Abstract:
Extension constructions of the problem of attainability in a topological space are studied. The constructions are based on compactification of the whole space of solutions or some of its fragments.
\Bibitem{Che07}
\by A.~G.~Chentsov
\paper Extensions of abstract problems of attainability: Nonsequential version
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 2
\pages 184--217
\mathnet{http://mi.mathnet.ru/timm100}
\elib{https://elibrary.ru/item.asp?id=12040780}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 259
\issue , suppl. 2
\pages S46--S82
\crossref{https://doi.org/10.1134/S0081543807060041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38949118063}
Linking options:
https://www.mathnet.ru/eng/timm100
https://www.mathnet.ru/eng/timm/v13/i2/p184
This publication is cited in the following 21 articles:
A. G. Chentsov, “Nekotorye voprosy, svyazannye s rasshireniem zadach o dostizhimosti v klasse konechno-additivnykh mer”, Tr. IMM UrO RAN, 30, no. 3, 2024, 293–313
A. G. Chentsov, “Some Questions Related to the Extension of Reachability Problems in the Class of Finitely Additive Measures”, Proc. Steklov Inst. Math., 327:S1 (2024), S44
A. G. Chentsov, “Closed Mappings and Construction of Extension Models”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S56–S77
A. G. Chentsov, “Abstraktnaya zadacha o dostizhimosti: “chisto asimptoticheskaya” versiya”, Tr. IMM UrO RAN, 21, no. 2, 2015, 289–305
A. G. Chentsov, “Attraction sets in abstract attainability problems: equivalent representations and basic properties”, Russian Math. (Iz. VUZ), 57:11 (2013), 28–44
A. G. Chentsov, “On the question of representation of ultrafilters and their application in extension constructions”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 29–48
A. G. Chentsov, “On certain problems of the structure of ultrafilters related to extensions of abstract control problems”, Autom. Remote Control, 74:12 (2013), 2020–2036
Chentsov A.G., “Generalized limits and representations of attraction sets in problems with constraints of asymptotic character”, Dokl. Math., 85:1 (2012), 83–86
A. G. Chentsov, “Representation of attraction elements in abstract attainability problems with asymptotic constraints”, Russian Math. (Iz. VUZ), 56:10 (2012), 38–49
A. G. Chentsov, “K voprosu o strukture mnozhestv prityazheniya v topologicheskom prostranstve”, Izv. IMI UdGU, 2012, no. 1(39), 147–150
A. G. Chentsov, “Preobrazovaniya ultrafiltrov i ikh primenenie v konstruktsiyakh mnozhestv prityazheniya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 3, 85–102
A. G. Chentsov, “Yarusnye otobrazheniya i preobrazovaniya na osnove ultrafiltrov”, Tr. IMM UrO RAN, 18, no. 4, 2012, 298–314
A. G. Chentsov, “Ob odnom primere postroeniya mnozhestv prityazheniya s ispolzovaniem prostranstva Stouna”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 4, 108–124
A. G. Chentsov, “Filtry i ultrafiltry v konstruktsiyakh mnozhestv prityazheniya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2011, no. 1, 113–142
A. G. Chentsov, “One representation of the results of action of approximate solutions in a problem with constraints of asymptotic nature”, Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S48–S62
Chentsov A.G., “Ultrafilters in the constructions of attraction sets: problem of compliance to constraints of asymptotic character”, Differ. Equ., 47:7 (2011), 1059–1076
Chentsov A.G., “Elementy prityazheniya v abstraktnoi zadache o dostizhimosti s ogranicheniyami asimptoticheskogo kharaktera”, Vestnik Tambovskogo universiteta. Seriya: Estestvennye i tekhnicheskie nauki, 16:4 (2011), 1213–1219
A. G. Chentsov, Yu. V. Shapar, “Konechno-additivnye mery i rasshireniya igrovykh zadach s ogranicheniyami asimptoticheskogo kharaktera”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2010, no. 1, 89–111
A. G. Chentsov, “K voprosu o tochnom i priblizhennom soblyudenii ogranichenii v abstraktnoi zadache upravleniya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2010, no. 2, 29–48
A. G. Chentsov, “O predstavlenii maksimina v igrovoi zadache s ogranicheniyami asimptoticheskogo kharaktera”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2010, no. 3, 104–119
Citation in format AMSBIB
Contact us: