摘要
应用Leggett-Williams不动点理论,研究了一类四阶方程边值问题u(4)(t)=f(t,u(t))(0≤t≤1),u′(1)=u″(1)=u(1)=0,ku(0)=u(0),证明了其三个正解的存在性.
In this paper, we prove the existence of three positive solutions for a class of fourth-order equations with boundary conditions by using Leggett-Williams fixed point theorem.
出处
《淮阴师范学院学报（自然科学版）》
CAS
2007年第1期6-9,35,共5页
Journal of Huaiyin Teachers College;Natural Science Edition
基金
江苏省教育厅自然科学基金资助项目(06KJB110010)
关键词
四阶方程
边值问题
正解
不动点理论
fourth order equation
boundary conditions
positive solution
fixed point theorem
