%0 Journal Article
%T POSITIVE SOLUTIONS FOR A CLASS OF N TH-ORDER M-POINT SINGULAR BOUNDARY VALUE PROBLEM<br>一类n-阶m-点奇异边值问题的正解
%A HAO Xinan LIU Lishan
%A <br>郝新安
%A 刘立山
%J 系统科学与数学
%D 2010
%I 
%X In this paper, by using Krasnosel'skill fixed point theorem,the existence result of positive solutions is established for the following $n$th-order $m$-point singularboundary value problem:$$\left\{\aligned& u^{(n)}(t)+h(t)f(t,u(t),u'(t),\cdots,u^{(n-2)}(t))=0,\ \ 0<t<1,\\& u(0)=u'(0)=\cdots=u^{(n-2)}(0)=0,\ u^{(n-2)}(1)=\sum_{i=1}^{m-2}k_{i}u^{(n-2)}(\xi_{i}), \endaligned\right.$$where $h(t)$ can be singular at $t=0,\ t=1$, $f(t,v_0,v_1,\cdots,v_{n-2})$ may also be singular at $v_{i}=0\ (i=0,1,\cdots,n-2)$.
%K Positive solution
%K nth-order m-point singular boundary value problem
%K fixed point theorem<br>正解
%K n-阶m-点奇异边值问题
%K 不动点定理.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=AF61BFA1042FAF43A939E6887D8A77A5&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=CA4FD0336C81A37A&sid=7F5DDA4924737DF5&eid=1F199509C0B6C4D6&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=9