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

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2023-11-03 DOI:10.21136/AM.2023.0200-22

Canan Çelik, Faruk Develi

引用次数: 0

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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关于达尔布问题在有界域和无界域上的稳定性分析

在本文中，我们首先研究了在有界域和无界域上具有修正参数的达尔布问题解的存在性和唯一性。然后，我们推导了所提问题在这些域上的不同类型的 Ulam 稳定性。最后，我们列举了一些示例来支持我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.