Electron. J. Diff. Eqns., Vol. 2004(2004), No. 03, pp. 1-17.

Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations

Christos G. Philos & Ioannis K. Purnaras

Abstract:
We study scalar first order linear autonomous neutral delay differential equations with distributed type delays. This article presents some new results on the asymptotic behavior, the nonoscillation and the stability. These results are obtained via a real root (with an appropriate property) of the characteristic equation. Applications to the special cases such as (non-neutral) delay differential equations are also presented.

Submitted October 6, 2003. Published January 2, 2004.
Math Subject Classifications: 34K11, 34K20, 34K25, 34K40.
Key Words: Neutral differential equation, asymptotic behavior, nonoscillation, stability.

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Christos G. Philos
Department of Mathematics
University of Ioannina
P.O. Box 1186, 451 10 Ioannina, Greece
email: cphilos@cc.uoi.gr
Ioannis K. Purnaras
Department of Mathematics
University of Ioannina
P.O. Box 1186, 451 10 Ioannina, Greece
email: ipurnara@cc.uoi.gr

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