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Differentiability of solutions of systems with impulse effect with respect to initial data and parameter

Published online by Cambridge University Press:  20 January 2009

P. S. Simeonov  and
D. D. Bainov
P. S. Simeonov
Affiliation:
Plovdiv University“Paissii Hilendarski”PlovdivBulgaria
D. D. Bainov
Affiliation:
Plovdiv University“Paissii Hilendarski”PlovdivBulgaria
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It is characteristic for the development of many processes that in certain moments they change their state in jumps. Systems with impulse effect provide an adequate mathematical model of such processes. The investigation of these systems begins with the paper of Millman and Myshkis [7] and afterwards the number of publications dedicated to this problem rapidly increases.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 3 , October 1988 , pp. 353 - 368
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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