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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 2, Pages 30–37 (Mi ivm8868)  

This article is cited in 6 scientific papers (total in 6 papers)

The Cauchy problem of the moment elasticity theory in $\mathbf R^m$

I. E. Niyozov, O. I. Makhmudov

Chair of Mathematical Physics and Functional Analysis, Samarkand State University, 15 Universitetskii blvd., Samarkand, 140129 Republic of Uzbekistan
Full-text PDF (198 kB) Citations (6)
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Abstract: In this paper we consider the problem of analytical continuation of the solution to the system of equations of the moment theory of elasticity in spatial many-dimensional domain. We give an explicit formula of restoring of solution inside the domain by values of sought-for solution and values of strains on part of the boundary of this domain.
Keywords: Cauchy problem, Carleman function, Carleman matrix, system of elacticity theory.
Received: 10.09.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 2, Pages 24–30
DOI: https://doi.org/10.3103/S1066369X14020042
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: I. E. Niyozov, O. I. Makhmudov, “The Cauchy problem of the moment elasticity theory in $\mathbf R^m$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2, 30–37; Russian Math. (Iz. VUZ), 58:2 (2014), 24–30
Citation in format AMSBIB
\Bibitem{NieMak14}
\by I.~E.~Niyozov, O.~I.~Makhmudov
\paper The Cauchy problem of the moment elasticity theory in~$\mathbf R^m$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 2
\pages 30--37
\mathnet{http://mi.mathnet.ru/ivm8868}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 2
\pages 24--30
\crossref{https://doi.org/10.3103/S1066369X14020042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897782735}
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  • https://www.mathnet.ru/eng/ivm/y2014/i2/p30
  • This publication is cited in the following 6 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:199
    Full-text PDF :51
    References:30
    First page:8
     
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