%0 Journal Article
%T EXISTENCE OF MONOTONE POSITIVE SOLUTION FOR SECOND-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS<br>二阶两点边值问题单调正解的存在性
%A SUN Yongping
%A <br>孙永平
%J 系统科学与数学
%D 2010
%I 
%X In this paper, the following nonlinear second-order two-point boundary value problem is considered: $$\left\{\aligned & x'(t)+f(t,x(t))=0,\quad 0\leq t\leq 1,\\&x(0)=\xi x(1),\quad x'(1)=\eta x'(0),\endaligned\right.$$where $\xi,\ \eta\in(0,1)\cup(1,\infty),\ f:0,1]\times0,\infty)\to0,\infty)$ is continuous. Under some suitable growth conditions on $f$, the existence of monotne positive solutions for the problem is proved by applying a fixed point theorem due to Avery, Anderson and Krueger.
%K Second-order two-point BVPs
%K monotone positive solutions
%K existence
%K fixed point theorem<br>二阶两点边值问题
%K 单调正解
%K 存在性
%K 不动点定理.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=C981AD6A709F4CD456C161F29165CB2B&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=0B39A22176CE99FB&sid=769BD58726D66E7D&eid=3F0AF5EDBC960DB0&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=14