@gmail.com
Ukraine, Zhukovs’kyi Str., 66, Zaporizhzhya, 69600
O. O. Pokutnyi
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: panasenko.yevgeniy@gmail.com
Ukraine, Tereshchenkivs’ka Str., 3, Kyiv, 01004
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