{"title":"Further results on zeros distribution for second order nonlinear neutral delay differential equations","authors":"Hui Li , Yupin Wang , Nana Jin","doi":"10.1016/j.aml.2025.109666","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the distribution of zeros of oscillatory solutions for a certain class of second order nonlinear neutral differential equations. By constructing some new function sequences and the properties of solutions for the corresponding first order differential inequality, several further results for the distance between adjacent zeros and sufficient conditions for oscillation are given, which generalize and extend some known results.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"171 ","pages":"Article 109666"},"PeriodicalIF":2.9000,"publicationDate":"2025-06-26","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/S0893965925002162","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the distribution of zeros of oscillatory solutions for a certain class of second order nonlinear neutral differential equations. By constructing some new function sequences and the properties of solutions for the corresponding first order differential inequality, several further results for the distance between adjacent zeros and sufficient conditions for oscillation are given, which generalize and extend some known results.
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.