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Lipschitz stability of impulsive functional-differential equations

Published online by Cambridge University Press:  17 February 2009

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

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An initial value problem is considered for impulsive functional-differential equations. The impulses occur at fixed moments of time. Sufficient conditions are found for Lipschitz stability of the zero solution of these equations. An application in impulsive population dynamics is also discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 4 , April 2001 , pp. 504 - 514
Copyright
Copyright © Australian Mathematical Society 2001

References

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