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| 一阶常微分方程无穷点边值问题的上下解方法 | |
| 引用本文： | 闫东明.一阶常微分方程无穷点边值问题的上下解方法[J].甘肃科学学报,2008,20(3):11-13. |
| 作者姓名： | 闫东明 |
| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
| 基金项目： | 西北师范大学科教创新工程项目 |
| 摘 要： | 建立一阶常微分方程无穷点边值问题
{x′（t）=f（t,x（t））,a.e.t∈0,T],
x（0）＋∑^∞ k=1 akx（tk））=c0
的上下解方法. |
| 关 键 词： | 无穷点边值问题 上下解方法 存在性 |
The Lower and Upper Solution Method of Infinite-many Point Boundary Value Problem of the First-order Ordinary Differential Equations |
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| YAN Dong-ming.The Lower and Upper Solution Method of Infinite-many Point Boundary Value Problem of the First-order Ordinary Differential Equations[J].Journal of Gansu Sciences,2008,20(3):11-13. | |
| Authors: | YAN Dong-ming |
| Institution: | College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China |
| Abstract: | The method of lower and upper solutions is established for the infinite-many point boundary value problem of the first-order ordinary differential equation {x′（t）=f（t,x（t））,a.e.t∈0,T], x（0）＋∑^∞ k=1 akx（tk））=c0. |
| Keywords: | infinite-many point boundary value problem the method of lower and upper solutions existence |
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