Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 12 (1991) no. 1, pp. 127-135.
@article{AFST_1991_5_12_1_127_0,
author = {Milev, Nedelcho Velev and Bainov, Drumi Dimitrov},
title = {Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {127--135},
publisher = {Universit\'e Paul Sabatier},
volume = {Ser. 5, 12},
number = {1},
year = {1991},
doi = {10.5802/afst.722},
zbl = {0751.34009},
mrnumber = {1189437},
language = {en},
url = {afst.centre-mersenne.org/item/AFST_1991_5_12_1_127_0/}
}
Nedelcho Velev Milev; Drumi Dimitrov Bainov. Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 12 (1991) no. 1, pp. 127-135. doi : 10.5802/afst.722. https://afst.centre-mersenne.org/item/AFST_1991_5_12_1_127_0/

[1] Coppel (W.A.) .- Dichotomies in stability theory, Lecture Notes in Math., Springer-Verlag, 629 (1978). | MR 481196 | Zbl 0376.34001

[2] Daleckii (Ju.L.) and Krein (M.G.) .- Stability of solutions of differential equations in Banach spaces, Amer. Math. Soc. Transl., Providence, R.I. (1974). | MR 352639

[3] Dishliev (A.B.) and Bainov (D.D.) .- Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces, J. Math. Anal. Appl., 135, n° 2 (1988), pp. 369-382. | MR 967216 | Zbl 0674.34005

[4] Hekimova (M.A.) and Bainov (D.D.) .- Periodic solutions of singularly perturbed systems of differential equations with impulse effect, ZAMP, 36 (1985), pp. 520-537. | MR 801524 | Zbl 0612.34033

[5] Lakshmikantham (V.) and Xinzhi Liu .- Stability for impulsive differential systems in terms of two measures, Appl. Math. Comp. (to appear). | MR 973495 | Zbl 0669.34056

[6] Lakshmikantham (V.) and Xinzhi Liu .- On quasi stability for impulsive differential systems, Nonlinear Analysis (to appear). | MR 999331 | Zbl 0688.34032

[7] Massera (J.L.) and Schäffer (J.J.) .- Linear differential equations and functional analysis, I, Ann. of Math., 67 (1958), pp. 517-573. | MR 96985 | Zbl 0178.17701

[8] Milev (N.V.) and Bainov (D.D.) . - Dichotomies for linear differential equations with variable structure and impulse effect, (to appear). | MR 1150157

[9] Palmer (K.J.) .- A perturbation theorem for exponential dichotomies, Proc. Roy. Soc. Edinburgh, 106A (1987), pp. 25-37. | MR 899938 | Zbl 0629.34058

[10] Simeonov (P.S.) and Bainov (D.D.) .- Stability with respect to part of the variables in systems with impulse effect, J. Math. Appl., 117, n° 1 (1986), pp. 247-263. | MR 843016 | Zbl 0588.34044