Semigroups of operators, cosine operator functions, and linear differential equations

DOI10.1007/BF01138948zbMath0748.47038OpenAlexW2005002015MaRDI QIDQ1813549

V. V. Vasil'yev, Selim G. Krein, Serguei Piskarev

Publication date: 25 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01138948

zbMATH Keywords

perturbationspositivityspectral boundstrongly continuous semigroupscosine functionsCompactnesssine operator functionsAdjoint operator semigropusalmost periodic semigroupsLinear differential equations in Banach spacesPhillips dual

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

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