Stability of the solutions of impulsive integro-differential equations in terms of two measures
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 25 (1991) no. 1, p. 93-110
@article{M2AN_1991__25_1_93_0,
author = {Kulev, G. K. and Bainov, D. D.},
title = {Stability of the solutions of impulsive integro-differential equations in terms of two measures},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {Dunod},
volume = {25},
number = {1},
year = {1991},
pages = {93-110},
zbl = {0723.45014},
mrnumber = {1086842},
language = {en},
url = {http://www.numdam.org/item/M2AN_1991__25_1_93_0}
}

Kulev, G. K.; Bainov, D. D. Stability of the solutions of impulsive integro-differential equations in terms of two measures. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 25 (1991) no. 1, pp. 93-110. http://www.numdam.org/item/M2AN_1991__25_1_93_0/

[1] D. D. Bainov, V. Lakshmikantham, P. S. Simeonov, Theory of Impulsive Differential Equations (to appear). | MR 1082551 | Zbl 0719.34002

[2] A. M. Samoilenko, N. A. Perestyuk, Differential Equations with Impulse Effect, Višča škola, Kiev, 1987 (in Russian).

[3] G. K. Kulev, D. D. Bainov, Appplication of Lyapunov's direct method in the investigation of the global stability of the solutions of Systems with impulse effect, Appl. Analysis, Vol. 26 (1988), 255-270. | MR 922974 | Zbl 0634.34040

[4] G. K. Kulev, D. D. Bainov, Second method of Lyapunov and comparison principle for Systems with impulse effect, J. of Computational and Applied Mathematics, 23 (1988), 305-321. | MR 964604 | Zbl 0729.93052

[5] G. K. Kulev, D. D. Bainov, Stability of sets for Systems with impulses, Bull. Inst. of Math Academia Sinica, Vol. 17, No. 4 (to appear). | MR 1042188 | Zbl 0684.34053

[6] G. K. Kulev, D. D. Bainov, On the asymptotic stability of Systems with impulses by the direct method of Lyapunov, J. Math. Anal. Appl., 138 (1989) (to appear). | MR 1001859 | Zbl 0681.34042

[7] Hinzhi Liu, V. Lakshmikantham, Stability for impulsive differential Systems in terms of two measures (to appear). | Zbl 0669.34056

[8] V. Lakshmikantham, Some problems in integro-differential equations of Volterra type, J. Integral Equations, 10 (1985), 137-146. | MR 831240 | Zbl 0598.45015

[9] V. Lakshmikantham, S. Leela, Differential and Integral Inequahties, Vol. I, Academic Press, New York, 1969 | Zbl 0177.12403

[10] V. Lakshmikantham, M. Rama Mohana Rao, Integro-differential equations and extension of Lyapunov's method, J. Math. Anal. Appl., 30 (1970), 435-447. | MR 254549 | Zbl 0174.16303