The closure of the generalised eigenspace of a class of infinitesimal generators
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Publication:3971466
DOI10.1017/S0308210500027682zbMath0743.47020MaRDI QIDQ3971466
Publication date: 25 June 1992
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
spectrumFunctional differential equationshyperbolic problemsgrowth conditionsgeneralized eigenfunctionspopulation dynamic modelsgenerators of a \(C_ 0\)-semigroup
One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) Spectrum, resolvent (47A10)
Related Items (7)
Properties of a class of \(C_{0}\) semigroups on Banach spaces and their applications ⋮ A functional model approach to linear neutral functional differential equations ⋮ Abnormal solutions of evolution equations ⋮ Functional-differential equations in Sobolev spaces and related problems of spectral theory ⋮ Parameter identifiability of differential delay equations ⋮ Stability analysis of neutral type systems in Hilbert space ⋮ Riesz bases and exact controllability of \(c_{0}-groups\) with one-dimensional input operators
Cites Work
- Series expansions and small solutions for Volterra equations of convolution type
- Semigroups of linear operators and applications to partial differential equations
- A sharp version of Henry's theorem on small solutions
- On the spectrum of evolution operators generated by hyperbolic systems
- Perturbation theory for dual semigroups. I. The sun-reflexive case
- Linear autonomous neutral functional differential equations
- Theory of functional differential equations. 2nd ed
- Questions of regularity connected with the Phragmen-Lindelöf principle
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