{"title":"时间尺度上n阶非线性中立型时滞动力学方程的振动性","authors":"Yaru Zhou, Zhanhe Chen, T. Sun","doi":"10.22436/jnsa.011.07.06","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the solution’s oscillation of nth-order nonlinear dynamic equation [an(t)((an−1(t)(· · · (a1(t)(x(t) − p(t)x(τ(t))))1) · · · ))n ] + f(t, x(δ(t))) = 0 on a time scale T with n > 2. We give some conditions for the oscillation of the above equation.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"25 5","pages":"937-946"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the oscillation for n th-order nonlinear neutral delay dynamic equations on time scales\",\"authors\":\"Yaru Zhou, Zhanhe Chen, T. Sun\",\"doi\":\"10.22436/jnsa.011.07.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the solution’s oscillation of nth-order nonlinear dynamic equation [an(t)((an−1(t)(· · · (a1(t)(x(t) − p(t)x(τ(t))))1) · · · ))n ] + f(t, x(δ(t))) = 0 on a time scale T with n > 2. We give some conditions for the oscillation of the above equation.\",\"PeriodicalId\":22770,\"journal\":{\"name\":\"The Journal of Nonlinear Sciences and Applications\",\"volume\":\"25 5\",\"pages\":\"937-946\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Nonlinear Sciences and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/jnsa.011.07.06\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jnsa.011.07.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the oscillation for n th-order nonlinear neutral delay dynamic equations on time scales
In this paper, we investigate the solution’s oscillation of nth-order nonlinear dynamic equation [an(t)((an−1(t)(· · · (a1(t)(x(t) − p(t)x(τ(t))))1) · · · ))n ] + f(t, x(δ(t))) = 0 on a time scale T with n > 2. We give some conditions for the oscillation of the above equation.
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