(n+1)阶非线性微分方程正解的存在性

Existence of Positive Solutions for a(n+1)-Order Nonlinear Differential Equations

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.