Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-12 DOI:10.1515/ijnsns-2021-0261

Pallavi S. Scindia, K. Nisar

引用次数: 2

Abstract

Abstract In this paper, by applying Pachpatte’s type integral inequality with integral impulses, we investigate Ulam–Hyers and Ulam–Hyers–Rassias stabilities for the impulsive Volterra delay integrodifferential equation Banach spaces. Suitable examples are given to support the obtained results.

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Banach空间中脉冲时滞积分微分方程的Ulam型稳定性

摘要本文应用具有积分脉冲的Pachpatte型积分不等式，研究了脉冲Volterra时滞积分微分方程Banach空间的Ulam–Hyers和Ulam–Hyers–Rassias稳定性。给出了合适的例子来支持所获得的结果。

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

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.