摘要
证明了含两点边值问题的一类二阶非线性常微分方程 y″+axmyn=0 ,y(0 ) =y(1 ) =0的正解的存在性和唯一性 .同时 ,还对相应的柯西问题 y″=-axmyn ,y(0 ) =0 ,y′(0 ) =s进行了讨论 ,证明了其非负解在区间 [0 ,h(s) ]上存在唯一 。
In this paper,it is proved that the existence and uniqueness of the positive solution for the second order nonlinear ordinary differential equation with two point boundary value problem y″+ax my n, y(0)=y(1)=0. At the same time studies the Cauchy problem y″=-ax my n,y(0)=0,y′(0)=s, it is proved that its nonnegative solution in the interval is existence and uniqueness, and its value of the solution in the end points of the interval is zero.
出处
《武汉理工大学学报（交通科学与工程版）》
北大核心
2002年第2期240-242,共3页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
