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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 7, Pages 3–14 (Mi ivm8907)  
This article is cited in 15 scientific papers (total in 15 papers)

Slowly varying on infinity semigroups of operators

A. G. Baskakov, N. S. Kaluzhina, D. M. Polyakov

Chair of Mathematical Methods of Operational Research, Voronezh State University, 1 Universitetskaya sq., Voronezh, 394006 Russia
Full-text PDF (229 kB) Citations (15)
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Abstract: We study the asymptotical behavior of bounded semigroups of linear operators in Banach spaces. The results are tightly connected with research of stabilisation of solutions of parabolic equations when time tends to infinity. The traditional condition of existence of an average of initial functions is not required.
Keywords: slowly varying functions, semigroups of linear operators, Beurling spectrum, harmonic analysis.
Received: 19.12.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 7, Pages 1–10
DOI: https://doi.org/10.3103/S1066369X14070019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Baskakov, N. S. Kaluzhina, D. M. Polyakov, “Slowly varying on infinity semigroups of operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 7, 3–14; Russian Math. (Iz. VUZ), 58:7 (2014), 1–10
Citation in format AMSBIB
\Bibitem{BasKalPol14}
\by A.~G.~Baskakov, N.~S.~Kaluzhina, D.~M.~Polyakov
\paper Slowly varying on infinity semigroups of operators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 7
\pages 3--14
\mathnet{http://mi.mathnet.ru/ivm8907}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 7
\pages 1--10
\crossref{https://doi.org/10.3103/S1066369X14070019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903726145}
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    • This publication is cited in the following 15 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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    Full-text PDF :126
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