Structural operators and semigroups associated with functional differential equations in Hilbert spaces

zbMath0818.47039MaRDI QIDQ1324945

Jin-Mun Jeong, Shin-ichi Nakagiri, Hiroki Tanabe

Publication date: 7 July 1994

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

partial functional differential equationsstate space approachGarding's inequalitysolution semigroupsstructural operatorsabstract functional differential equationelementary adjoint theory for transposed equationsrelations between transposed semigroups, adjoint semigroups and structural operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (5)

Hölder continuous regularity of stochastic convolutions with distributed delay ⋮ 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 ⋮ Sensitivity to small delays of pathwise stability for stochastic retarded evolution equations ⋮ On regularity of stochastic convolutions of functional linear differential equations with memory

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