具p-Laplace算子微分方程多点边值问题正解的存在性

Existence of Positive Solution for Multi-point Boundary Value Problem with p-Laplacian with Sign Changing Nonlinearity

利用双锥上不动点定理,本文研究一类具变号非线性项p-Laplacian算子二阶微分方程m点边值问题正解的存在性,得到了问题至少两个正解存在的充分条件.

By using the fixed point theorem in double cones,a kind of multi-point boundary value problem with p-Laplacian with sign changing nonlinearity is considered and the sufficient cond-itions ensured the existence of positive solutions of the problem were established.