具有状态相关时滞的脉冲泛函抽象二阶微分方程的适定性

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-23 DOI:10.1515/ijnsns-2021-0160

K. Karthikeyan, D. Tamizharasan, T. Abdeljawad, K. Nisar

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引用次数: 0

摘要

摘要本文研究了具有状态相关时滞的泛函抽象二阶脉冲微分方程。该研究的主要结果是，具有状态相关时滞系统的抽象二阶脉冲微分方程至少有一个解，并且是唯一的。然后，定义了适定条件。接下来，我们将研究所提出的问题是否合理。最后，对我们的研究结果进行了说明。

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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Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay

Abstract This study investigates the functional abstract second order impulsive differential equation with state-dependent delay. The major result of this study is that the abstract second-order impulsive differential equation with state-dependent delay system has at least one solution and is unique. After that, the wellposed condition is defined. Following that, we look at whether the proposed problem is wellposed. Finally, some illustrations of our findings are provided.

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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.