Stability Properties of a Discretized Neutral Delay Differential Equation

Hrabalová, Jana

doi:10.2478/tmmp-2013-0007

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Stability Properties of a Discretized Neutral Delay Differential Equation

Tatra Mountains Mathematical Publications

Volume 54 (2013): Issue 1 (April 2013)

By: Jana Hrabalová

Open Access

|Jul 2013

Abstract

The paper discusses the asymptotic stability region of a discretization of a linear neutral delay differential equation

x′(t) = ax(t - τ) + bx'(t - τ).

We present necessary and sufficient conditions specifying this region and describe some of its properties.

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