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一类微分包含的多解存在性定理
引用本文:张福保.一类微分包含的多解存在性定理[J].徐州师范大学学报(自然科学版),1994(4).
作者姓名:张福保
摘    要:为获得一类微分包含的多解存在性定理,应用集值映象的不动点指数理论,给出了一集值的不动点定理,并举例说明了所得结果的应用。

关 键 词:集值映象的不动点指数,微分包含,可测选择

EXISTENCE THEOREMS OF MULTIPLE SOLUTIONS FOR A CLASS OF DIFFERENTIAL INCLUSION
Zhang Fubao.EXISTENCE THEOREMS OF MULTIPLE SOLUTIONS FOR A CLASS OF DIFFERENTIAL INCLUSION[J].Journal of Xuzhou Normal University(Natural Science Edition),1994(4).
Authors:Zhang Fubao
Institution:Zhang Fubao
Abstract:In order to obtain some existence theorems for multiple solutions of a class of differential inclusion,the fixed point index for set-valued mappings is applied to generalize a fixed point theorem for completely continuous(single-valued) mapping to the set-valued case. The results are illustrated with an example.
Keywords:Fixed point index for set-valued mappings  Differential inclusion  Measurable selection
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