On the second order Cauchy problem associated with a linear operator

DOI10.1016/0022-247X(91)90083-CzbMath0746.47023OpenAlexW1981989329MaRDI QIDQ1173814

Ioana Cioranescu

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90083-c

zbMATH Keywords

resolventabstract Cauchy problemoperator cosine functionHille-Yosida subspacelinear operator in a Banach space

Mathematics Subject Classification ID

Operator sine and cosine functions and higher-order Cauchy problems (47D09)

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Cites Work

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• Spectral representations for unbounded operators with real spectrum
• The Hille-Yosida space of an arbitrary operator
• Ordinary differential equations in linear topological spaces. I
• Ordinary differential equations in linear topological space. II