Almost periodic dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-23 DOI:10.1515/math-2024-0006

Qian Wang, Wei Wang, Qian Zhan

引用次数: 0

Abstract

In this study, we are concerned with the existence and exponential stability issue of a delayed differential neoclassical growth model with discontinuous control strategy. By employing the Filippov’s theory and dichotomy theory, together with the Lyapunov functional method, novel criteria on existence and exponential stability are established for the addressed model. The established theoretical results extend and supplement the related results in the existing literature. Moreover, a simulation example is presented to verify the practicability of the proposed results.

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具有非连续控制策略的延迟微分新古典增长模型的近周期动力学

在本研究中，我们关注的是具有不连续控制策略的延迟微分新古典增长模型的存在性和指数稳定性问题。通过运用菲利波夫理论和二分法理论，结合李亚普诺夫函数方法，我们为该模型建立了新的存在性和指数稳定性准则。所建立的理论结果扩展并补充了现有文献中的相关结果。此外，还提出了一个仿真实例来验证所提结果的实用性。

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.