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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 9, Pages 44–51 (Mi ivm7929)  
This article is cited in 8 scientific papers (total in 8 papers)

On measure-compact operators

N. A. Erzakova

Chair of Applied Mathematics, Moscow State Technical University of Civil Aviation, Moscow, Russia
Full-text PDF (187 kB) Citations (8)
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Abstract: We obtain new sufficient solvability conditions for equations with measure-compact operators congruous with partially additive ones. We also prove new conditions under which these operators belong to the class of locally condensing maps with respect to the Hausdorff measure of non-compactness. As an application of the results we prove one property of bifurcation points which occur, in particular, in nonlinear mechanics.
Keywords: regular spaces, partially additive operators, measure of non-equipotential absolute continuity, condensing maps, Hausdorff measure of non-compactness, Uryson operator, Hammerstein operator, Lorentz spaces, Orlicz spaces, Lebesgue spaces.
Received: 06.07.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 9, Pages 37–42
DOI: https://doi.org/10.3103/S1066369X11090052
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: N. A. Erzakova, “On measure-compact operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 44–51; Russian Math. (Iz. VUZ), 55:9 (2011), 37–42
Citation in format AMSBIB
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\by N.~A.~Erzakova
\paper On measure-compact operators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 9
\pages 44--51
\mathnet{http://mi.mathnet.ru/ivm7929}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931774}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 9
\pages 37--42
\crossref{https://doi.org/10.3103/S1066369X11090052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80055075814}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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