通过构造特殊的锥并利用锥中的Krasnosel’skii-Zabreiko不动点定理,该文研究了含有两个参数的四阶微分方程广义Sturm-Liouville边值问题正解的存在性,推广和改进了一些已知的结果.
This paper deals with the existence of positive solutions to fourth order nonlocal boundary value problems with two parameters. The proofs are based on a specially constructed cone and a fixed point theorem in a cone for a completely continuous operator, due to Kras- nosel'skii and Zabreiko. The results extend and improve some known results.