运用Guo—Krasnoselskii不动点定理研究了带积分边界条件的奇异三阶非局部边值问题,在非线性项满足适当的条件下建立了关于参数的区间,得到了边值问题至少存在一个或两个单调正解的若干存在性结果.
In this paper, .we are concerned with the following singular third-order nonlocal boundary value problem with integral boundary condition. Under various assumptions on nonlinear terms,we establish intervals of a parameter which yield the existence of at least one, two monotone positive solutions of the boundary value problem by applying the well- known Guo-Krasnoselskii's fixed point theorem.