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Applied Mathematics Research eXpress (2006) Vol. 2006 : article ID 94865, 13 pages, doi:10.1155/AMRX/2006/94865
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Copyright © 2006 Hindawi Publishing Corporation. All rights reserved.

On the conditional stability of impulsive functional differential equations

I. M. Stamova and G. T. Stamov

Department of Mathematics, Bourgas Free University 8000 Bourgas, Bulgaria E-mail address: stamova{at}bfu.bg
Department of Mathematics, Technical University 8800 Sliven, Bulgaria E-mail address: gstamov{at}abv.bg

We obtain sufficient conditions for conditional stability of the zero solution of impulsive functional differential equations with impulse perturbations at fixed moments of time. The main results are found by means of piecewise continuous functions, which are analogues of the classical Lyapunov functions and via the comparison method.


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