{"title":"Oscillations caused by several non-monotone deviating arguments","authors":"G. Chatzarakis","doi":"10.7153/DEA-2017-09-22","DOIUrl":null,"url":null,"abstract":"This paper presents new sufficient conditions, involving limsup and lim inf , for the oscillation of all solutions of differential equations with several non-monotone deviating arguments and nonnegative coefficients. Corresponding differential equations of both delay and advanced type are studied. We illustrate the results and the improvement over other known oscillation criteria by examples, numerically solved in MATLAB.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"1 1","pages":"285-310"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2017-09-22","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
This paper presents new sufficient conditions, involving limsup and lim inf , for the oscillation of all solutions of differential equations with several non-monotone deviating arguments and nonnegative coefficients. Corresponding differential equations of both delay and advanced type are studied. We illustrate the results and the improvement over other known oscillation criteria by examples, numerically solved in MATLAB.
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