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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 5, Pages 55–64 (Mi ivm6736)  

This article is cited in 1 scientific paper (total in 1 paper)

A mapping for a point spectrum and the uniqueness of a solution to the inverse problem for a Sobolev-type equation

A. V. Urazaeva

Chair or Mathematical Analisys, Chelyabinsk State University, Chelyabinsk, Russia
Full-text PDF (212 kB) Citations (1)
References:
Abstract: In this paper we study a mapping of a point spectrum of a multivalued linear operator that generates a strongly continuous semigroup. We obtain the necessary and sufficient conditions for the uniqueness of a solution to the inverse problem for a Sobolev-type equation.
Keywords: multivalued linear operator, inverse problem, uniqueness of a solution, semigroup of operators, Sobolev-type equation, phase field system of equations.
Received: 07.04.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 5, Pages 47–55
DOI: https://doi.org/10.3103/S1066369X10050075
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Urazaeva, “A mapping for a point spectrum and the uniqueness of a solution to the inverse problem for a Sobolev-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 5, 55–64; Russian Math. (Iz. VUZ), 54:5 (2010), 47–55
Citation in format AMSBIB
\Bibitem{Ura10}
\by A.~V.~Urazaeva
\paper A mapping for a~point spectrum and the uniqueness of a~solution to the inverse problem for a~Sobolev-type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 5
\pages 55--64
\mathnet{http://mi.mathnet.ru/ivm6736}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779773}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 5
\pages 47--55
\crossref{https://doi.org/10.3103/S1066369X10050075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649594771}
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  • https://www.mathnet.ru/eng/ivm/y2010/i5/p55
  • This publication is cited in the following 1 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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    Abstract page:292
    Full-text PDF :53
    References:56
    First page:8
     
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