Evolution Integro-Differential Inclusions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-09 DOI:10.1007/s11228-024-00707-5

Abderrahim Bouach, Tahar Haddad, Lionel Thibault

引用次数: 0

Abstract

The aim of the present paper is to state and discuss the well-posedness of a new evolution inclusion governed by the subdifferential of a function \(\varphi \) perturbed both by a Carathéodory mapping and by an integral forcing term. The integrand of the forcing term depends on two time-variables. We prove the existence and uniqueness of local and global solution, assuming that \(\varphi \) is primal lower regular and the perturbation terms satisfy some standard conditions. The results are applied to the study of non-regular electrical circuits with tranmission line, Zener diode and inductor. A second application is concerned with semilinear heat equation with memory. These applications illustrate an additional novelty of our paper.

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演化积分微分夹杂物

本文的目的是阐述和讨论一个新的演化包络的良好拟合性，该包络受一个函数 \(\varphi \)的次微分支配，该函数既受到卡拉瑟奥多里映射的扰动，也受到一个积分强迫项的扰动。强迫项的积分取决于两个时间变量。假设 \(\varphi \)是初等下正则且扰动项满足一些标准条件，我们证明了局部和全局解的存在性和唯一性。这些结果被应用于研究带有传输线、齐纳二极管和电感器的非规则电路。第二个应用涉及有记忆的半线性热方程。这些应用说明了我们论文的另一个新颖之处。

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

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.