中文摘要：

研究一类四阶奇异非线性积分边值问题正解的存在性问题．利用锥压缩锥拉伸不动点定理及一些分析技巧，建立该边值问题存在一个及多个正解的一些新结果．所得结果推广并改进了先前的相关结果．

英文摘要：

We study the problem on the existence of positive solutions for a class of fourth-order singular nonlinear integral boundary value problem. By employing the fixed point theorem in cones and some analytical skills, we obtain some new results on the existence of one or multiple positive solutions for the boundary value problems. Our results extend and improve some previous results.