Geodesic
On the stability analysis of Darboux problem on both bounded and unbounded domains
Applications of Mathematics, Tome 69 (2024) no. 1, pp. 139-150.

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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.
DOI : 10.21136/AM.2023.0200-22
Classification : 34A12, 35L70, 47H10
Keywords: Darboux problem; partial differential equation; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; Wendorff lemma 
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Çelik, Canan; Develi, Faruk. On the stability analysis of Darboux problem on both bounded and unbounded domains. Applications of Mathematics, Tome 69 (2024) no. 1, pp. 139-150. doi : 10.21136/AM.2023.0200-22. http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0200-22/

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