具有状态相关非局部条件的抽象微分方程的严格解法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-21 DOI:10.1007/s00009-024-02721-1

Jung-Chan Chang

引用次数: 0

摘要

在本文中，我们重点研究了一类具有状态依赖非局部条件的微分方程的严格解的存在性。利用定点定理和一般格伦沃尔不等式，我们给出了一些新结论。此外，我们还给出了一个例子来说明我们的结论是有价值的。

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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Strict Solutions to Abstract Differential Equations with State-Dependent Nonlocal Conditions

In this paper, we focus on the existence of strict solutions to a class of differential equations with state-dependent nonlocal conditions. Using fixed point theorems and general Gronwall inequality, we give some new conclusions. Moreover, an example is given to illustrate our conclusions valuable.

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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.