涉及Haddock猜想的非自治nfde的新渐近研究

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-11-30 DOI:10.1016/j.aml.2024.109410

Qian Wang

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引用次数: 0

摘要

本文将经典Haddock猜想推广到一类含时变时滞的非自治中立型泛函微分方程。利用Dini导数理论和不等式分析，在不要求时滞反馈函数的严格单调递增性质的情况下，证明了所考虑的NFDEs的每一个解都是有界的，并收敛于一个常数，充分完善和推广了已有的研究结果。

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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New asymptotic study on the non-autonomous NFDEs involving Haddock conjecture

The classical Haddock conjecture is extended to a kind of non-autonomous neutral functional differential equations (NFDEs) incorporating time-varying delays in this paper. By using the Dini derivative theory and inequality analyses, without requiring the strictly monotonically increasing property of the delay feedback function, it is demonstrated that every solution of the considered NFDEs is bounded and converges to a constant, which fully refines and generalizes the existing findings.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.