Perturbation of strongly continuous cosine family generators

DOI10.4064/cm-45-2-277-285zbMath0496.47039OpenAlexW802841970MaRDI QIDQ3961364

Curtis C. Travis, Glenn F. Webb

Publication date: 1981

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-45-2-277-285

zbMATH Keywords

infinitesimal generatoradditive perturbationstrongly continuous cosine family

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (10)

The hyperbolic singular perturbation problem: An operator theoretic approach ⋮ Demicompactness properties for uniformly continuous cosine families ⋮ Perturbation and comparison of cosine operator functions ⋮ The work of Glenn F. Webb ⋮ Perturbation properties of fractional strongly continuous cosine and sine family operators ⋮ On the properties of a Cauchy-type problem for an abstract differential equation with fractional derivatives ⋮ A Phillips-Miyadera type perturbation theorem for cosine functions of operators ⋮ A Phillips-Miyadera type perturbation theorem for cosine functions of operators ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Perturbation theory for fractional evolution equations in a Banach space

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