摘要
应用锥压缩与锥拉伸不动点定理,证明了n+1阶两点非线性微分方程-u^(n+1)(t)=f(t,u(t)),0<t<1,u(0)=u(0)=L=u^(n+1)(0)=u(1)=0的正解的存在性.
The positive solutions are obtained by the fixed point theorem of cone expansion- compression for (n + 1) order twopoint nonlinear differential equation, - u^(n+ 1) (t) = f(t, u(t)), 0〈 t〈 1, u(0) =- u (0) = L = u^(n+ 1)(0) = u(1) = 0.
出处
《雁北师范学院学报》
2006年第2期7-8,共2页
Journal of Yanbei Teachers College
关键词
两点边值问题
正解
锥不动点定理
存在性
two- point boundary value problem, positive solution, fixed point theorem on cone, existenee