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

作　　者：王媛[1] 

机构地区：[1]西北师范大学数学与信息科学学院,兰州730070

出　　处：《应用泛函分析学报》2010年第3期245-248,共4页Acta Analysis Functionalis Applicata

摘　　要：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.

关 键 词：存在性 LERAY-SCHAUDER原理 多点初值问题 

分 类 号：O175.8[理学—数学]