Impulsive Boundary-Value Problem for the Lyapunov Equation with Values in Hilbert Space

Impulsive Boundary-Value Problem for the Lyapunov Equation with Values in Hilbert Space

We investigate boundary-value problems for the operator-differential Lyapunov equation with impulsive action at fixed times with values in the Hilbert space. The case where the corresponding generating operator may have a nonclosed set of values is analyzed. The results are illustrated by an example...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-12, Vol.277 (2), p.281-290
Hauptverfasser: Panasenko, E. V., Pokutnyi, O. O.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Differential equations
Hilbert space
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Zusammenfassung:We investigate boundary-value problems for the operator-differential Lyapunov equation with impulsive action at fixed times with values in the Hilbert space. The case where the corresponding generating operator may have a nonclosed set of values is analyzed. The results are illustrated by an example of the problem with diagonal operators.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06832-0