{"title":"On the oscillation of solutions of the differential equation y″′ + Ay′ + By = 0","authors":"S. M. Elzaidi","doi":"10.1080/02781070410001713044","DOIUrl":null,"url":null,"abstract":"Suppose A and B are entire functions. We assume that A is transcendental. If either the order of B is less than the order of A and the order of A is less than 1/2, or the order of A is zero and B is a polynomial, it is shown that every nonconstant solution of the differential equation has infinitely many zeros.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070410001713044","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
Suppose A and B are entire functions. We assume that A is transcendental. If either the order of B is less than the order of A and the order of A is less than 1/2, or the order of A is zero and B is a polynomial, it is shown that every nonconstant solution of the differential equation has infinitely many zeros.
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