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Periodic solutions of neutral impulsive systems with a small delay. (English) Zbl 0843.34069

Bainov, D. (ed.) et al., Proceedings of the fourth international colloquium on differential equations, Plovdiv, Bulgaria, August 18-22, 1993. Utrecht: VSP. 125-135 (1994).
Summary: For a neutral impulsive system with delay under certain assumptions it is proved that if the corresponding system without delay has an isolated \(\omega\)-periodic solution, then in any neighbourhood of this orbit the system considered also has an \(\omega\)-periodic solution, if the delay is small enough.
For the entire collection see [Zbl 0835.00017].

MSC:

34K13 Periodic solutions to functional-differential equations
34A37 Ordinary differential equations with impulses
34K40 Neutral functional-differential equations
34C25 Periodic solutions to ordinary differential equations
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