Stability Properties of a Discretized Neutral Delay Differential Equation
| Jul 04, 2013
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications ‘2012
Published Online: Jul 04, 2013
Page range: 83 - 92
DOI: https://doi.org/10.2478/tmmp-2013-0007
This content is open access.
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.