Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation

Nedelcho Velev Milev; Drumi Dimitrov Bainov

Annales de la Faculté des sciences de Toulouse : Mathématiques (1991)

  • Volume: 12, Issue: 1, page 127-135
  • ISSN: 0240-2963

How to cite

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Milev, Nedelcho Velev, and Bainov, Drumi Dimitrov. "Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.1 (1991): 127-135. <http://eudml.org/doc/73272>.

@article{Milev1991,
author = {Milev, Nedelcho Velev, Bainov, Drumi Dimitrov},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {linear differential equation; impulses; ordinary dichotomy; perturbations of the coefficient matrix},
language = {eng},
number = {1},
pages = {127-135},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation},
url = {http://eudml.org/doc/73272},
volume = {12},
year = {1991},
}

TY - JOUR
AU - Milev, Nedelcho Velev
AU - Bainov, Drumi Dimitrov
TI - Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1991
PB - UNIVERSITE PAUL SABATIER
VL - 12
IS - 1
SP - 127
EP - 135
LA - eng
KW - linear differential equation; impulses; ordinary dichotomy; perturbations of the coefficient matrix
UR - http://eudml.org/doc/73272
ER -

References

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  1. [1] Coppel ( W.A.) .— Dichotomies in stability theory, Lecture Notes in Math., Springer-Verlag, 629 (1978). Zbl0376.34001MR481196
  2. [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). MR352639
  3. [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. Zbl0674.34005MR967216
  4. [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. Zbl0612.34033MR801524
  5. [5] Lakshmikantham ( V.) and Xinzhi Liu .— Stability for impulsive differential systems in terms of two measures, Appl. Math. Comp. (to appear). Zbl0669.34056MR973495
  6. [6] Lakshmikantham ( V.) and Xinzhi Liu .— On quasi stability for impulsive differential systems, Nonlinear Analysis (to appear). Zbl0688.34032MR999331
  7. [7] Massera ( J.L.) and Schäffer ( J.J.) .— Linear differential equations and functional analysis, I, Ann. of Math., 67 (1958), pp. 517-573. Zbl0178.17701MR96985
  8. [8] Milev ( N.V.) and Bainov ( D.D.) . — Dichotomies for linear differential equations with variable structure and impulse effect, (to appear). MR1150157
  9. [9] Palmer ( K.J.) .— A perturbation theorem for exponential dichotomies, Proc. Roy. Soc. Edinburgh, 106A (1987), pp. 25-37. Zbl0629.34058MR899938
  10. [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. Zbl0588.34044MR843016

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