%0 Journal Article
%T Positive Solutions of Fourth Order Singular Boundary Value Problems<br>四阶奇异边值问题的正解
%A KANG Ping
%A LIU Lishan
%A <br>康平
%J 系统科学与数学
%D 2008
%I 
%X This paper is concerned with the existence of positive solutions for a class of fourth order singular boundary value problems:$$\left\{\aligned &u^{(4)}(t)=a(t)f(t,u(t),u'(t))+b(t)g(t,u(t),u'(t)),\q 0<t<1,\\ &u(0)=u(1)=0,\\ &\alpha u'(0)-\beta u''(0)=0,\q \gamma u'(1)+\delta u''(1)=0. \endaligned\right.$$The existence of positive solutions is obtained by employing the fixed-point theorem of cone expansion and compression type under the condition that $f$ and $g$ satisfy the limit condition which is more extensive than the existing superlinear and sublinear condition. The obtained results generalize and include some known results.
%K Singular boundary value problem
%K cone
%K positive solutions<br>奇异边值问题
%K 锥
%K 正解
%K 四阶
%K 奇异边值问题
%K 正解
%K BOUNDARY
%K VALUE
%K PROBLEMS
%K SINGULAR
%K ORDER
%K SOLUTIONS
%K 存在性结果
%K 定理
%K 不动点
%K 拉伸
%K 锥压缩
%K 利用
%K 极限条件
%K 次线性条件
%K 超线性
%K 研究
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=45A5F686514254548AF2E262571034FD&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=94C357A881DFC066&sid=1A0C7C60D40EFD74&eid=D9D6C3CD78BED2C5&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=10