Differentiability and growth bounds of solutions of delay equations
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Publication:1766722
DOI10.1016/j.jmaa.2004.04.063zbMath1080.34061OpenAlexW2085025207MaRDI QIDQ1766722
Publication date: 8 March 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.063
One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Linear functional-differential equations (34K06) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)
Related Items (7)
Eventual differentiability of functional differential equations in Banach spaces ⋮ On eventual regularity properties of operator-valued functions ⋮ Quasi-hyperbolicity and delay semigroups ⋮ Differential and analytical properties of semigroups of operators ⋮ On norm continuity, differentiability and compactness of perturbed semigroups ⋮ Non-analytic growth bounds and delay semigroups ⋮ Rank-1 perturbations of cosine functions and semigroups
Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Stability for abstract linear functional differential equations
- On small solutions of delay equations in infinite dimensions
- A non-analytic growth bound for Laplace transforms and semigroups of operators
- Functional differential equations and nonlinear semigroups in \(L^p\) spaces
- On the stability of differentiability of semigroups
- \(C_0\)-semigroups norm continuous at infinity
- On perturbations of differentiable semigroups
- One-Parameter Semigroups for Linear Evolution Equations
- Semigroups and linear partial differential equations with delay
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