Stability of one-parameter systems of linear autonomous differential equations with bounded delay
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 488-502
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We consider a system of linear autonomous differential equations with bounded delay in the case when its characteristic function depends linearly on one scalar parameter. The application of the D-subdivision method to the problem of constructing the stability region for this equation was developed.
Keywords:
delay differential equations, autonomous equations, asymptotic stability, D-subdivision method.
@article{VTAMU_2018_23_123_a18,
author = {M. V. Mulyukov},
title = {Stability of one-parameter systems of linear autonomous differential equations with bounded delay},
journal = {Vestnik rossijskih universitetov. Matematika},
pages = {488--502},
publisher = {mathdoc},
volume = {23},
number = {123},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a18/}
}
TY - JOUR AU - M. V. Mulyukov TI - Stability of one-parameter systems of linear autonomous differential equations with bounded delay JO - Vestnik rossijskih universitetov. Matematika PY - 2018 SP - 488 EP - 502 VL - 23 IS - 123 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a18/ LA - ru ID - VTAMU_2018_23_123_a18 ER -
%0 Journal Article %A M. V. Mulyukov %T Stability of one-parameter systems of linear autonomous differential equations with bounded delay %J Vestnik rossijskih universitetov. Matematika %D 2018 %P 488-502 %V 23 %N 123 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a18/ %G ru %F VTAMU_2018_23_123_a18
M. V. Mulyukov. Stability of one-parameter systems of linear autonomous differential equations with bounded delay. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 488-502. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a18/