Stability properties of a discretized neutral delay differential equation
Abstract
The paper discusses the asymptotic stability region of a discretization of a linear neutral delay differential equation
$${x'}(t) = a x(t-\tau) + b {x'}(t-\tau).$$
We present necessary and sufficient conditions specifying this region and describe some of its properties.
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PDFDOI: https://doi.org/10.2478/tatra.v54i0.210