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Mathematics of the USSR-Sbornik, 1992, Volume 73, Issue 2, Pages 319–339
DOI: https://doi.org/10.1070/SM1992v073n02ABEH002548 (Mi sm1335) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Joint continuous selections of multivalued mappings with nonconvex values, and their applications

V. V. Goncharov, A. A. Tolstonogov

Irkutsk Computer Centre of USSR Academy of Sciences, Siberian Branch
English version PDF (1200 kB) Citations (13)
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DOI: https://doi.org/10.1070/SM1992v073n02ABEH002548
Abstract: 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.
Received: 20.11.1989
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 7, Pages 946–969
Bibliographic databases:
UDC: 517.965
MSC: Primary 47H05, 54C65; Secondary 46B22, 46G10, 54C60, 26E25, 47H06, 28B05, 28B20, 3
Language: English
Original paper language: Russian
Citation: V. V. Goncharov, A. A. Tolstonogov, “Joint continuous selections of multivalued mappings with nonconvex values, and their applications”, Mat. Sb., 182:7 (1991), 946–969; Math. USSR-Sb., 73:2 (1992), 319–339
Citation in format AMSBIB
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\issue 7
\pages 946--969
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\transl
\jour Math. USSR-Sb.
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\vol 73
\issue 2
\pages 319--339
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1991 Sbornik: Mathematics
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    Abstract page:381
    Russian version PDF:127
    English version PDF:9
    References:57
    First page:1
     
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