{"title":"一类四阶边值问题的极大值原理","authors":"Bo Yang","doi":"10.7153/DEA-2017-09-33","DOIUrl":null,"url":null,"abstract":"We consider a boundary value problem for the beam equation. Some upper and lower bounds for positive solutions of the boundary value problem are obtained. As an application, some new sufficient conditions for the existence and nonexistence of positive solutions for the boundary value problem are established.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"234 1","pages":"495-504"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Maximum Principle for a fourth order boundary value problem\",\"authors\":\"Bo Yang\",\"doi\":\"10.7153/DEA-2017-09-33\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a boundary value problem for the beam equation. Some upper and lower bounds for positive solutions of the boundary value problem are obtained. As an application, some new sufficient conditions for the existence and nonexistence of positive solutions for the boundary value problem are established.\",\"PeriodicalId\":11162,\"journal\":{\"name\":\"Differential Equations and Applications\",\"volume\":\"234 1\",\"pages\":\"495-504\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2017-09-33\",\"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-2017-09-33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Maximum Principle for a fourth order boundary value problem
We consider a boundary value problem for the beam equation. Some upper and lower bounds for positive solutions of the boundary value problem are obtained. As an application, some new sufficient conditions for the existence and nonexistence of positive solutions for the boundary value problem are established.
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