On the oscillation of second-order functional differential equations with a delayed damping term

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-17 DOI:10.1016/j.aml.2025.109464

Osama Moaaz , Higinio Ramos

引用次数: 0

Abstract

In this work, we derive some criteria for studying the asymptotic and oscillatory behavior of solutions of functional differential equations with a delayed damping term. Our results extend and improve upon the limited prior research on this type of equations. The primary goal is to derive criteria applicable to both ordinary and non-damped cases, while accounting for the effects of delay functions. Additionally, unlike previous studies, we provide criteria that ensure the oscillation of all solutions. The significance of these results is illustrated through remarks and examples.

查看原文本刊更多论文

在这项工作中，我们推导出了一些标准，用于研究带有延迟阻尼项的函数微分方程解的渐近和振荡行为。我们的结果扩展并改进了之前对这类方程的有限研究。我们的主要目标是推导出适用于普通和非阻尼情况的标准，同时考虑延迟函数的影响。此外，与之前的研究不同，我们提供的标准能确保所有解的振荡。我们将通过注释和示例来说明这些结果的意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.