摘要
应用Green函数证明了一类二阶常微分方程边值问题解的存在惟一性。由Green函数把此方程的边值问题转化为等价的积分方程,继而应用压缩映射不动点定理证明了解的存在惟一性。
The existence and uniqueness of the boundary value solution for a kind of second order ordinary differential equation with Green function method are discussed here.With the Green function,we equalize the boundary value problem to the integral equation,and prove the existence and uniqueness of the solution by means of compression mapping fixed point theorem.
出处
《长春工业大学学报》
CAS
2011年第1期102-104,共3页
Journal of Changchun University of Technology
关键词
二阶边值问题
格林函数
惟一解
boundary value problem second order
Green function
uniqueness existence.