{"title":"广义希尔方程的一个新的振荡判据","authors":"G. Grigorian","doi":"10.7153/DEA-2017-09-26","DOIUrl":null,"url":null,"abstract":"In this note we use an oscillatory theorem for the second order linear ordinary differential equation in order to establish an oscillatory criterion for the generalized Hill’s equation. We formulate a hypothesis about representation of the sum of periodic functions with rational dependent periods by a sum of periodic functions with rational independent periods.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"22 1","pages":"369-377"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A new oscillatory criterion for the generalized Hill's equation\",\"authors\":\"G. Grigorian\",\"doi\":\"10.7153/DEA-2017-09-26\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this note we use an oscillatory theorem for the second order linear ordinary differential equation in order to establish an oscillatory criterion for the generalized Hill’s equation. We formulate a hypothesis about representation of the sum of periodic functions with rational dependent periods by a sum of periodic functions with rational independent periods.\",\"PeriodicalId\":11162,\"journal\":{\"name\":\"Differential Equations and Applications\",\"volume\":\"22 1\",\"pages\":\"369-377\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2017-09-26\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2017-09-26","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new oscillatory criterion for the generalized Hill's equation
In this note we use an oscillatory theorem for the second order linear ordinary differential equation in order to establish an oscillatory criterion for the generalized Hill’s equation. We formulate a hypothesis about representation of the sum of periodic functions with rational dependent periods by a sum of periodic functions with rational independent periods.
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