带变号Green函数的三阶三点边值问题的正解

Positive solutions for a third-order three-point boundary value problem with sign-changing Green′s function

运用Guo-Krasnoselskii不动点定理,在相应的Green函数变号的情况下,建立了三阶常微分方程三点边值问题至少存在两个正解的若干存在性准则.

By using the Guo-Krasnoselskii fixed-point theorem, some existence criteria of at least two positive solutions axe established for a three-point boundary value problem of third-order ordinary differential equation under the condition that the corresponding Green＇s function is sign-changing.