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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 7, Pages 15–29 (Mi ivm8908)  
This article is cited in 8 scientific papers (total in 8 papers)

On solvability of some boundary value problems for polyharmonic equation with Hadamard–Marchaud boundary operator

A. E. Bekaevaa, V. V. Karachikb, B. Kh. Turmetova

a Chair of Mathematics, International Kazakh–Turkish University, 2 Esimkhan Ave., Turkestan, 161200 Republic of Kazakhstan
b Chair of Mathematical Analysis, Southern-Ural State University, 76 Lenin Ave., Chelyabinsk, 454080 Russia
Full-text PDF (249 kB) Citations (8)
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Abstract: We investigate solvability conditions of some nonclassical boundary-value problems for the polyharmonic equation. In the capacity of boundary operators we consider fractional differential operators in the sense of Hadamard–Marchaud. Considered problems are generalize the known Dirichlet and Neumann boundary-value problems on boundary operators of fractional type.
Keywords: polyharmonic equation, fractional differential operators, Hadamard–Marchaud operators, Dirichlet and Neumann boundary-value problems.
Received: 16.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 7, Pages 11–24
DOI: https://doi.org/10.3103/S1066369X14070020
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. E. Bekaeva, V. V. Karachik, B. Kh. Turmetov, “On solvability of some boundary value problems for polyharmonic equation with Hadamard–Marchaud boundary operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 7, 15–29; Russian Math. (Iz. VUZ), 58:7 (2014), 11–24
Citation in format AMSBIB
\Bibitem{BekKarTur14}
\by A.~E.~Bekaeva, V.~V.~Karachik, B.~Kh.~Turmetov
\paper On solvability of some boundary value problems for polyharmonic equation with Hadamard--Marchaud boundary operator
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 7
\pages 15--29
\mathnet{http://mi.mathnet.ru/ivm8908}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 7
\pages 11--24
\crossref{https://doi.org/10.3103/S1066369X14070020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903691263}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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