奇异超线性(k,n-k)多点边值问题的正解

Positive Solutions of Singular Superlinear(k,n-k) Multi-Point Boundary Value Problems

应用锥理论和不动点指数方法,在与相应的线性算子第一特征值有关的条件下,获得奇异超线性(k,n-k)多点边值问题正解的存在性结果,推广和改进了已有的主要结论.

The singular superlinear （ k, n - k） multi-point boundary value problems is considered under some conditions concerning the first eigenvalues corresponding to the relevant linear operators. The existence ef positive solutions is obtained by means of fixed point index theory. The conclusions in this paper perfect the existed results.