有限时滞随机脉冲泛函积分微分方程的存在性及Hyers-Ulam稳定性

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI:10.22034/CMDE.2020.32591.1512

A. Anguraj, K. Ramkumar, K. Ravikumar

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引用次数: 1

摘要

研究了有限时滞随机脉冲泛函积分微分方程的存在性和Hyers-Ulam稳定性。首先利用Banach不动点定理证明了方程温和解的存在性。在后一种情况下，我们探讨了有界闭区间上的Lipschitz条件下的Hyers Ulam稳定性结果。

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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Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays

In this article, we concentrate on the existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays. Initially, the existence of the mild solutions to the equations by utilizing Banach fixed point theorem is demonstrated. In the later case we explore the Hyers Ulam stability results under the Lipschitz condition on a bounded and closed interval.

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来源期刊

Computational Methods for Differential Equations MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

27.30%

发文量

审稿时长

4 weeks