A functional model approach to linear neutral functional differential equations

DOI10.1007/BF01324734zbMath0891.34077OpenAlexW2160196675MaRDI QIDQ1378045

Sjoerd M. Verduyn Lunel, Dmitry V. Yakubovich

Publication date: 5 February 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01324734

zbMATH Keywords

Riesz basissemigroupinfinitesimal generatorspectral modelneutral functional equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Neutral functional-differential equations (34K40) Spectral sets of linear operators (47A25)

Related Items

Large time behaviour for functional differential equations with dominant eigenvalues of arbitrary order ⋮ Weighted Schur-class functions and functional models ⋮ Linearly similar Szökefalvi-Nagy–Foias model in a domain ⋮ Asymptotic growth of solutions of neutral type systems ⋮ Sobolev space estimates for solutions of equations with delay, and the basis of divided differences ⋮ Functional-differential equations in Sobolev spaces and related problems of spectral theory ⋮ On strong regular stabilizability for linear neutral type systems ⋮ Stability analysis of neutral type systems in Hilbert space ⋮ The expansion of a semigroup and a Riesz basis criterion ⋮ Conditions of Exact Null Controllability and the Problem of Complete Stabilizability for Time-Delay Systems ⋮ Existence of solutions for neutral functional differential equations with causal operators

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