含两个参数的高阶微分方程组的正解

Positive solutions for high-order nonlinear ordinary differential systems with two parameters

利用Krasnosel'skii不动点定理,研究了一类含有两个参数的高阶非线性方程组在适当条件下的正解问题.当两个参数在适当的范围内时,得到了一个和多个正解存在性的新结果.

By using Krasnosel＇skii fixed point theorem,a kind of high-order nonlinear differential system with two parameters under suitable conditions is studied.Some new results on the existence of single and multiple positive solutions are obtained.