A Phillips-Miyadera type perturbation theorem for cosine functions of operators

DOI10.2748/tmj/1178230101zbMath0435.47045OpenAlexW2032387386MaRDI QIDQ5904387

Tosiharu Takenaka, Noboru Okazawa

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178230101

zbMATH Keywords

cosine operator functionPhillips-Miyadera type perturbation theorem

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear differential equations in abstract spaces (34G10) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (8)

Perturbation and comparison of cosine operator functions ⋮ The reduction square root and perturbation for a class of strongly continuous operator families ⋮ A representation formula for strongly continuous cosine families ⋮ On perturbation theory for exponentially bounded C-semigroups ⋮ Über die Konvergenz operatorwertiger Cosinusfunktionen mit gestoertem infinitesimalen Erzeuger ⋮ Positive perturbations of linear Volterra equations and sine functions of operators ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ On bounded time-dependent perturbations of operator cosine functions

Cites Work

• Ordinary differential equations in linear topological spaces. I
• On perturbation theory for semi-groups of operators
• Perturbation of strongly continuous cosine family generators
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