A Stieltjes type convolution for integrated semigroups of bounded strong variation and \(L_p\)-solutions to the abstract Cauchy problem.

zbMath1041.47029MaRDI QIDQ1850188

Horst R. Thieme, Hauke Vosseler

Publication date: 1 April 2003

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

zbMATH Keywords

integrated semigroups\(L_p\)-solutionsperturbation theoremsinhomogeneous Cauchy problembounded strong variationconvolution of Stieltjes typeoperator familiesvector valued \(L_1\)-functions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Measures and integration on abstract linear spaces (46G12) Linear differential equations in abstract spaces (34G10) Abstract integral equations, integral equations in abstract spaces (45N05) Integrated semigroups (47D62)

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