一维p-Laplacian方程组边值问题的正解存在性

Existence of Positive Solutions to the Boundary Value Problems for a Class of One-dimensional p-Laplacian Equations

应用锥拉伸锥压缩不动点定理,研究了一类带p-Laplacian算子微分方程组边值问题的正解存在性.给出了该问题正解存在的充分条件.

By using the Krasnose＇skill fixed point theorem, it is considered that the existence of positive solutions to the boundary value problems for a class of one-dimensional p-Laplacian equations. The sufficient conditions for the existence of positive solution to this kind of problem are obtained.