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

Date

2004-01-02

Authors

Philos, Christos G.
Purnaras, Ioannis K.

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Publisher

Southwest Texas State University, Department of Mathematics

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.

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Keywords

Neutral differential equation, Asymptotic behavior, Nonoscillation, Stability

Citation

Philos, C. G., & Purnaras, I. K. (2004). Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(3), pp. 1-17.

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Attribution 4.0 International

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