| 抽象比较原理与Banach空间微分方程唯一解的整体存在性 |
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| 引用本文： | 鲁晓成,石靖华.抽象比较原理与Banach空间微分方程唯一解的整体存在性[J].湖北大学学报(自然科学版),1993,15(2):138-142. |
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| 作者姓名： | 鲁晓成 石靖华 |
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| 作者单位： | 湖北教育学院
(鲁晓成)，湖北大学(石靖华) |
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| 摘 要： | 利用抽象比较原理和类李亚普诺夫泛函将Banach空间微分方程解的整体存在性转化为某类纯量微分方程解的相应属性的判别。
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| 关 键 词： | 微分方程 巴拿赫空间 抽象比较原理 |
AN ABSTRACT COMPARISON PRINCIPLE AND GLOBAL EXISTENCE OF THE UNIQUE SOLUTION FOR DIFFERENTLAL EQUATIONS IN A BANACH SPACE |
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| Lu Xiaocheng Shi Jinghua.AN ABSTRACT COMPARISON PRINCIPLE AND GLOBAL EXISTENCE OF THE UNIQUE SOLUTION FOR DIFFERENTLAL EQUATIONS IN A BANACH SPACE[J].Journal of Hubei University(Natural Science Edition),1993,15(2):138-142. |
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| Authors: | Lu Xiaocheng Shi Jinghua |
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| Institution: | Lu Xiaocheng Shi Jinghua
(Hubei College of Education)(Hubei University) |
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| Abstract: | In this article,by means of Liapunov -like functional and the abstract comparison principle we establish a general global existence criterion for the unique solution of differential eaqations in a Banach space. |
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| Keywords: | Liapunov-like functional Comparison principle Banach space Global existence |
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