摘要
讨论了三阶常微分方程边值问题解的存在性,其中f(t,u):[0,1]×R+→R+为连续函数.在满足一些增长性条件的情形下,用指数不动点理论获得了正解的存在性结果.
This paper discusses the existence of solutions of third-order boundary value problem {-u″＇（t）=f（t,u）,0〈t〈1, u（0）=u＇（0）=u＇（1）=0, where is continuous. When satisfies some growth conditions,the author obtains the existence of positive solutions, the proof is based on the fixed point index theory in cones.
出处
《甘肃高师学报》
2007年第2期7-9,共3页
Journal of Gansu Normal Colleges
关键词
三阶边值问题
正解
不动点指数
Third-order boundary value problem
Positive solution
Fixed point index.
