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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 59–75 (Mi tm3231)  
On obeying constraints of asymptotic character

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
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Abstract: We consider an abstract attainability problem under constraints of asymptotic character and describe a general approach to constructing “nonsequential” attraction sets in the space of generalized elements formalized as finitely additive measures. We also study the existence and structure of an asymptotic formula universal in the range of “asymptotic constraints” and topologies of the space of generalized elements in the case when the space of ordinary solutions is not necessarily compactifiable.
Received in December 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 53–68
DOI: https://doi.org/10.1134/S0081543810040061
Bibliographic databases:
Document Type: Article
UDC: 517.972.8
Language: Russian
Citation: A. G. Chentsov, “On obeying constraints of asymptotic character”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 59–75; Proc. Steklov Inst. Math., 271 (2010), 53–68
Citation in format AMSBIB
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\pages 59--75
\publ MAIK Nauka/Interperiodica
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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