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Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations

Published online by Cambridge University Press:  17 February 2009

D. D. Bainov
Affiliation:
Medical University of Sofia, P. O. Box 45, Sofia - 1504, Bulgaria.
I. M. Stamova
Affiliation:
Technical University of Sliven, Sliven, Bulgaria.
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Abstract

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By means of piecewise continuous vector functions, which are analogues of the classical Lyapunov functions and via the comparison method, sufficient conditions are found for conditional, stability of the zero solution of a system of impulsive differential-difference equations.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

References

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