{"title":"非线性中性动力方程在时间尺度上的振动","authors":"Chhatria, G. N., Grace, Said R., Graef, John R.","doi":"10.1186/s42787-021-00131-w","DOIUrl":null,"url":null,"abstract":"The authors present necessary and sufficient conditions for the oscillation of a class of second order non-linear neutral dynamic equations with non-positive neutral coefficients by using Krasnosel’skii’s fixed point theorem on time scales. The nonlinear function may be strongly sublinear or strongly superlinear.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"63 19","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Oscillation of nonlinear neutral dynamic equations on time scales\",\"authors\":\"Chhatria, G. N., Grace, Said R., Graef, John R.\",\"doi\":\"10.1186/s42787-021-00131-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors present necessary and sufficient conditions for the oscillation of a class of second order non-linear neutral dynamic equations with non-positive neutral coefficients by using Krasnosel’skii’s fixed point theorem on time scales. The nonlinear function may be strongly sublinear or strongly superlinear.\",\"PeriodicalId\":33345,\"journal\":{\"name\":\"Journal of the Egyptian Mathematical Society\",\"volume\":\"63 19\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Egyptian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1186/s42787-021-00131-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Egyptian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/s42787-021-00131-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Oscillation of nonlinear neutral dynamic equations on time scales
The authors present necessary and sufficient conditions for the oscillation of a class of second order non-linear neutral dynamic equations with non-positive neutral coefficients by using Krasnosel’skii’s fixed point theorem on time scales. The nonlinear function may be strongly sublinear or strongly superlinear.
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