Exponential estimates for singularly perturbed linear functional differential equations
type: Item
instance of: scholarly article
title: Exponential estimates for singularly perturbed linear functional differential equations
zbMATH Open document ID: 0588.34052
DOI: 10.1016/0022-247X(84)90140-9
author: Luis T. Magalhães
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: Exponential estimates on the fundamental matrix, uniform on the perturbation parameter, are obtained for singularly perturbed systems of linear retarded functional differential equations, under the assumption that the eigenvalues of a certain coefficient matrix in the system have negative real parts. The exponential rates in the estimates are computable from upper bounds on the real parts of the characteristic values of the system or of associated simpler equations. Differences between differential-difference equations and equations with distributed delays are emphasized.
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34D15
zbMATH DE Number: 3944348
zbMATH Keywords: first order differential equation
zbMATH Keywords: Exponential estimates
zbMATH Keywords: fundamental matrix
zbMATH Keywords: perturbation parameter
zbMATH Keywords: linear retarded functional differential equations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3944348