Volterra–Stieltjes integral equations and impulsive Volterra–Stieltjes integral equations
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 5,p. 1-20
- https://doi.org/10.14232/ejqtde.2021.1.5
Abstract
In this paper, we prove existence and uniqueness of solutions of Volterra Stieltjes integral equations using the Henstock-Kurzweil integral. Also, we prove that these equations encompass impulsive Volterra-Stieltjes integral equations and prove the existence and uniqueness for these equations. Finally, we present some examples to illustrate our results.Keywords
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