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Mathematics of the USSR-Sbornik, 1992, Volume 71, Issue 2, Pages 273–287
DOI: https://doi.org/10.1070/SM1992v071n02ABEH001398 (Mi sm1233) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Continuous branches of multivalued mappings and functional-differential inclusions with nonconvex right-hand side

A. I. Bulgakov

Tambov Institute of Chemical Machinery
English version PDF (842 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1992v071n02ABEH001398
Abstract: It is proved that in the space of Bochner-integrable mappings a multivalued mapping with nonconvex images has a continuous branch that, for a given single-valued mapping and for a previously specified accuracy, realizes the distance between the images of the single-valued mapping and the multivalued mapping. This result is applied to the investigation of properties of solutions of functional-differential inclusions with nonconvex right-hand side.
Received: 20.10.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 11, Pages 1427–1442
Bibliographic databases:
UDC: 517.9
MSC: Primary 54C65, 34A60; Secondary 49N65
Language: English
Original paper language: Russian
Citation: A. I. Bulgakov, “Continuous branches of multivalued mappings and functional-differential inclusions with nonconvex right-hand side”, Mat. Sb., 181:11 (1990), 1427–1442; Math. USSR-Sb., 71:2 (1992), 273–287
Citation in format AMSBIB
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\paper Continuous branches of multivalued mappings and functional-differential inclusions with nonconvex right-hand side
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\yr 1990
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\issue 11
\pages 1427--1442
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\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 2
\pages 273--287
\crossref{https://doi.org/10.1070/SM1992v071n02ABEH001398}
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  • https://doi.org/10.1070/SM1992v071n02ABEH001398
  • https://www.mathnet.ru/eng/sm/v181/i11/p1427
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:396
    Russian version PDF:123
    English version PDF:13
    References:74
    First page:1
     
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