TY - JOUR
T1 - Explicit conditions of exponential stability for a linear impulsive delay differential equation
AU - Berezansky, L.
AU - Braverman, E.
PY - 1997/10/15
Y1 - 1997/10/15
N2 - For a scalar delay differential equation x(t) + ∑mk = 1 Ak(t)x[hk(t)] = 0, t ε [0, ∞), x(t) ε R, hk(t) ≤ t, with impulsive conditions x(τj) = Bjx(τj - 0), 1imj→∞ τj = ∞ explicit exponential stability results are obtained.
AB - For a scalar delay differential equation x(t) + ∑mk = 1 Ak(t)x[hk(t)] = 0, t ε [0, ∞), x(t) ε R, hk(t) ≤ t, with impulsive conditions x(τj) = Bjx(τj - 0), 1imj→∞ τj = ∞ explicit exponential stability results are obtained.
UR - http://www.scopus.com/inward/record.url?scp=0031251139&partnerID=8YFLogxK
U2 - 10.1006/jmaa.1997.5578
DO - 10.1006/jmaa.1997.5578
M3 - Article
AN - SCOPUS:0031251139
SN - 0022-247X
VL - 214
SP - 439
EP - 458
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -