一类四阶超线性奇异半正方程组正解的存在性

Existence of Positive Solution for Fourth Order Superlinear Singular Semipositone Differential System

通过把所研究的问题转化为相应的全连续算子的不动点问题,利用范数形式的锥拉伸与锥压缩不动点定理得出了一类四阶超线性奇异半正方程组在两点边值条件下正解的存在性结果.

By transforming the problem of boundary value into the corresponding fixed - point problem of a completely continuous operator, the existence is obtained in the paper for two - point boundary value problem of fourth - order superlinear singular semipositone differential system via the fixed point theorem concerning cone compression and expansion in norm type.