Article
| Title: | The Picard-Lindelöf Theorem and continuation of solutions for measure differential equations (English) |
| Author: | Beltritti, Gastón |
| Author: | Demaria, Stefania |
| Author: | Giubergia, Graciela |
| Author: | Mazzone, Fernando |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 1 |
| Year: | 2025 |
| Pages: | 47-68 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We obtain, by means of Banach's Fixed Point Theorem, convergence for the Picard iterations associated to a general nonlinear system of measure differential equations. We study the existence of left-continuous solutions defined on maximal intervals and we establish some properties of these maximal solutions. (English) |
| Keyword: | measure differential equation |
| Keyword: | Lebesgue-Stieltjes integral |
| Keyword: | fixed point theory |
| Keyword: | maximal solution |
| MSC: | 34A36 |
| MSC: | 34A37 |
| MSC: | 34A38 |
| MSC: | 34A40 |
| DOI: | 10.21136/CMJ.2023.0236-22 |
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| Date available: | 2025-03-11T15:55:48Z |
| Last updated: | 2025-03-19 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152896 |
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