On fundamental solution of differential equation with time delay in Banach space

DOI10.3792/pjaa.64.131zbMath0658.34056OpenAlexW2085545747WikidataQ115219941 ScholiaQ115219941MaRDI QIDQ1111751

Hiroki Tanabe

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.131

zbMATH Keywords

time delayBanach space

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear differential equations in abstract spaces (34G20) General theory of functional-differential equations (34K05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (6)

Hölder continuous regularity of stochastic convolutions with distributed delay ⋮ On stationarity of stochastic retarded linear equations with unbounded drift operators ⋮ Structural operators for linear delay-differential equations in Hilbert space ⋮ A note on regularity property of stochastic convolutions for a class of functional differential equations ⋮ Some regularity results on stochastic convolutions in point delay differential equations perturbed by noise ⋮ On regularity of stochastic convolutions of functional linear differential equations with memory

Cites Work

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• Structural properties of functional differential equations in Banach spaces
• \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
• On a class of retarded partial differential equations
• Stability for abstract linear functional differential equations
• Optimal control of linear retarded systems in Banach spaces
• Pointwise completeness and degeneracy of functional differential equations in Banach spaces. I: General time delays
• On the fundamental solution of delay-differential equations in Banach spaces
• Controllability and observability of linear retarded systems in Banach spaces

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