Article
| Title: | On the stability analysis of Darboux problem on both bounded and unbounded domains (English) |
| Author: | Çelik, Canan |
| Author: | Develi, Faruk |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 69 |
| Issue: | 1 |
| Year: | 2024 |
| Pages: | 139-150 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results. (English) |
| Keyword: | Darboux problem |
| Keyword: | partial differential equation |
| Keyword: | Ulam-Hyers stability |
| Keyword: | Ulam-Hyers-Rassias stability |
| Keyword: | Wendorff lemma |
| MSC: | 34A12 |
| MSC: | 35L70 |
| MSC: | 47H10 |
| DOI: | 10.21136/AM.2023.0200-22 |
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| Date available: | 2024-02-26T10:57:57Z |
| Last updated: | 2024-03-04 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152256 |
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