Gevrey Asymptotics of Slow Manifolds in Singularly Perturbed Delay Equations

DOI10.1007/978-3-030-25261-8_28zbMath1447.34062OpenAlexW2972000842MaRDI QIDQ5115126

Peter De Maesschalck, Karel Kenens

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-25261-8_28

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singular perturbations of functional-differential equations (34K26) Invariant manifolds of functional-differential equations (34K19)

Cites Work

• Composite asymptotic expansions
• Introduction to functional differential equations
• On differentiability of solutions with respect to parameters in state-dependent delay equations
• Inertial and slow manifolds for delay equations with small delays.
• Formal power series and linear systems of meromorphic ordinary differential equations
• Delay induced canards in a model of high speed machining
• Gevrey solutions of singularly perturbed differential equations