| 一阶常微分方程多点初值问题的可解性 |
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| 引用本文： | 王媛. 一阶常微分方程多点初值问题的可解性[J]. 应用泛函分析学报, 2010, 12(3): 245-248 |
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| 作者姓名： | 王媛 |
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| 作者单位： | 西北师范大学数学与信息科学学院,兰州,730070 |
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| 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,其中f是一个Caratheodory函数
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| 关 键 词： | 存在性 Leray-Schauder原理 多点初值问题 |
Existence of Solutions for Multi-point Initial Value Problem of the First Order Ordinary Differential Equation |
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| WANG Yuan. Existence of Solutions for Multi-point Initial Value Problem of the First Order Ordinary Differential Equation[J]. Acta Analysis Functionalis Applicata, 2010, 12(3): 245-248 |
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| Authors: | WANG Yuan |
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| Affiliation: | WANG Yuan (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China ) |
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| Abstract: | 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. |
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| Keywords: | existence Leray-Schauder principle multi-point initial value problem |
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