【摘要】 得到了如下(n-1,1)共轭型边值问题正解的存在性. u(n+m2u+f(x,u))=0,0<x<1, u(k)(0)=u(1)=0, 0≤k≤n-2.这一结论是通过计算出与此边值问题相关的Green函数的具体形式进而使用锥拉伸与压缩不动点定理建立的.更多还原

【Abstract】 Positive solutions for (n-1, n) conjugate boundary value problemsu(n)+m2u+f(x, u)=0, 0<x<1,u(k)(0)=u(1)=0, 0<k<n-2.are considered by using the cone’s fixed theorem. The form of the Green’s functions which conforming with the conjugate boundary value problems is computed explicitly.更多还原