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Periodic solutions of quasilinear non-autonomous systems with impulses

Published online by Cambridge University Press:  17 April 2009

S.G. Hristova  and
D.D. Bainov
S.G. Hristova
Affiliation:
23 Oborishte Str., 1504 Sofia, Bulgaria.
D.D. Bainov
Affiliation:
23 Oborishte Str., 1504 Sofia, Bulgaria.
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Abstract

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The paper considers a system of differential equations with impulse perturbations at fixed moments in time of the form

where x ∈ Rn, ε is a small parameter,

Sufficient conditions are found for the existence of the periodic solution of the given system in the critical and non-critical cases.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 2 , April 1985 , pp. 185 - 197
Copyright
Copyright © Australian Mathematical Society 1985

References

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