| 无穷维空间中非凸微分包含的生存构造及应用 |
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| 引用本文： | 王东,杨富春.无穷维空间中非凸微分包含的生存构造及应用[J].数学学报,1999,42(4):699-704. |
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| 作者姓名： | 王东 杨富春 |
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| 作者单位： | 1. 南开数学研究所,天津,300071
2. 云南大学数学系,昆明,650091 |
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| 摘 要： | 本文在一般的Banach空间中研究非凸微分包含的生存问题．我们首先构造出了上述非凸微分包含的一个生存集．然后给出了所构造的生存集的两个应用．
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| 关 键 词： | 集值映射 生存集 非凸微分包含 切锥 |
| 修稿时间： | :1997-12-1 |
A Viability Construction and Its Applications for Nonconvex Differential Inclusions in Infinite Dimensional Space |
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| Wang Dong,Yang Fuchun.A Viability Construction and Its Applications for Nonconvex Differential Inclusions in Infinite Dimensional Space[J].Acta Mathematica Sinica,1999,42(4):699-704. |
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| Authors: | Wang Dong Yang Fuchun |
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| Institution: | Wang Dong (Nankai Institute of Mathematics, Tianjin 300071, P. R. China)Yang Fuchun(Department of Mathematics, Yunnan University, Kunming 650091, P. R. China) |
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| Abstract: | In this paper, we study viability problems of nonconvex differential inclusions in Banach space. We first construct a viability set for the nonconvex differentialinclusions. Then, we provide two applications for the constructed viability set. |
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| Keywords: | Set-valued map Viability set Nonconvex differential inclusions Tangentcone |
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