| Banach空间中微分包含解的存在性* |
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| 引用本文： | 宋福民. Banach空间中微分包含解的存在性*[J]. 应用数学和力学, 1998, 19(11): 1021-1029 |
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| 作者姓名： | 宋福民 |
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| 作者单位： | 南昌航空工业学院, 南昌 330034 |
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| 摘 要： | 本文在无穷维Banach空间中讨论微分包含解的存在性,先给出了几个普通微分包含的比较定理,讨论了近似解与解的关系,然后得到了Banach空间中微分包含解的存在性定理.
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| 关 键 词： | Banach空间微分包含集值映射存在性定理 |
| 收稿时间： | 1996-12-02 |
Existence of Solutions to Differential Inclusions in Banach Spaces |
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| Song Fumin. Existence of Solutions to Differential Inclusions in Banach Spaces[J]. Applied Mathematics and Mechanics, 1998, 19(11): 1021-1029 |
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| Authors: | Song Fumin |
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| Affiliation: | Nanchang Institute of Aeronautical Technology, Nanchang 330034, P. R. China |
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| Abstract: | In this paper, the existence of solutions to differential inclusions is discussed in infinite dimensional Banach spaces. First, some comparability theorems for common differential inclusions are posed, relations between approximate solutions and solutions are studied. In the end, the existence theorem of solutions to differential inclusions is obtained. |
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| Keywords: | Banach space differential inclusion set_valued mappings existence theorem |
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