摘要
利用上下解方法 ,分别讨论了当f∶[0 ,1 ]×R→R在有限区间和无限区间上满足某些增长性条件时 ,三阶微分方程边值问题u (t) +f(t,u) =0 ,u(0 ) =u(1 ) =u″(0 ) =0解与正解的存在性 .
Upper and lower solutions method is used to establish some existence results of solution and positive solution to the following third order boundary value problem u(t)+f(t,u)=0(0≤t≤1),u(0)=u(1)=u″(0)=0,where f satisfies some growth conditions on finite interval and infinite interval respectively.Two simple examples are presented to illustrate the applications of the obtained results.
出处
《应用数学》
CSCD
北大核心
2003年第3期108-111,共4页
Mathematica Applicata
基金
国家自然科学基金资助项目 (6 9972 0 36 )
陕西省自然科学研究资助项目 (2 0 0 0SL0 3)
关键词
边值问题
解
存在性
常微分方程
韧值问题
不动点
上下解方法
Third order bourdary value problem
Solution
Positive solution
Upper and lower solutions method
