带积分边界条件的三阶边值问题的解的存在性

Existence of solution of third-order boundary value problem with integral boundary conditions

运用Shauder不动点定理,建立了一类带积分边界条件的三阶边值问题的解与正解的存在性准则。最后,一个简单的例子说明了本文的主要结果。

By applying the Schauder fixed point theorem, the existence criteria of solution and positive solution are established of a class third-order boundary value problem with integral boundary conditions. An example is also included to illustrate the importance of the results obtained.