集值有界变差函数的单值表示

SINGLE-VALUED REPRESENTATION OF SET-VALUED FUNCTION OF BOUNDED VARIATION

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摘要给出了集值有界变差函数的单值表示定理.

作者刘成仁

机构地区大庆石油学院数学系

出处《南京大学学报（数学半年刊）》 CAS 2002年第1期43-46,共4页 Journal of Nanjing University(Mathematical Biquarterly)

关键词单值表示集值有界变差函数集值函数

参考文献5

1Ekelad I and Valedier M. Reperesentation of Set-Valued Mappings. J. Math. Anal. Appl., 1971, 35: 621-629.
2Ioff A D. Reresentation Theorems for Multifunctions and Analytic Sets. Bull, Amer. Math. Soc. , 1978, 84: 143-144.
3Ioff A D. Single-Valued Repesentation of Set-Valued Mapping Ⅱ. Application to Differential In cluslons. SIAM, J. Control and Opti., 1983, 21: 641-651.
4Zhu Q J. Single-Valued Representation of Absolute Continuous Multifunction. Chinese Science Bulletin (in Chinese), 1985, 30(18): 1373-1375.
5Xia T X and Yah S Z. Real Variable Function and Application of Functional Analysis. Shanghai Seience and Technical Publish Company. 1987, 87(in Chinese).

南京大学学报（数学半年刊）

2002年第1期

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