Representation formulas for integrated semigroups and sine families

DOI10.1007/BF01830985zbMath0783.47057MaRDI QIDQ1207294

Hisamitsu Serizawa

Publication date: 1 April 1993

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137498

zbMATH Keywords

infinitesimal generatorsintegrated semigroupssine familysine-functional equation

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)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Second order linear Volterra equations governed by a sine family ⋮ Second order linear Volterra integrodifferential equations

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• Integrated semigroups and their applications to the abstract Cauchy problem
• A representation formula for strongly continuous cosine families
• On the Relation Between the Semigroup and its Infinitesimal Generator

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