Solvability and well-posedness of higher-order abstract Cauchy problems

zbMATH Open0741.34040MaRDI QIDQ1177973

Quan Zheng

Publication date: 26 June 1992

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

well-posednessBanach spaceLaplacetransformhigher order differential equationexponential well-posednesshigher order Cauchy problemvector-valued Laplace transforms

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (4)

Title not available (Why is that?) ⋮ Title not available (Why is that?) ⋮ Solvability of the Cauchy problem for higher-order linear functional differential equations ⋮ Spectral conditions guaranteeing a nontrivial solution of the abstract Cauchy problem

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