Geodesic
Stability analysis of homogeneous differential-difference equation with linear delay
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2015), pp. 105-115

Voir la notice de l'article provenant de la source Math-Net.Ru

A homogeneous differential-difference equation with linearly increasing time delay is considered. Some sufficient conditions for asymptotic stability and instability of zero solution well-known for the linear equation with linearly increasing time delay are summarized in homogeneous equations. The speed of solution decreasing is estimated. Refs 20.
Keywords: homogeneous differential-difference equation, linearly increasing time delay, asymptotic stability, instability. 
@article{VSPUI_2015_3_a8,
     author = {A. P. Zhabko and O. N. Chizhova},
     title = {Stability analysis of homogeneous differential-difference equation with linear delay},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {105--115},
     publisher = {mathdoc},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2015_3_a8/}
}
TY  - JOUR
AU  - A. P. Zhabko
AU  - O. N. Chizhova
TI  - Stability analysis of homogeneous differential-difference equation with linear delay
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2015
SP  - 105
EP  - 115
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2015_3_a8/
LA  - ru
ID  - VSPUI_2015_3_a8
ER  - 
%0 Journal Article
%A A. P. Zhabko
%A O. N. Chizhova
%T Stability analysis of homogeneous differential-difference equation with linear delay
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2015
%P 105-115
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSPUI_2015_3_a8/
%G ru
%F VSPUI_2015_3_a8
A. P. Zhabko; O. N. Chizhova. Stability analysis of homogeneous differential-difference equation with linear delay. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2015), pp. 105-115. http://geodesic.mathdoc.fr/item/VSPUI_2015_3_a8/