一类次线性Emden-Fowler方程奇异m-点边值问题的正解

Positive Solutions to Singular Boundary Value Problems of a Class of Second Order M-point Sublinear Emden-Fowler Equations

为了讨论一类Emden-Fowler方程奇异m-点边值问题正解的存在性问题,运用上下解方法、极大值原理和Schauder不动点定理,在次线性条件下,解决了这类奇异边值问题正解的存在性问题,并获得了该类边值问题存在C1[0,1]正解的充分必要条件.

In order to discuss the existence of positive solutions to Singular Boundary Value Problems of a Class of Second Order m-point Sublinear Differential Equations, the author continues the research to solve this type of problem by constructing lower and upper solutions and with the maximal theorem and schauder＇s fixed point principle. A sufficient condition for the existence of C^1 [0, 1] positive solutions is given to Singular Boundary Value Problems of a Class of Second Order m-point Sublinear Differential Equations.