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

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2024-05-23 DOI:10.1515/math-2024-0006

Qian Wang, Wei Wang, Qian Zhan

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引用次数: 0

摘要

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。

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

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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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: