研究一类非线性奇异二阶m点边值问题解的唯一性.利用二阶两点边值问题的格林函数得到二阶m点边值问题的格林函数,运用迭代法给出非线性奇异二阶m点边值问题存在唯一解的若干充分条件.
The uniqueness of solution for a class of nonlinear singular second-order m-point boundary-value problem was studied. The Green's function for second-order m-point boundary-value problem was obtained by using that for second-order two-point boundary-value problem. Some sufficient conditions for the existence of unique solution for the nonlinear singular second-order m-point boundary-value problem were given by using iterative method.