An asymptotic result for second order linear nonautonomous neutral delay differential equations

An asymptotic result for second order linear nonautonomous neutral delay differential equations

Ch. G. Philos and I. K. Purnaras

Source: Hiroshima Math. J. Volume 40, Number 1 (2010), 47-63.

Abstract

In this paper, we establish a fundamental asymptotic result for the solutions to second order linear nonautonomous neutral delay differential equations. By the use of a solution of the corresponding generalized characteristic equation, we transform the second order neutral delay differential equation into a first order neutral delay differential equation and then we utilize its generalized characteristic equation.

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Primary Subjects: 34K25, 34K40

Keywords: Neutral delay differential equation; asymptotic behavior; generalized characteristic equation

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hmj/1270645082
Mathematical Reviews number (MathSciNet): MR2642969
Zentralblatt MATH identifier: 05778414

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