无穷区间上二阶微分方程无穷多点边值问题的正解存在性

Existence of Positive Solutions for Boundary Value Problems with Infinite Points of Second Order Differential Equations on the Infinite Interval

利用Schauder不动点等定理,研究无穷区间上二阶微分方程无穷多点边值问题,得出了所考虑边值问题正解的存在性、唯一性及迭代序列,此外还进行了举例应用.

This paper investigates the existence of positive solutions for second order differential equations with infinite points boundary value problems on the infinite interval. By using the Schauder fixed point theorem, the existence and uniqueness of the positive solutions for the equations are proved. Finally, an example is given to show the main results.