Jodar, L.; Villanueva, R. J.; Covachev, V. Chr. 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 Keywords:periodic solution; neutral impulsive system with delay PDFBibTeX XMLCite \textit{L. Jodar} et al., in: Proceedings of the fourth international colloquium on differential equations, Plovdiv, Bulgaria, August 18-22, 1993. Utrecht: VSP. 125--135 (1994; Zbl 0843.34069)