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.
@article{210,
title = {Stability properties of a discretized neutral delay differential equation},
journal = {Tatra Mountains Mathematical Publications},
volume = {55},
year = {2013},
doi = {10.2478/tatra.v54i0.210},
language = {EN},
url = {http://dml.mathdoc.fr/item/210}
}
Hrabalová, Jana. Stability properties of a discretized neutral delay differential equation. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v54i0.210. http://gdmltest.u-ga.fr/item/210/