Exponential estimates for singularly perturbed linear functional differential equations

DOI10.1016/0022-247X(84)90140-9zbMath0588.34052MaRDI QIDQ1073243

Luis T. Magalhães

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fundamental matrixperturbation parameterfirst order differential equationExponential estimateslinear retarded functional differential equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items

Blockwise estimate of the fundamental matrix of linear singularly perturbed differential systems with small delay and its application to uniform asymptotic solution ⋮ Asymptotic stability of the solutions of a linear singularity perturbed system with unbounded delay ⋮ Singular perturbation for an abstract non-densely defined Cauchy problem ⋮ 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 ⋮ Convergence and boundary layers in singularly perturbed linear functional differential equations ⋮ Invariant manifolds for singularly perturbed linear functional differential equations ⋮ Complete controllability conditions for linear singularly perturbed time-invariant systems with multiple delays via chang-type transformation

Cites Work

• Linear autonomous neutral functional differential 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
• Singular Perturbations of a General Boundary Value Problem
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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