Volterra-Stieltjes integral equations and impulsive Volterra-Stieltjes integral equations
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. Fina...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Integrálegyenlet, Volterra-Stieltjes integrálegyenletek |
| doi: | 10.14232/ejqtde.2021.1.5 |
| Online Access: | http://acta.bibl.u-szeged.hu/73657 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 20 |
| ISSN: | 1417-3875 |