{"title":"混合型偏离参数的偶阶线性泛函微分方程的性质","authors":"J. Džurina","doi":"10.7494/opmath.2022.42.5.659","DOIUrl":null,"url":null,"abstract":"This paper is concerned with oscillatory behavior of linear functional differential equations of the type \\[y^{(n)}(t)=p(t)y(\\tau(t))\\] with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of \\((0,\\infty)\\). Our attention is oriented to the Euler type of equation, i.e. when \\(p(t)\\sim a/t^n.\\)","PeriodicalId":45563,"journal":{"name":"Opuscula Mathematica","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Properties of even order linear functional differential equations with deviating arguments of mixed type\",\"authors\":\"J. Džurina\",\"doi\":\"10.7494/opmath.2022.42.5.659\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with oscillatory behavior of linear functional differential equations of the type \\\\[y^{(n)}(t)=p(t)y(\\\\tau(t))\\\\] with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of \\\\((0,\\\\infty)\\\\). Our attention is oriented to the Euler type of equation, i.e. when \\\\(p(t)\\\\sim a/t^n.\\\\)\",\"PeriodicalId\":45563,\"journal\":{\"name\":\"Opuscula Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Opuscula Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7494/opmath.2022.42.5.659\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Opuscula Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7494/opmath.2022.42.5.659","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Properties of even order linear functional differential equations with deviating arguments of mixed type
This paper is concerned with oscillatory behavior of linear functional differential equations of the type \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of \((0,\infty)\). Our attention is oriented to the Euler type of equation, i.e. when \(p(t)\sim a/t^n.\)
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