A representation formula for strongly continuous cosine families

DOI10.1007/BF02189359zbMath0467.47037MaRDI QIDQ1155844

Glenn F. Webb

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/182435

zbMATH Keywords

infinitesimal generatorstrongly continuous cosine operator

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03)

Related Items (9)

Representation formulas for cosine and sine functions of operators. II ⋮ Approximate controllability of second-order distributed systems ⋮ A representation formula for strongly continuous resolvent families ⋮ The work of Glenn F. Webb ⋮ Representation formulas for integrated semigroups and sine families ⋮ An approximation of solutions to heat equations defined by generalized measure theoretic Laplacians ⋮ On approximation and representation of \(k\)-regularized resolvent families ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Representation formulas for cosine and sine functions of operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the convergence and approximation of cosine 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
• A Phillips-Miyadera type perturbation theorem for cosine functions of operators

This page was built for publication: A representation formula for strongly continuous cosine families