利用四阶奇异积分边值问题的Green函数,将其化为Hammerstein型积分方程,借助于Leray-Schauder二择一定理,给出了该问题非平凡解的存在性与唯一性.
This paper transforms the fourth-order singular integral boundary value problems into the Hammerstein's integral equation with its corresponding Green's function.By applying the Leray-Schauder alternative theorem,the existence and uniqueness of the nontrivial solution are obtained.