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.
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
\Bibitem{Bul90}
\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
\mathnet{http://mi.mathnet.ru/eng/sm1233}
\crossref{https://doi.org/10.1070/SM1992v071n02ABEH001398}
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\zmath{https://zbmath.org/?q=an:0776.34011|0718.34020}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..71..273B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992HU58600001}
Linking options:
https://www.mathnet.ru/eng/sm1233
https://doi.org/10.1070/SM1992v071n02ABEH001398
https://www.mathnet.ru/eng/sm/v181/i11/p1427
This publication is cited in the following 2 articles:
A. I. Bulgakov, O. P. Belyaeva, A. A. Grigorenko, “On the theory of perturbed inclusions and its applications”, Sb. Math., 196:10 (2005), 1421–1472
A. I. Bulgakov, “Integral inclusions with nonconvex images, and their applications to boundary value problems for differential inclusions”, Russian Acad. Sci. Sb. Math., 77:1 (1994), 193–212
Citation in format AMSBIB
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