Boundary-value problems for the Lyapunov equation. І
UDC 517.9 We study boundary-value problems for the Lyapunov operator-differential  equation. By using  the theory of Moore–Penrose pseudoinverse operators  and its development, we establish conditions for the existence of generalized solutions and propose algor...
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| Date: | 2024 |
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| Main Authors: | , , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7785 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.9
We study boundary-value problems for the Lyapunov operator-differential  equation. By using  the theory of Moore–Penrose pseudoinverse operators  and its development, we establish conditions for the existence of generalized solutions and propose algorithms for their construction. |
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| DOI: | 10.3842/umzh.v76i3.7785 |