Norm continuity and stability for a functional differential equation in Hilbert space

DOI10.1016/S0022-247X(02)00075-6zbMath1013.34076OpenAlexW2071556410WikidataQ115340228 ScholiaQ115340228MaRDI QIDQ1614689

Miklauž Mastinšek

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00075-6

zbMATH Keywords

asymptotic stabilitysolution semigroupnorm continuity

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20)

Related Items (4)

Eventual differentiability of functional differential equations in Banach spaces ⋮ Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay ⋮ Existence of invariant measures of stochastic systems with delay in the highest order partial derivatives ⋮ Approximate controllability for semilinear retarded systems

Cites Work

• Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups
• \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
• Stability for abstract linear functional differential equations
• Stabilizability of retarded functional differential equation in Hilbert space
• Existence and Stability for Partial Functional Differential Equations
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