Namjip Koo and Hyunhee Lee. Variationally Stable Impulsive Integro-Differential Systems. Dynamic Systems and Applications 29 (2020), No. 2, 343-354

https://doi.org/10.46719/dsa202029210

ABSTRACT. In this paper we develop an impulsive comparison principle for solutions of nonlinear impulsive integro-differential systems. Then we study the stability properties of solutions of nonlinear impulsive integro-differential systems by using the impulsive comparison principle under the stability properties of the corresponding variational impulsive integro-differential systems. Also, we give an example to illustrate our results.

AMS (MOS) Subject Classification. 34A37, 34D20, 34K20, 34K45, 45J05, 45M10.

Key Words and Phrases. impulsive integro-differential system, variational impulsive system,
h-stability, impulsive comparison principle.