On stability of nonlinear integro-differential systems with impulsive effect
Commun. Korean Math. Soc. 2020 Vol. 35, No. 3, 879-890
https://doi.org/10.4134/CKMS.c190414
Published online July 5, 2020
Bowon Kang, Namjip Koo, Hyunhee Lee
Chungnam National University; Chungnam National University; Chungnam National University
Abstract : In this paper we study the stability properties of solutions of nonlinear impulsive integro-differential systems by using an integral inequality under the stability of the corresponding variational impulsive integro-differential systems. Also, we give examples to illustrate our results.
Keywords : Impulsive integro-differential system, variational impulsive system, $h$-stability, integral inequality
MSC numbers : 34A37, 34D20, 34K20, 34K45, 45J05, 45M10
Supported by : This work was supported by research fund of Chungnam National University in 2018.
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