摘要
本文首先讨论了三阶常微分方程两点边值问题的格林函数及其偏导数的符号,其次用三种不同方法定义压缩映射,解决了六种两点边值问题解的存在性和唯一性问题。
This paper discusses respectively Green's function for the associated boundary value problem of third order differential equations to define a contraction mapping and an alternative procedure where the contr- action mapping is dependent of the Green's function.These two methods all present conditions for the existence and u(?)queness of solutions of certain two-Point boundary value problems for third order differential equations.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
1989年第3期21-28,共8页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
三阶
常微分方程
边值问题
Grcen's funetion
weight funetions
a Contraction mapping theorem
