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Matematicheskie Zametki, 2019, Volume 106, Issue 3, paper published in the English version journal (Mi mzm12582)  
Papers published in the English version of the journal

Tolerance Spaces Revisited I: Almost Solutions

A. B. Sossinsky

Independent University of Moscow, Moscow, 119002 Russia
Abstract: The paper gives a brief review of tolerance space theory and develops its applications to finding almost solutions (i.e., functions that, substituted into the given equation, satisfy it up to a small numerical error) for equations of different types, providing existence theorems (proved by homological methods) of almost solutions for a wide variety of equations.
Keywords: tolerance space, almost solution, almost fixed point, difference scheme, homology, homotopy, Lefshetz number.
Received: 26.06.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 3, Pages 439–445
DOI: https://doi.org/10.1134/S000143461909013X
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. B. Sossinsky, “Tolerance Spaces Revisited I: Almost Solutions”, Math. Notes, 106:3 (2019), 439–445
Citation in format AMSBIB
\Bibitem{Sos19}
\by A.~B.~Sossinsky
\paper Tolerance Spaces Revisited I: Almost Solutions
\jour Math. Notes
\yr 2019
\vol 106
\issue 3
\pages 439--445
\mathnet{http://mi.mathnet.ru/mzm12582}
\crossref{https://doi.org/10.1134/S000143461909013X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4028871}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000492034300013}
\elib{https://elibrary.ru/item.asp?id=41703763}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074110246}
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