不动点定理在微分方程中的应用

Application of the Fixed Point Theorem in Differential Equations

文章主要是利用Banach不动点定理来简化了Picard定理的证明,并且利用Leray-Schauder不动点定理说明了不动点定理在微分方程中的应用。

The proof of Picard theorem is simplified by using Bartach fixed point theorem,and some applications of fixed point theorem in differential equations are demonstrated by using Leray-Schauder fixed point theorem.