Semigroup properties and the Crandall Liggett approximation for a class of differential equations with state-dependent delays

DOI10.1006/jdeq.2001.4076zbMath1006.34061OpenAlexW1991093318MaRDI QIDQ1604631

M. Louihi, Moulay Lhassan Hbid, Ovide Arino

Publication date: 8 July 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4076

zbMATH Keywords

state-dependent delaysCrandall Liggett approximation

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (13)

A differential equation with state-dependent delay from cell population biology ⋮ Smoothness of semiflows for parabolic partial differential equations with state-dependent delay ⋮ Parabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold ⋮ Properties of the semigroup and the approximation of Crandall--Liggett associated with a class of differential equations with delays depending implicitly on the state ⋮ A study on asymptotically periodic behavior for evolution equations with delay in Banach spaces ⋮ Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations ⋮ The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay. ⋮ A condition on delay for differential equations with discrete state-dependent delay ⋮ Periodic Solutions for a Class of Functional Differential Equations with State-Dependent Delay Close to Zero ⋮ Exponential stability for a class of state-dependent delay equations via the Crandall-Liggett approach ⋮ Abstract Volterra equations with state-dependent delay ⋮ Differential equations with discrete state-dependent delay: Uniqueness and well-posedness in the space of continuous functions ⋮ Unnamed Item

Cites Work

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• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
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