{"title":"时间尺度上高阶非线性时滞动力学方程解的振动性","authors":"Zhanhuo Chen, T. Sun, Xin Wu","doi":"10.1109/IWCFTA.2012.28","DOIUrl":null,"url":null,"abstract":"In this paper, we will discuss the oscillation of solutions of higher-order nonlinear delay dynamic equations on time scales, which have the following form S<sub>n</sub><sup>Δ</sup> (t, x) + p(t)f(x(τ(t))) = 0. We will establish some oscillation criteria for these dynamic equations. Our results improve some previously obtained ones.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Oscillation of Solutions for Higher-order Nonlinear Delay Dynamic Equations on Time Scales\",\"authors\":\"Zhanhuo Chen, T. Sun, Xin Wu\",\"doi\":\"10.1109/IWCFTA.2012.28\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we will discuss the oscillation of solutions of higher-order nonlinear delay dynamic equations on time scales, which have the following form S<sub>n</sub><sup>Δ</sup> (t, x) + p(t)f(x(τ(t))) = 0. We will establish some oscillation criteria for these dynamic equations. Our results improve some previously obtained ones.\",\"PeriodicalId\":354870,\"journal\":{\"name\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2012.28\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2012.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Oscillation of Solutions for Higher-order Nonlinear Delay Dynamic Equations on Time Scales
In this paper, we will discuss the oscillation of solutions of higher-order nonlinear delay dynamic equations on time scales, which have the following form SnΔ (t, x) + p(t)f(x(τ(t))) = 0. We will establish some oscillation criteria for these dynamic equations. Our results improve some previously obtained ones.