Convergence and boundary layers in singularly perturbed linear functional differential equations

DOI10.1016/0022-0396(84)90146-3zbMath0561.34060OpenAlexW2048312168MaRDI QIDQ2266371

Luis T. Magalhães

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90146-3

zbMATH Keywords

singularly perturbed systemslinar retarded functional differential equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Singular perturbations for ordinary differential equations (34E15)

Related Items (8)

Blockwise estimate of the fundamental matrix of linear singularly perturbed differential systems with small delay and its application to uniform asymptotic solution ⋮ The asymptotics of solutions of singularly perturbed functional differential equations: distributed and concentrated delays are different ⋮ Asymptotic stability of the solutions of a linear singularity perturbed system with unbounded delay ⋮ Singular perturbation for an abstract non-densely defined Cauchy problem ⋮ On singularly perturbed retarded functional differential equations ⋮ Asymptotic stability for a homogeneous singularly perturbed system of differential equations with unbounded delay ⋮ Asymptotic stability for a homogeneous singularly perturbed system of differential equations with unbounded delay ⋮ Invariant manifolds for singularly perturbed linear functional differential equations

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Exponential estimates for singularly perturbed linear functional differential equations
• Spline approximations for functional differential equations
• Some considerations to the fundamental theory of infinite delay equations
• The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations
• The condition of regular degeneration for singularly perturbed linear differential-difference equations
• On asymptotic stability of systems with after-effect containing a small parameter as coefficient of the derivatives
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Singular Perturbations of a General Boundary Value Problem
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