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2009 Asymptotic Comparison oftheSolutions of Linear Time-Delay Systems with Point andDistributed Lags with Those of Their Limiting Equations
M. De la Sen
Abstr. Appl. Anal. 2009: 1-37 (2009). DOI: 10.1155/2009/216746

Abstract

This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of the corresponding perturbed functional differential equation. Both differential equations involve point and distributed delayed dynamics including Volterra class dynamics. The proofs are based on a Perron-type theorem for functional equations so that the comparison is governed by the real part of a dominant zero of the characteristic equation of the nominal differential equation. The obtained results are also applied to investigate the global stability of the perturbed equation based on that of its corresponding limiting equation.

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M. De la Sen. "Asymptotic Comparison oftheSolutions of Linear Time-Delay Systems with Point andDistributed Lags with Those of Their Limiting Equations." Abstr. Appl. Anal. 2009 1 - 37, 2009. https://doi.org/10.1155/2009/216746

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1191.34096
MathSciNet: MR2506992
Digital Object Identifier: 10.1155/2009/216746

Rights: Copyright © 2009 Hindawi

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