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BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS

Part of: Functional-differential and differential-difference equations

Published online by Cambridge University Press:  01 April 2008

I. M. Stamova
I. M. Stamova*
Affiliation:
Bourgas Free University, 8000 Burgas, Bulgaria (email: [email protected])
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Abstract

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In the present paper an initial value problem for impulsive functional differential equations with variable impulsive perturbations is considered. By means of piecewise continuous functions coupled with the Razumikhin technique, sufficient conditions for boundedness of solutions of such equations are found.

Keywords

boundednessimpulsive functional differential equationsvariable impulsive perturbations

MSC classification

Secondary: 34K45: Equations with impulses
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 2 , April 2008 , pp. 331 - 345
Copyright
Copyright © 2008 Australian Mathematical Society

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