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On the stability analysis of Darboux problem on both bounded and unbounded domains

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Yildiz Technical University, Davutpaşa Mah. Davutpaşa Caddesi, 34220, Istanbul, Turkey

    Canan Çelik & Faruk Develi

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  1. Canan Çelik
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  2. Faruk Develi
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Correspondence to Faruk Develi.

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Çelik, C., Develi, F. On the stability analysis of Darboux problem on both bounded and unbounded domains. Appl Math 69, 139–150 (2024). https://doi.org/10.21136/AM.2023.0200-22

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