Stability of the solutions of impulsive integro-differential equations in terms of two measures

G. K. Kulev; D. D. Bainov

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 1, page 93-110
  • ISSN: 0764-583X

How to cite

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Kulev, G. K., and 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 25.1 (1991): 93-110. <http://eudml.org/doc/193623>.

@article{Kulev1991,
author = {Kulev, G. K., Bainov, D. D.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {asymptotic stability; uniform asymptotic stability; Lyapunov functions; impulsive systems; integrodifferential equations of Volterra type},
language = {eng},
number = {1},
pages = {93-110},
publisher = {Dunod},
title = {Stability of the solutions of impulsive integro-differential equations in terms of two measures},
url = {http://eudml.org/doc/193623},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Kulev, G. K.
AU - Bainov, D. D.
TI - Stability of the solutions of impulsive integro-differential equations in terms of two measures
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 1
SP - 93
EP - 110
LA - eng
KW - asymptotic stability; uniform asymptotic stability; Lyapunov functions; impulsive systems; integrodifferential equations of Volterra type
UR - http://eudml.org/doc/193623
ER -

References

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  1. [1] D. D. BAINOV, V. LAKSHMIKANTHAM, P. S. SIMEONOV, Theory of Impulsive Differential Equations (to appear). Zbl0719.34002MR1082551
  2. [2] A. M. SAMOILENKO, N. A. PERESTYUK, Differential Equations with Impulse Effect, Višča škola, Kiev, 1987 (in Russian). 
  3. [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. Zbl0634.34040MR922974
  4. [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. Zbl0729.93052MR964604
  5. [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). Zbl0684.34053MR1042188
  6. [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). Zbl0681.34042MR1001859
  7. [7] HINZHI LIU, V. LAKSHMIKANTHAM, Stability for impulsive differential Systems in terms of two measures (to appear). Zbl0669.34056
  8. [8] V. LAKSHMIKANTHAM, Some problems in integro-differential equations of Volterra type, J. Integral Equations, 10 (1985), 137-146. Zbl0598.45015MR831240
  9. [9] V. LAKSHMIKANTHAM, S. LEELA, Differential and Integral Inequahties, Vol. I, Academic Press, New York, 1969 Zbl0177.12403
  10. [10] V. LAKSHMIKANTHAM, M. RAMA MOHANA RAO, Integro-differential equations and extension of Lyapunov's method, J. Math. Anal. Appl., 30 (1970), 435-447. Zbl0174.16303MR254549

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