奇异二阶m点边值问题解的唯一性  

Uniqueness of solution of singular second-order m-point boundary-value problem

作　　者：孙建平[1] 唐婉莹[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2009年第3期139-141,共3页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10801068);甘肃省自然科学基金(2007GS05333)

摘　　要：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.

关 键 词：格林函数 二阶M点边值问题 解 唯一性 

分 类 号：O75[理学—晶体学]