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Algebra i Analiz, 2010, Volume 22, Issue 2, Pages 1–13 (Mi aa1176)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

To the theory of infinitely differentiable semigroups of operators

M. S. Bichegkuev

North-Ossetia State University, Vladikavkaz, Russia
Full-text PDF (611 kB) Citations (6)
References:
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Abstract: Given a linear relation (multivalued linear operator) with certain growth restrictions on the resolvent, an infinitely differentiable semigroup of operators is constructed. It is shown that the initial linear relation is a generator of this semigroup. The results obtained are intimately related to certain results in the monograph “Functional analysis and semi-groups” by Hille and Phillips.
Keywords: linear relation, infinitely differentiable semigroup of operators, generator of a semigroup, resolvent set.
Received: 06.04.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 2, Pages 175–182
DOI: https://doi.org/10.1090/S1061-0022-2011-01137-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. S. Bichegkuev, “To the theory of infinitely differentiable semigroups of operators”, Algebra i Analiz, 22:2 (2010), 1–13; St. Petersburg Math. J., 22:2 (2011), 175–182
Citation in format AMSBIB
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\pages 175--182
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Linking options:
  • https://www.mathnet.ru/eng/aa1176
  • https://www.mathnet.ru/eng/aa/v22/i2/p1
    • This publication is cited in the following 6 articles:
    1. Marko Kostic, “Abstract degenerate Volterra inclusions in locally convex spaces”, ejde, 2023:01-?? (2023), 63  crossref
    2. M. S. Bichegkuev, “Almost periodic at infinity solutions to integro-differential equations with non-invertible operator at derivative”, Ufa Math. J., 12:1 (2020), 3–12  mathnet  crossref  isi
    3. A. V. Pechkurov, “An Example in the Theory of Bisectorial Operators”, Math. Notes, 97:2 (2015), 243–248  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. M. S. Bichegkuev, “Spectral analysis of difference and differential operators in weighted spaces”, Sb. Math., 204:11 (2013), 1549–1564  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. A. G. Chshiev, “O polugruppe operatorov Silchenko”, Vladikavk. matem. zhurn., 15:4 (2013), 82–90  mathnet
    6. A. V. Pechkurov, “Bisectorial operator pencils and the problem of bounded solutions”, Russian Math. (Iz. VUZ), 56:3 (2012), 26–35  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:549
    Full-text PDF :136
    References:75
    First page:15
     
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