A characterization of well‐posedness for the second order abstract Cauchy problems with finite delay

DOI10.1002/MANA.202000517OpenAlexW4327595433MaRDI QIDQ6093709

Seyedeh Marzieh Ghavidel

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202000517

zbMATH Keywords

Cauchy problemswellposednesscosine functionspartial functional differential equations with delay

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Cites Work

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• On regularity property of retarded Ornstein-Uhlenbeck processes in Hilbert spaces
• Functional differential equations and nonlinear semigroups in \(L^p\) spaces
• A characterization of well-posedness for abstract Cauchy problems with finite delay
• Existence and Stability for Partial Functional Differential Equations
• One-Parameter Semigroups for Linear Evolution Equations
• On second order differential equations with state-dependent delay
• Wellposedness of abstract differential equations with state‐dependent delay
• Functional differential equations

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