关于三阶时滞微分方程的振荡问题

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-07 DOI:10.1016/j.aml.2025.109555

Irena Jadlovská , Tongxing Li

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引用次数: 0

摘要

在本文中，我们补充了线性三阶延迟微分方程的现有振荡标准，为所谓的克奈瑟解（导数符号交替的非振荡解）的不存在建立了新的充分条件。我们提供的示例说明了我们对已知结果的重大改进。此外，本文的结论部分还讨论了本文所开发的新技术，该技术具有广泛的通用性。

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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A note on the oscillation of third-order delay differential equations

In the paper, we complement existing oscillation criteria for linear third-order delay differential equations by establishing novel sufficient conditions for the nonexistence of so-called Kneser solutions (nonoscillatory solutions with alternating signs of their derivatives). The significant extent of our improvement over known results is illustrated by the example provided. Furthermore, the technique developed here is novel and admits a broad range of possible generalizations, as is discussed in the concluding part of the paper.

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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.