一阶常微分方程多点初值问题的可解性

Existence of Solutions for Multi-point Initial Value Problem of the First Order Ordinary Differential Equation

运用Leray-Schauder原理讨论一阶常微分方程多点初值问题■的可解性。

In this paper,the author use the Leray-Schauder principle to discuss the existence of solutions for multi-point initial value problem of first order ordinary differential equation {x＇（t）=f（t,x（t））, a.e.t∈{0,T] x（0）＋k=1∑^makx（tk）=c0 where f is a Caratheodory function.