Exponential stability for a class of state-dependent delay equations via the Crandall-Liggett approach

DOI10.1016/j.jmaa.2006.01.047zbMath1154.34385OpenAlexW2081507024MaRDI QIDQ1001259

M. Louihi, Moulay Lhassan Hbid

Publication date: 17 February 2009

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.2006.01.047

zbMATH Keywords

stabilitysemigroupsdelay equationsCrandall-Liggett approximation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Stability theory of functional-differential equations (34K20)

Cites Work

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• Existence of periodic solutions for delay differential equations with state dependent delay
• A mathematical model of growth of population of fish in the larval stage: Density-dependence effects
• Introduction to functional differential equations
• Periodic solutions for functional differential equations with multiple state-dependent time lags
• Autonomous nonlinear functional differential equations and nonlinear semigroups
• Semigroup properties and the Crandall Liggett approximation for a class of differential equations with state-dependent delays
• Reduction of structured population models to threshold-type delay equations and functional differential equations: A case study
• Linearized stability for abstract differential equations with delay
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• The effects of state-dependent time delay on a stage-structured population growth model
• On the problem of linearization for state-dependent delay differential equations
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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