<abstract xmlns="http://www.w3.org/1999/xhtml">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.</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.

Stability Properties of a Discretized Neutral Delay Differential Equation

Institute of Mathematics, Brno University of Technology, Technická 2, CZ–616-69 Brno, CZECH REPUBLIC

Tatra Mountains Mathematical Publications

{"article-title":"Stability Properties of a Discretized Neutral Delay Differential Equation"}

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...

Stability Properties of a Discretized Neutral Delay Differential Equation

Published Online: Jul 04, 2013

Page range: 83 - 92

DOI: https://doi.org/10.2478/tmmp-2013-0007

This content is open access.