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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) Russian version article
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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
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”, Math. USSR-Sb., 71:2 (1992), 273–287
Citation in format AMSBIB
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\by A.~I.~Bulgakov
\paper Continuous branches of multivalued mappings and functional-differential inclusions with nonconvex right-hand side
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 2
\pages 273--287
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..71..273B}
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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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