Spectral conditions guaranteeing a nontrivial solution of the abstract Cauchy problem

DOI10.1090/S0002-9939-98-04572-9zbMath0904.47029MaRDI QIDQ4210581

Sheng Wang Wang, Ralph J. De Laubenfels

Publication date: 22 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

abstract Cauchy problempolynomially bounded resolvent

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10)