A characterization of uniformly bounded cosine functions generators

DOI10.1007/BF01199753zbMath0704.47033OpenAlexW1997484953MaRDI QIDQ917000

Pedro Ubilla, Ioana Cioranescu

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162872

zbMATH Keywords

closed operatorexponential vectorsbounded holomorphic semigroupgenerator of a uniformly bounded cosine family

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (3)

On Stepanov-almost periodic semigroups and cosine functions of operators ⋮ Existence of solutions of the nonautonomous abstract Cauchy problem of second order ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Characterizations of almost periodic strongly continuous cosine operator functions
• Ordinary differential equations in linear topological spaces. I
• Cosine families and abstract nonlinear second order differential equations
• On operator-valued solutions of d'Alembert's functional equation, I

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