On Stepanov-almost periodic semigroups and cosine functions of operators

DOI10.1016/0022-247X(90)90313-5zbMath0719.47023OpenAlexW2016148712MaRDI QIDQ2640116

Hernán R. Henríquez

Publication date: 1990

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(90)90313-5

zbMATH Keywords

asymptotically almost periodicstrongly continuous cosine operator functionsalmost periodic in the sense of Stepanovp- Stepanov boundedspace of linear bounded operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Cites Work

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• A characterization of uniformly bounded cosine functions generators
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• One-parameter semigroups of positive operators
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• Characterizations of almost periodic strongly continuous groups and semigroups
• Compactness in Spaces of Vector Valued Continuous Functions and Asymptotic Almost Periodicity
• On the Existence of a Unique Almost Periodic Solution of an Abstract Differential Equation

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