一类带脉冲的区间值微分方程的解相对于长度约束的存在性

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2024-03-18 DOI:10.1016/j.fss.2024.108943

Hongzhou Wang , Rosana Rodríguez-López , Alireza Khastan

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引用次数: 0

摘要

本文提供了一个新的模型框架，用于研究具有长度约束的区间值动力系统。我们用脉冲代替开关点来控制 gH 微分条件下的区间值微分方程解的长度。首先，我们考虑一类带脉冲的区间值微分方程。然后，我们研究相对于长度约束的带脉冲的区间值微分方程。我们应用度量空间中的定点理论，证明了一些存在性结果。我们举了几个例子来说明理论结果。

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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Existence of solutions to a class of interval-valued differential equation with impulses relative to length constraints

This paper provides a new model framework to study interval-valued dynamical systems with length constraints. We use impulses instead of switching points to control the length of solutions to interval-valued differential equation under gH-differentiability. Firstly, we consider a class of interval-valued differential equation with impulses. Then, we study interval-valued differential equation with impulses relative to length constraints. Applying fixed point theory in metric space, we prove some existence results. Several examples are given to illustrate the theoretical results.

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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.