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 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.