JOINT CONTINUOUS-SELECTIONS OF MULTIVALUED MAPPINGS WITH NONCONVEX VALUES, AND THEIR APPLICATIONS

被引：3
|
作者：
GONCHAROV, VV
TOLSTONOGOV, AA
机构：
[1] Irkutsk Computation Center, Siberian Branch, Academy of sciences of the USSR
来源：
MATHEMATICS OF THE USSR-SBORNIK | 1992年 / 73卷 / 02期
关键词：
D O I：
10.1070/SM1992v073n02ABEH002548
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A continuous version of a theorem of Lyapunov on convexity for measures with values in a Banach space is proved, and then used to obtain two results on the existence of a common continuous selection of finitely many multivalued mappings with values in a space of Bochner-integrable functions. These results are applied to the investigation of properties of solutions of differential inclusions with m-accretive operators.
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页码：319 / 339
页数：21
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