{"title":"一类带参数边值问题正解的存在性","authors":"Lifen Li","doi":"10.1109/ICMLC.2011.6016811","DOIUrl":null,"url":null,"abstract":"In this paper, the existence of positive solutions is studied for some boundary value problem with parameter. In our discussion, the nonlinearity can change sign, while prevenient literatures need the nonlinearity is non-negative. We combine the method of upper and lower solution and the method of topology degree and then obtain the existence of positive solutions for the boundary value problem. In addition, concrete interval of parameter is given.","PeriodicalId":228516,"journal":{"name":"2011 International Conference on Machine Learning and Cybernetics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of positive solutions for some boundary value problem with parameter\",\"authors\":\"Lifen Li\",\"doi\":\"10.1109/ICMLC.2011.6016811\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the existence of positive solutions is studied for some boundary value problem with parameter. In our discussion, the nonlinearity can change sign, while prevenient literatures need the nonlinearity is non-negative. We combine the method of upper and lower solution and the method of topology degree and then obtain the existence of positive solutions for the boundary value problem. In addition, concrete interval of parameter is given.\",\"PeriodicalId\":228516,\"journal\":{\"name\":\"2011 International Conference on Machine Learning and Cybernetics\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-07-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Machine Learning and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMLC.2011.6016811\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Machine Learning and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLC.2011.6016811","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of positive solutions for some boundary value problem with parameter
In this paper, the existence of positive solutions is studied for some boundary value problem with parameter. In our discussion, the nonlinearity can change sign, while prevenient literatures need the nonlinearity is non-negative. We combine the method of upper and lower solution and the method of topology degree and then obtain the existence of positive solutions for the boundary value problem. In addition, concrete interval of parameter is given.
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