海军航空工程学院学报Issue(2)：181-183,186,4.DOI:10.7682/j.issn.1673-1522.2015.02.019
Banach空间中的常微分方程边值问题的拟上下解方法
Method of Quasi-Upper and Lower Solutions to Boundary Value Problem of Ordinary Differential Equations in Banach Space
刘孝磊 1马翠玲 1郝树艳 1孙玺菁1
作者信息
- 1. 海军航空工程学院基础部，山东烟台264001
- 折叠
摘要
Abstract
The existence of quasi solution for the boundary value problem of one-order nonlinear ordinary differential equa⁃tion u′(t)=f (t,u(t)) , u(0)-u(T)=x1,x1≥0 was studied by making use of the quasi upper-lower solution method. And the operator was constructed by the solution of the linear differential equation. Furthermore, the monotone iteration se⁃quences were gotten, and finally the maximum-minimum quasi-solution pair was obtained.关键词
边值问题/拟上下解/单调迭代Key words
boundary value problem/quasi-upper and lower solution/monotone iteration分类
数学引用本文复制引用
刘孝磊,马翠玲,郝树艳,孙玺菁..Banach空间中的常微分方程边值问题的拟上下解方法[J].海军航空工程学院学报,2015,(2):181-183,186,4.
