| Banach空间中微分方程解的整体存在性定理 |
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| 引用本文： | 张寄洲. Banach空间中微分方程解的整体存在性定理[J]. 湖北大学学报(自然科学版), 1989, 11(1): 23-29,34 |
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| 作者姓名： | 张寄洲 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： | 本文利用比较方法和Kamke函数研究Banach空间中微分方程解的整体存在性,得出了相当普遍的一般性判别准则.作为特例,本文的结果包含了文[4]中的主要定理.
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| 关 键 词： | Banach空间 Kamke函数 整体解 |
THE GLOBAL EXISTENCE THEOREM OF SOLUTIONS FOR DIFFERENTIAL EQUATION IN BANACH SPACE |
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| Zhang Jizhou. THE GLOBAL EXISTENCE THEOREM OF SOLUTIONS FOR DIFFERENTIAL EQUATION IN BANACH SPACE[J]. Journal of Hubei University(Natural Science Edition), 1989, 11(1): 23-29,34 |
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| Authors: | Zhang Jizhou |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper we use the comparison method and Kamke function to study the left and right-hand global existenc of solutions for differential equations in Banach space.General criterions for the global existenc are given. one of them includes the main result derived by v. Lakshmi-kantham and G. E. Ladas ([4], 1972) as a special case. |
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| Keywords: | Banach space Kamke function Global solution Right (Left)-hand maximal solution. |
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