Volterra–Stieltjes integral equations and impulsive Volterra–Stieltjes integral equations

摘要

In this paper, we prove existence and uniqueness of solutions of Volterra–Stieltjes integral equations using the Henstock–Kurzweil integral. Also, we prove thatthese equations encompass impulsive Volterra–Stieltjes integral equations and provethe existence and uniqueness for these equations. Finally, we present some examples toillustrate our results.