二阶常微分方程边值问题的格林函数求法  

Green function method for solving the boundary value problems in a kind of second order ordinary differential equation

作　　者：刘丽环[1] 常晶[1] 高艳超[1] 

机构地区：[1]空军航空大学基础部,吉林长春130022

出　　处：《长春工业大学学报》2011年第1期102-104,共3页Journal of Changchun University of Technology

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.

关 键 词：二阶边值问题 格林函数 惟一解 

分 类 号：O175[理学—数学]