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Stability for abstract linear functional differential equations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-9892-2openalex-snapshot
Theory of Functional Differential Equations
inferredcites →https://doi.org/10.1007/978-3-642-46066-1openalex-snapshot
Semi-Groups of Operators and Approximation
inferredcites →https://doi.org/10.1016/0022-0396(81)90043-7openalex-snapshot
On the fundamental solution of delay-differential equations in Banach spaces
inferredcites →https://doi.org/10.1016/0022-0396(83)90084-0openalex-snapshot
Necessary conditions for partial differential equations with delay to generate C0-semigroups
inferredcites →https://doi.org/10.1016/0022-247x(75)90067-0openalex-snapshot
On the stabilizability problem in Banach space
inferredcites →https://doi.org/10.1016/0022-247x(76)90052-4openalex-snapshot
Partial differential equations with deviating arguments in the time variable
inferredcites →https://doi.org/10.1016/0022-247x(84)90200-2openalex-snapshot
L2-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
inferredcites →https://doi.org/10.1016/0362-546x(80)90064-4openalex-snapshot
Existence and regularity for linear delay partial differential equations
inferredcites →https://doi.org/10.1017/cbo9780511618864.007openalex-snapshot
One-parameter semigroups
inferredcites →https://doi.org/10.1090/s0002-9947-1978-0499583-8openalex-snapshot
Existence, stability, and compactness in the 𝛼-norm for partial functional differential equations
inferredcites →https://doi.org/10.1142/9781860949746_0004openalex-snapshot
One Parameter Semigroups
inferredcites →https://doi.org/10.24033/asens.1176openalex-snapshot
Sur les perturbations des équations d'évolution : application à des problèmes de retard

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Structural Operators and Eigenmanifold Decomposition for Functional Differential Equations in Hilbert Spaces
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Spectral Analysis and Representations of Solutions of Abstract Integro-differential Equations in Hilbert Space
inferred← citeshttps://doi.org/10.1007/978-3-0348-8085-5_23openalex-snapshot
Asymptotic Stability for a Functional Differential Equation in Hilbert Space
inferred← citeshttps://doi.org/10.1007/978-3-662-00748-8_5openalex-snapshot
Stability for a Linear Functional Differential Equation with Infinite Delay
inferred← citeshttps://doi.org/10.1007/bf01138948openalex-snapshot
Semigroups of operators, cosine operator functions, and linear differential equations
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Controllability and indentifiability for linear time-delay systems in hilbert space
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Positivity and stability for cauchy problems with delay
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Asymptotic Behaviour of Parabolic Problems with Delays in the Highest Order Derivatives
inferred← citeshttps://doi.org/10.1007/s00233-007-9017-5openalex-snapshot
Analytic solutions of Volterra equations via semigroups
inferred← citeshttps://doi.org/10.1007/s002330010122openalex-snapshot
Stability conditions for abstract functional differential equations in Hilbert space
inferred← citeshttps://doi.org/10.1007/s10958-010-0093-9openalex-snapshot
Well-defined solvability and spectral properties of abstract hyperbolic equations with aftereffect
inferred← citeshttps://doi.org/10.1007/s10958-010-9768-5openalex-snapshot
Functional-differential equations in Sobolev spaces and related problems of spectral theory
inferred← citeshttps://doi.org/10.1007/s10958-011-0600-7openalex-snapshot
Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations
inferred← citeshttps://doi.org/10.1007/s10958-013-1245-5openalex-snapshot
Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
inferred← citeshttps://doi.org/10.1007/s10958-018-3943-5openalex-snapshot
Well-Posedness and Spectral Analysis of Integrodifferential Equations Arising in Viscoelasticity Theory
inferred← citeshttps://doi.org/10.1007/s10958-019-04325-7openalex-snapshot
Spectral Analysis of Integrodifferential Equations in Hilbert Spaces
inferred← citeshttps://doi.org/10.1007/s10958-022-05705-2openalex-snapshot
Investigation of Operator Models Arising in Viscoelasticity Theory
inferred← citeshttps://doi.org/10.1016/j.aml.2017.01.010openalex-snapshot
Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay
inferred← citeshttps://doi.org/10.1016/j.cam.2012.11.017openalex-snapshot
Stability property and essential spectrum of linear retarded functional differential equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2004.04.063openalex-snapshot
Differentiability and growth bounds of solutions of delay equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.04.038openalex-snapshot
Eventual differentiability of functional differential equations in Banach spaces
inferred← citeshttps://doi.org/10.1016/j.spl.2014.07.028openalex-snapshot
