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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 150–158
DOI: https://doi.org/10.14498/vsgtu1141 (Mi vsgtu1141) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

On the problem with generalized operators of fractional differentiation for mixed type equation with two degeneracy lines

O. A. Repinab, S. K. Kumykovac

a Samara State Technical University, Samara, 443100, Russia
b Samara State University of Economics, Samara, 443090, Russia
c Kabardino-Balkar State University, Nalchik, 360004, Russia
Full-text PDF (180 kB) Citations (9)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1141
Abstract: The nonlocal problem for mixed-type equation with perpendicular lines of degeneracy is investigated for the case when the Dirichlet condition is given on the elliptic boundary, and the generalized derivatives of the solution values on the characteristics are pointwise related to the solution and its normal derivatives values on the lines of a parabolic degeneracy in its hyperbolic parts.
Keywords: nonlocal problem, regular solution, operators of fractional integro-differentiation, Cauchy problem, Fredholm equation, singular integral equation with Cauchy kernel, regularizer, Abel equation.
Original article submitted 22/X/2012
revision submitted – 16/XI/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
MSC: Primary 35M10; Secondary 26A33, 35A05
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “On the problem with generalized operators of fractional differentiation for mixed type equation with two degeneracy lines”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 150–158
Citation in format AMSBIB
\Bibitem{RepKum13}
\by O.~A.~Repin, S.~K.~Kumykova
\paper On the problem with generalized operators of~fractional differentiation for mixed type equation with two degeneracy lines
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 150--158
\mathnet{http://mi.mathnet.ru/vsgtu1141}
\crossref{https://doi.org/10.14498/vsgtu1141}
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  • https://www.mathnet.ru/eng/vsgtu/v130/p150
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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