| 二阶时滞微分方程边值问题的正解 |
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| 引用本文： | 蒋达清,张丽莉. 二阶时滞微分方程边值问题的正解[J]. 数学学报, 2003, 46(4): 739-746. DOI: cnki:ISSN:0583-1431.0.2003-04-015 |
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| 作者姓名： | 蒋达清 张丽莉 |
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| 作者单位： | 东北师范大学数学系,长春,130024 |
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| 基金项目： | 国家自然科学基金(10171010) |
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| 摘 要： | 本文利用锥映射不动点指数定理研究了二阶时滞微分方程边值问题正解的存在性,其中τ>0.推广了Liu和Li关于常微分方程边值问题的工作.
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| 关 键 词： | 时滞微分方程 边值问题 正解 |
| 文章编号： | 0583-1431(2003)04-0739-08 |
| 修稿时间： | 2000-05-17 |
Positive Solutions for Boundary Value Problems of Second-Order Delay Differential Equations |
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| Da Qing JIANG Li Li ZHANG. Positive Solutions for Boundary Value Problems of Second-Order Delay Differential Equations[J]. Acta Mathematica Sinica, 2003, 46(4): 739-746. DOI: cnki:ISSN:0583-1431.0.2003-04-015 |
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| Authors: | Da Qing JIANG Li Li ZHANG |
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| Affiliation: | Da Qing JIANG Li Li ZHANG (Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China) |
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| Abstract: | We use a fixed point index theorem in cones to study the existence of positive solutions for boundary value problem of the second-order delay differential equation of the form where T > 0. The result here is a generalization of what Liu and Li did for ordinary differential equations. |
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| Keywords: | Delay differential equation Boundary value problem Positive solution |
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