摘要
运用不动点指数定理,得到了非线性项含有一阶导数的二阶四点边值问题u″+h(t)f(t,u,u′)=0,0<t<1,u(0)=αu(ζ),u(1)=βu(η)正解的存在性.
The existence of positive solutions for boundary value problem of second-order four-point boundary value problem u″+h(t)f(t,u,u′)=0,0<t<1,u(0)=αu(ζ),u(1)=βu(η) is discuirsed when the first derivative is involved in nonlinear term.Our arguments are based on the well-known fixed point index theorem.
出处
《湛江师范学院学报》
2012年第6期28-32,共5页
Journal of Zhanjiang Normal College
基金
甘肃省自然科学基金项目(3ZS042-B25-021)
甘肃省教育厅科研项目(1013B-03)
关键词
边值问题
正解
不动点定理
格林函数
boundary value problem
positive solutions
fixed point theorem
Greens function
