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Sbornik: Mathematics, 2002, Volume 193, Issue 2, Pages 187–203
DOI: https://doi.org/10.1070/SM2002v193n02ABEH000626 (Mi sm626) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Approximation of differential inclusions

A. I. Bulgakova, V. V. Skomorokhovb

a Tambov State University
b Tambov State Technical University
English version PDF (224 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM2002v193n02ABEH000626
Abstract: Methods for the approximation of a differential inclusion with right-hand side satisfying the Carathéodory conditions are considered. Necessary and sufficient conditions are obtained for the stability of the approximation of a differential inclusion under internal and external perturbations, which means that “small” changes (in the sense of the Hausdorff distance) of the right-hand side of the inclusion result in a “small” change of the solution set.
Received: 31.01.2001
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 2, Pages 35–52
DOI: https://doi.org/10.4213/sm626
Bibliographic databases:
UDC: 517.911
MSC: 34A60, 34D09
Language: English
Original paper language: Russian
Citation: A. I. Bulgakov, V. V. Skomorokhov, “Approximation of differential inclusions”, Mat. Sb., 193:2 (2002), 35–52; Sb. Math., 193:2 (2002), 187–203
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:65
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