Periodic solutions of quasilinear non-autonomous systems with impulses
- 17 April 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 31 (2) , 185-197
- https://doi.org/10.1017/s0004972700004688
Abstract
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.Keywords
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