一类带p-Laplace算子的多点边值问题的正解

Existence of positive solutions for multi-point boundary value problem with p-Laplacian operator

研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性,应用单调迭代,给出了这类边值问题存在解的充分条件,还给出了向正解靠近的单调集。

The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method.It is proved that boundary value problem has at least one positive solution under suitable conditions.A series of solutions which converge to the terminal solution is suggested in the paper.