By using fixed-point theorem in cones and analysis method, we study exis-tence of positive solutions for a class of singular initial value problem.THe results are better than our main literature [1].

• 本文采用锥上不动点存在性理论和一种分析方法，解决了一类奇性初值问题的正解存在性问题，条件要比主要参考文献[1]简单得多.