Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 131, Pages 3–109 (Mi into152)  
This article is cited in 3 scientific papers (total in 3 papers)

Integrated Semigroups and $C$-Semigroups and Their Applications

V. V. Vasil'eva, S. I. Piskarevb, N. Yu. Selivanovac

a Voronezh State University
b Lomonosov Moscow State University, Research Computing Center
c All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences
Full-text PDF (1023 kB) Citations (3)
Abstract: In this survey, some interesting generalizations of the theory of $C_0$-semigroups and their applications are presented. The survey is divided into three parts: "Integrated semigroups", "$C$-semigroups", and "Applications". Different approaches to the theory are discussed. The content presented is taken from articles of the last 20 years and also contains some results of the authors. Various applications are presented; the most of them concerns ill-posed Cauchy problems.
Keywords: semigroup, integrated semigroup, $C$-semigroup, Cauchy problem, differential equation.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 4, Pages 513–646
DOI: https://doi.org/10.1007/s10958-018-3760-x
Bibliographic databases:
Document Type: Article
UDC: 517.986.7
MSC: 47D60, 47D62, 65Y20
Language: Russian
Citation: V. V. Vasil'ev, S. I. Piskarev, N. Yu. Selivanova, “Integrated Semigroups and $C$-Semigroups and Their Applications”, Functional analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 131, VINITI, Moscow, 2017, 3–109; J. Math. Sci. (N. Y.), 230:4 (2018), 513–646
Citation in format AMSBIB
\Bibitem{VasPisSel17}
\by V.~V.~Vasil'ev, S.~I.~Piskarev, N.~Yu.~Selivanova
\paper Integrated Semigroups and $C$-Semigroups and Their Applications
\inbook Functional analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 131
\pages 3--109
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into152}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3796207}
\zmath{https://zbmath.org/?q=an:06892358}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 4
\pages 513--646
\crossref{https://doi.org/10.1007/s10958-018-3760-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044461592}
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  • https://www.mathnet.ru/eng/into152
  • https://www.mathnet.ru/eng/into/v131/p3
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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