中文摘要：

本文研究了二阶和四阶常微分方程耦合系统 正解的存在性，其中λ〉0为参数，f，g∈C（[0，1]×[0,∞），R）．当f，g满足适当的条件时，本文证明了λ充分大时方程一个正解的存在性．主要结果的证明基于Schauder不动点定理．

英文摘要：

In this paper, we are concerned with the existence of positive solutions of a coupled system of second-order and fourth-order ordinary differential equation where λ is a positive parameter, f,g∈C（[0,1]×[0,∞）,R）. We obain the existence of a large positive solution under suitable assumptions on f and g. The proof is based upon the Schauder＇s fixed point theorem.