非局部脉冲演化方程的近似可解法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-14 DOI:10.1515/math-2023-0155

Weifeng Ma, Yongxiang Li

引用次数: 0

摘要

在本文中，我们在不假设半群紧凑性的情况下，通过应用近似可解性方法和 C 0 半群无穷小生成器的 Yosida 近似，处理了在反身巴纳赫空间中具有非局部条件的半线性脉冲演化方程的温和解的存在性和唯一性问题。

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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Approximate solvability method for nonlocal impulsive evolution equation

In this article, without assuming the compactness of semigroup, we deal with the existence and uniqueness of a mild solution for semilinear impulsive evolution equation with nonlocal condition in a reflexive Banach space by applying the approximate solvability method and Yosida approximations of the infinitesimal generator of C 0-semigroup.

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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.