| 一类Gronwall-Bellman型不等式的统一证明及其推广 |
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| 引用本文： | 周文学,褚衍东. 一类Gronwall-Bellman型不等式的统一证明及其推广[J]. 兰州交通大学学报, 2005, 24(6): 144-145 |
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| 作者姓名： | 周文学 褚衍东 |
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| 作者单位： | 兰州交通大学数理与软件工程学院数学系,甘肃兰州730070 |
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| 摘 要： | 借助一个比较定理,通过解普通的常微分方程,对一类Gronwall-Bellman型不等式及其推广进行了统一证明,并将其进一步推广.
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| 关 键 词： | 比较定理 常微分方程 Gronwall-Bellman型不等式 |
| 文章编号： | 1001-4373(2005)06-0144-02 |
| 收稿时间： | 2005-09-24 |
| 修稿时间： | 2005-09-24 |
A Unifying Proof and Extension of a Kind of Inequations of Gronwall-Bellman Type |
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| Zhou Wenxue,Chu YanDong. A Unifying Proof and Extension of a Kind of Inequations of Gronwall-Bellman Type[J]. Journal of Lanzhou Jiaotong University, 2005, 24(6): 144-145 |
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| Authors: | Zhou Wenxue Chu YanDong |
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| Affiliation: | School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China |
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| Abstract: | Unifying proof and extension of a kind of inequations of Gronwall-Bellman type are given by way of an ordinary comparison theorem and by solving ordinary differential equations. |
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| Keywords: | comparison theorem ordinary differential equations Gronwall-Bellman inequations |
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