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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 2, Pages 225–239 (Mi timm709)  
This article is cited in 10 scientific papers (total in 10 papers)

One representation of the results of action of approximate solutions in a problem with constraints of asymptotic nature

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (232 kB) Citations (10)
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Abstract: We consider an abstract attainability problem with constraints of asymptotic nature defined in the form of a nonempty family of subsets in the space of usual solutions. Various variants of implementing asymptotic effects are considered (convergence in a topological space, cycles, and so on). A rather general method is suggested for presenting the results of action of approximate solutions; this method generalizes constructions based on sequences in the space of usual solutions.
Keywords: attraction set, net, ultrafilter.
Received: 22.11.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 276, Issue 1, Pages S48–S62
DOI: https://doi.org/10.1134/S0081543812020046
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. G. Chentsov, “One representation of the results of action of approximate solutions in a problem with constraints of asymptotic nature”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 225–239; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S48–S62
Citation in format AMSBIB
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\paper One representation of the results of action of approximate solutions in a~problem with constraints of asymptotic nature
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 17
\issue 2
\pages 225--239
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages S48--S62
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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