Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2024-05-17 DOI:10.1155/2024/2432993

C. Hung

引用次数: 0

Abstract

In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age-structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.

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一些带延迟算子的偏微分方程经常产生的超循环半群

在本文中，在适当的假设条件下，我们得到了带延迟算子的偏微分方程半群解的存在性。这些方程用于描述时间-年龄结构的细胞周期模型。我们还证明了该解半群是一个频繁的超循环半群。

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

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.