On generators of integrated \(C\)-semigroups and \(C\)-cosine functions

DOI10.1007/BF02573738zbMath0804.47044MaRDI QIDQ2367889

Sen-Yen Shaw, Yuan-Chuan Li

Publication date: 17 August 1993

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135251

zbMATH Keywords

integrated \(C\)-semigroupexponentially equicontinuous \(n\)-times integrated \(C\)-cosine functiongenerators of exponentially equicontinuous \(n\)- times integrated \(C\)-semigroups

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 (10)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Perturbation and comparison of cosine operator functions ⋮ Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ Multiplicative perturbations of convoluted \(C\)-cosine functions and convoluted \(C\)-semigroups ⋮ Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems ⋮ Infinite differentiability of Hermitian and positive \(C\)-semigroups and \(C\)-cosine functions ⋮ On approximation of inverse problem for abstract parabolic differential equations in Banach spaces ⋮ Inverses of generators of integrated fractional resolvent operator functions ⋮ On \(\alpha\)-times integrated C-cosine functions and abstract Cauchy problem. I

Cites Work

• Unnamed Item
• Unnamed Item
• Integrated semigroups
• Exponentially bounded C-semigroups and integrated semigroups
• Vector-valued Laplace transforms and Cauchy problems
• Integrated semigroups and their applications to the abstract Cauchy problem
• \(N\)-times integrated \(C\)-semigroups and the abstract Cauchy problem
• Ordinary differential equations in linear topological spaces. I
• Integrated semigroups, C-semigroups and the abstract Cauchy problem
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
• Existence and Uniqueness Families for the Abstract Cauchy Problem

This page was built for publication: On generators of integrated \(C\)-semigroups and \(C\)-cosine functions