{"title":"On the oscillatory behavior of solutions of canonical and noncanonical even-order neutral differential equations with distributed deviating arguments","authors":"A. El-Gaber","doi":"10.22436/jnsa.017.02.01","DOIUrl":null,"url":null,"abstract":"The oscillatory behavior of solutions of an even-order neutral differential equation with distributed deviating arguments is considered using Riccati, generalized Riccati transformations, integral averaging technique of Philos type and the theory of comparison. New sufficient conditions are established in both canonical and noncanonical cases. Two examples are given to support our results.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"6 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jnsa.017.02.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The oscillatory behavior of solutions of an even-order neutral differential equation with distributed deviating arguments is considered using Riccati, generalized Riccati transformations, integral averaging technique of Philos type and the theory of comparison. New sufficient conditions are established in both canonical and noncanonical cases. Two examples are given to support our results.
期刊介绍：
The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.
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