| Gronwall不等式的推广及其应用 |
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| 引用本文： | 操和友,杨孟,谢胜利. Gronwall不等式的推广及其应用[J]. 安徽建筑工业学院学报, 2008, 16(5): 78-80 |
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| 作者姓名： | 操和友 杨孟 谢胜利 |
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| 作者单位： | 安徽建筑工业学院数理系,合肥230601 |
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| 摘 要： | 将经典的Gronwall不等式从有界闭区间推广到无穷区间上，用其推广的结果研究Banach空间一阶非线性微分方程终值问题解的存在性。
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| 关 键 词： | Gronwall不等式 不动点定理 终值问题 非紧性测度 |
The generalization and application of gronwall inequality |
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| CAO He-you,YANG Meng,XIE Sheng-li. The generalization and application of gronwall inequality[J]. Journal of Anhui Institute of Architecture(Natural Science), 2008, 16(5): 78-80 |
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| Authors: | CAO He-you YANG Meng XIE Sheng-li |
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| Affiliation: | (Department of mathematics ＆ physics, Anhui University of Architecture, Hefei 230601,China) |
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| Abstract: | In this paper,we promote the bounded closed interval to Infinite interval for the classic Gronwall inequality, and we research the existence of the teminial value problems of the first order nonlinear differential equations in Banach space by means of the results of the promotion. |
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| Keywords: | gronwall inequality fixed point theorem terminal value problem noncompact type measure |
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