| Gronwall不等式的推广及应用 |
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| 引用本文： | 李海春,刘召梅,沈亮.Gronwall不等式的推广及应用[J].保山学院学报,2010(2):55-56. |
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| 作者姓名： | 李海春 刘召梅 沈亮 |
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| 作者单位： | 内江师范学院数学与信息科学学院 |
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| 基金项目： | 内江师范学院大学生科学研究(09NSD-180) |
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| 摘 要： | 在微分方程,解析函数等课程的学习中,经常用Gronwall不等式来证明方程逐次近似解的收敛性,有界性和唯一性。将Gronwall不等式推广到n维向量空间,并应用推广定理证明微分方程组解的唯一性。
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| 关 键 词： | Gronwall不等式 n维向量空间 解的唯一性 |
The Generlization and application of Gronwall Inequality |
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| Li Hai-chun Liu Zhao-mei Shen Liang.The Generlization and application of Gronwall Inequality[J].Journal of Baoshan Teachers College,2010(2):55-56. |
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| Authors: | Li Hai-chun Liu Zhao-mei Shen Liang |
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| Institution: | Li Hai-chun Liu Zhao-mei Shen Liang(School of Mathematics & Information Science,NeiJiang Normal University,Neijiang,Sichuan,641112,China) |
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| Abstract: | On studying differential equations,analytic functions and such courses,single variable Gronwall inequality is used to prove the convergence of successive approximation solutions,boundedness and uniqueness of solution.In the paper,Gronwall inequality will be extended to n-dimensional vector space.The uniqueness of the differential equation group solutions is proved by it. |
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| Keywords: | Gronwall inequality n-dimensional vector space uniqueness of solution |
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