{"title":"具有次线性中立项的二阶非线性微分方程的振动性","authors":"S. Tamilvanan, E. Thandapani, J. Džurina","doi":"10.7153/DEA-09-03","DOIUrl":null,"url":null,"abstract":"In this paper the authors established sufficient conditions for the oscillation of all solutions of a nonlinear differential equation ( a(t) ( x(t)+ p(t)xα (τ(t)) )′)′ +q(t)xβ ( σ(t) ) = 0, t t0, where α and β are ratio of odd positive integers. The results obtained here extend and improve some of the existing results. Examples are included to illustrate the importance of the results. Mathematics subject classification (2010): 34C10, 34K11.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"1 1","pages":"29-35"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Oscillation of second order nonlinear differential equation with sub-linear neutral term\",\"authors\":\"S. Tamilvanan, E. Thandapani, J. Džurina\",\"doi\":\"10.7153/DEA-09-03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper the authors established sufficient conditions for the oscillation of all solutions of a nonlinear differential equation ( a(t) ( x(t)+ p(t)xα (τ(t)) )′)′ +q(t)xβ ( σ(t) ) = 0, t t0, where α and β are ratio of odd positive integers. The results obtained here extend and improve some of the existing results. Examples are included to illustrate the importance of the results. Mathematics subject classification (2010): 34C10, 34K11.\",\"PeriodicalId\":11162,\"journal\":{\"name\":\"Differential Equations and Applications\",\"volume\":\"1 1\",\"pages\":\"29-35\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-09-03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-09-03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Oscillation of second order nonlinear differential equation with sub-linear neutral term
In this paper the authors established sufficient conditions for the oscillation of all solutions of a nonlinear differential equation ( a(t) ( x(t)+ p(t)xα (τ(t)) )′)′ +q(t)xβ ( σ(t) ) = 0, t t0, where α and β are ratio of odd positive integers. The results obtained here extend and improve some of the existing results. Examples are included to illustrate the importance of the results. Mathematics subject classification (2010): 34C10, 34K11.
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