Existence of invariant measures of stochastic systems with delay in the highest order partial derivatives
inferred← citeshttps://doi.org/10.1016/j.spl.2019.108624openalex-snapshot
Some regularity results on stochastic convolutions in point delay differential equations perturbed by noise
inferred← citeshttps://doi.org/10.1016/s0022-247x(02)00075-6openalex-snapshot
Norm continuity and stability for a functional differential equation in Hilbert space
inferred← citeshttps://doi.org/10.1016/s0362-546x(01)00868-9openalex-snapshot
Delay differential equations with unbounded operators acting on delay terms
inferred← citeshttps://doi.org/10.1017/s1446788700037101openalex-snapshot
Quasi-linear parabolic partial differential equations with delays in the highest order spatial derivatives
inferred← citeshttps://doi.org/10.1080/07362994.2016.1155462openalex-snapshot
On stationarity of stochastic retarded linear equations with unbounded drift operators
inferred← citeshttps://doi.org/10.1080/07362994.2022.2068580openalex-snapshot
A note on regularity property of stochastic convolutions for a class of functional differential equations
inferred← citeshttps://doi.org/10.1090/s0002-9947-1989-0974781-2openalex-snapshot
Translation Semigroups and Their Linearizations on Spaces of Integrable Functions
inferred← citeshttps://doi.org/10.1090/s0077-1554-2014-00231-4openalex-snapshot
Properties of solutions of integro-differential equations arising in heat and mass transfer theory
inferred← citeshttps://doi.org/10.1093/imamci/dnac004openalex-snapshot
On the inversion and admissibility for a class of Volterra integro-differential problems
inferred← citeshttps://doi.org/10.1109/tsmc.2025.3547949openalex-snapshot
Mean-Square Finite-Time Stability and Stabilization of Impulsive Stochastic Distributed Parameter Systems
inferred← citeshttps://doi.org/10.1109/yac66630.2025.11149863openalex-snapshot
Finite-time Contraction Stability of Linear Stochastic Parabolic Distributed Parameter Systems with Time-varying Delay
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Spectral analysis and solvability of abstract hyperbolic equations with aftereffect
inferred← citeshttps://doi.org/10.1134/s0012266113060062openalex-snapshot
On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space
inferred← citeshttps://doi.org/10.1134/s0012266114090043openalex-snapshot
Well-posed solvability of functional-differential equations with unbounded operator coefficients
inferred← citeshttps://doi.org/10.1134/s0012266116090032openalex-snapshot
Well-posed solvability of volterra integro-differential equations in Hilbert space
inferred← citeshttps://doi.org/10.1134/s1064562407040084openalex-snapshot
Well-defined solvability of abstract parabolic equations with aftereffect
inferred← citeshttps://doi.org/10.1134/s1064562417060291openalex-snapshot
Study of functional-differential equations with unbounded operator coefficients
inferred← citeshttps://doi.org/10.1155/2014/948597openalex-snapshot
On the Complex Inversion Formula and Admissibility for a Class of Volterra Systems
inferred← citeshttps://doi.org/10.18514/mmn.2012.570openalex-snapshot
Stability of maximum preserving functional equations on Banach lattices
inferred← citeshttps://doi.org/10.18514/mmn.2016.1700openalex-snapshot
Stability of maximum preserving quadratic functional equation in Banach lattices
inferred← citeshttps://doi.org/10.18910/12501openalex-snapshot
Stabilizability of retarded functional-differential equation in Hilbert space
inferred← citeshttps://doi.org/10.22363/2413-3639-2018-64-1-60-73openalex-snapshot
Investigation of Operator Models Arising in Viscoelasticity Theory
inferred← citeshttps://doi.org/10.3792/pjaa.64.131openalex-snapshot
On fundamental solution of differential equation with time delay in Banach space
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Structural operators for linear delay-differential equations in Hilbert space
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Stationary solutions of neutral stochastic partial differential equations with delays in the highest-order derivatives
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On regularity of stochastic convolutions of functional linear differential equations with memory
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Eventual regularity of a wave equation with boundary dissipation
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Dual semigroups for delay differential equations with unbounded operators acting on the delays
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Dual semigroups and structural operators for partial functional-differential equations with unbounded operators acting on the delays
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ИССЛЕДОВАНИЕ ФУНКЦИОНАЛЬНО-ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С НЕОГРАНИЧЕННЫМИ ОПЕРАТОРНЫМИ КОЭФФИЦИЕНТАМИ, "Доклады Академии наук"
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