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Lp-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space

Published online by Cambridge University Press:  20 January 2009

D. D. Bainov
Affiliation:
Plovdiv University, Bulgaria
S. I. Kostadinov
Affiliation:
Plovdiv University, Bulgaria
P. P. Zabreiko
Affiliation:
Byelorussian University, Byelorussia
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Abstract

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In the present paper by means of the Schauder-Tychonoff principle sufficient conditions are obtained for Lp-equivalence of a linear and a nonlinear impulsive differential equations.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

1.Bainov, D. D. and Simeonov, P. S., Stability Theory of Differential Equations with Impulse Effect: Theory and Applications (Ellis Horwood, 1989).Google Scholar
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