{"title":"On the oscillation of second-order functional differential equations with a delayed damping term","authors":"Osama Moaaz , Higinio Ramos","doi":"10.1016/j.aml.2025.109464","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"163 ","pages":"Article 109464"},"PeriodicalIF":2.9000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965925000114","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
On the oscillation of second-order functional differential equations with a delayed damping term
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.
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.
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