New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof

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成果类型：

期刊论文

作者：

Chuangxia Huang*;Xiaodan Ding

通讯作者：

Chuangxia Huang

作者机构：

College of Science, Hunan University of Science and Engineering, Yongzhou 425199, Hunan, China

[Xiaodan Ding] School of Mathematics and Statistics, Changsha University of Science and Technology

Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, Hunan, China

[Chuangxia Huang] College of Science, Hunan University of Science and Engineering, Yongzhou 425199, Hunan, China<&wdkj&>School of Mathematics and Statistics, Changsha University of Science and Technology

[Chuangxia Huang; Xiaodan Ding] Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, Hunan, China

通讯机构：

[Chuangxia Huang] C

College of Science, Hunan University of Science and Engineering, Yongzhou 425199, Hunan, China<&wdkj&>School of Mathematics and Statistics, Changsha University of Science and Technology

Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, Hunan, China

语种：

英文

期刊：

Nonlinear Analysis: Real World Applications

ISSN：

1468-1218

年：

2025

卷：

页码：

104226

DOI：

10.1016/j.nonrwa.2024.104226

机构署名：

本校为通讯机构

院系归属：

数学与统计学院

摘要：

In this paper, the famous Bernfeld–Haddock conjecture is generalized to a broader form combining with a class of non-autonomous delay differential equations. With the help of differential inequality technique and Dini derivative theory, it is proved that each solution of the addressed equations has boundedness and tends to a constant without requiring the delay feedback function to be strictly increasing, which greatly refines and extends the corresponding results in the existing literature. In particular, an explanatory example is performed t...

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New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof

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