We consider the initial-value problem for linear delay partial
differential equations of the parabolic type. We give a
sufficient condition for the stability of the solution of this
initial-value problem. We present the stability estimates for the
solutions of the first and second order accuracy difference
schemes for approximately solving this initial-value problem. We
obtain the stability estimates in Hölder norms for the solutions
of the initial-value problem of the delay differential and
difference equations of the parabolic type.
Publié le : 2001-05-14
Classification:
65J,
65M,
47D,
34K,
34G
@article{1050266865,
author = {Ashyralyev, A. and Sobolevskii, P. E.},
title = {On the stability of the linear delay differential and difference equations},
journal = {Abstr. Appl. Anal.},
volume = {6},
number = {1},
year = {2001},
pages = { 267-297},
language = {en},
url = {http://dml.mathdoc.fr/item/1050266865}
}
Ashyralyev, A.; Sobolevskii, P. E. On the stability of the linear delay differential and difference equations. Abstr. Appl. Anal., Tome 6 (2001) no. 1, pp. 267-297. http://gdmltest.u-ga.fr/item/1050266865/