| Gronwall不等式的几个推广及其在微分方程中的应用 |
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| 引用本文： | 郑丽芳,吴珍莺.Gronwall不等式的几个推广及其在微分方程中的应用[J].莆田学院学报,2007,14(2):24-28. |
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| 作者姓名： | 郑丽芳 吴珍莺 |
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| 作者单位： | 1. 莆田一中,福建,莆田,351100
2. 莆田学院,数学与应用数学系,福建,莆田,351100 |
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| 摘 要： | 对经典的Gronwall不等式进行了推广,得到了Bihari型、带奇性型的Gronwall不等式和一种多维空间中Gronwall型不等式,并用实例说明了各种类型的Gronwall不等式在获得微分方程解的一些基本估计中的作用。
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| 关 键 词： | Gronwall不等式 奇性 微分方程 估计 |
| 文章编号： | 1672-4143(2007)02-0024-05 |
| 修稿时间： | 2007-03-12 |
Some Generalized Gronwall's Inequalities and Their Application in Diferential Equations |
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| ZHENG Li-fang,WU Zhen-ying.Some Generalized Gronwall''''s Inequalities and Their Application in Diferential Equations[J].journal of putian university,2007,14(2):24-28. |
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| Authors: | ZHENG Li-fang WU Zhen-ying |
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| Abstract: | It is well-known that the inequality of Gronwall's type may be important to estimate for the solutions of various differential equations.We intend to get some generalizations of this type of inequality such as Bihari's inequality,Gronwall's inequality with singularity and Gronwall's inequality in several variables space.We also cite some examples in illustration of its application. |
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| Keywords: | Gronwall's inequality singularity differential equations estimate |
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