%0 Journal Article %T EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR SECOND ORDER SINGULAR DIFFERENTIAL EQUATION WITH INTEGRAL BOUNDARY CONDITIONS
奇异二阶微分方程积分边值问题正解的存在唯一性 %A ZHANG Xingqiu %A
张兴秋 %J 系统科学与数学 %D 2010 %I %X By applying upper and lower solutions method together with maximal principle, the existence and uniqueness of positive solutions for a class of second order singular differential equations with integral boundary value problems are investigated. Sufficient conditions for the existences and uniqueness of $C0,1]$ positive solution as well as $C^10,1]$ are given. The nonlinearity $f(t,x)$ may be singular at $t=0,1$ and $x=0$. %K Singular equation %K integral boundary-value problem %K lower and upper solution %K positive solution
奇异方程 %K 积分边值问题 %K 上下解 %K 正解. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=A4F4D0DE18323F1850319E8AF8A7862E&yid=140ECF96957D60B2&vid=F3090AE9B60B7ED1&iid=F3090AE9B60B7ED1&sid=7B26CB38602C6F44&eid=B240D359488D2362&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0