摘要
讨论有序Banach空间E中非线性四阶边值问题{u(4)(t)=f(t,u(t),u″(t))(0≤t≤1),u(0)=u(1)=u″(0)=u″(1)={θ正解的存在性,其中f:[0,1]×E×E→E连续.在较一般的非紧性测度条件与序条件下运用凝聚映射的不动点指数理论获得了该问题正解的存在性.
The existence of positive solutions for nonlinear fourth order boundary value problem {u（4）（t）=f（t,u（t）,u＂（t））（0≤t≤1）,u（0）=u（1）=u＂（O）=u＂（1）=θ in an ordered Banach space E is discussed, where f：[0,1]×E×E→E is continuous. Under more general conditions of noncompactness measure and semi - ordering, an existence result of positive solutions is obtained by employing the fixed point index theory of condensing mapping.
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2013年第2期28-31,共4页
Journal of South China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(10871160
11061031)
关键词
Banach空间边值问题
闭凸锥
凝聚映射
不动点指数
正解
boundary value problem in Banach space
close convex cone
condensing mapping
fixed point index
positive solution
