Satco Bianca: Fixed-time and state-dependent time discontinuities in the theory of Stieltjes differential equations. (2022)
![[thumbnail of ejqtde_2022_028.pdf]](http://acta.bibl.u-szeged.hu/style/images/fileicons/full.png) |
Teljes mű
ejqtde_2022_028.pdf Download (474kB) |
Abstract
In the present paper, we are concerned with a very general problem, namely the Stieltjes differential Cauchy problem involving state-dependent discontinuities. Given that the theory of Stieltjes differential equations covers the framework of impulsive problems with fixed-time impulses, in the present work we generalize this setting by allowing the occurrence of fixed-time impulses, as well as the occurrence of state-dependent impulses. Along with an existence result obtained under an overarching set of assumptions involving Stieltjes integrals, it is showed that a least and a greatest solution can be found.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2022 |
| Number: | 28 |
| ISSN: | 1417-3875 |
| Number of Pages: | 17 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2022.1.28 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 15-17. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2022. Sep. 08. 15:09 |
| Last Modified: | 2022. Nov. 08. 08:36 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/76529 |
Actions (login required)
 |
View Item |
