The paper discusses the -method discretization of the neutraldelay dierential equationy´(t) = a y(t) + b y(t-\tau) + c y´(t-\tau), t > 0,where a, b, c are real constant coecients and is a positive real lag. Using re-cent developments on stability of appropriate delay dierence equations we givea complete description of stability sets for this discretization. Some of their prop-erties and related comparisons with the stability set for the underlying neutraldierential equation are discussed as well.
@article{316,
title = {On stability sets for numerical discretizations of neutral delay differential equations},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v63i0.316},
language = {EN},
url = {http://dml.mathdoc.fr/item/316}
}
Čermák, Jan; Dražková, Jana. On stability sets for numerical discretizations of neutral delay differential equations. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v63i0.316. http://gdmltest.u-ga.fr/item/316/