{"title":"Positive Solutions to a Class of Second-Order Nonlinear Dirichlet Problems with Time Singularity","authors":"Y. Qing-liu","doi":"10.3724/SP.J.1160.2012.00008","DOIUrl":null,"url":null,"abstract":"Three local existence theorems are established for a second-order nonlinear Dirichlet problem with time singularity by using Hammastein integral equation and fixed point theorem on cone.Main results show that the problem has n positive solutions provided the heights of principal part of nonlinear term on some bounded sets are appropriate,where n is an arbitrary positive integer.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"8"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2012.00008","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
Three local existence theorems are established for a second-order nonlinear Dirichlet problem with time singularity by using Hammastein integral equation and fixed point theorem on cone.Main results show that the problem has n positive solutions provided the heights of principal part of nonlinear term on some bounded sets are appropriate,where n is an arbitrary positive integer.
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