On the qualitative behaviors of stochastic delay integro-differential equations of second order

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-03-19 DOI:10.1186/s13660-024-03085-6

Ayman M. Mahmoud, Cemil Tunç

引用次数: 0

Abstract

In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.

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论二阶随机延迟积分微分方程的定性行为

本文研究了保证一种二阶随机延迟积分微分方程（SDIDE）解的稳定性、连续性和有界性的充分条件。为了证明主要结果，我们使用了 Lyapunov 函数。我们提供了一个例子来证明所获结果的适用性，其中包括本文的结果，并获得了比现有文献更好的结果。

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

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.