{"title":"微分方程y″' + Ay ' + By = 0解的振动性","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":"{\"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}","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}
On the oscillation of solutions of the differential equation y″′ + Ay′ + By = 0
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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