Boundary-Value Problems for the Lyapunov Equation. I

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发表日期：

2024年8月1日

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Oleksandr Boichuk,
Evhen Panasenko,
Oleksandr Pokutnyi

摘要

We study boundary-value problems for the Lyapunov operator-differential equation. By using the theory of Moore–Penrose pseudoinverse operators and its generalizations, we establish conditions for the existence of generalized solutions and propose algorithms for their construction.