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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, 2012, Issue 4(29), Pages 17–25
DOI: https://doi.org/10.14498/vsgtu1123 (Mi vsgtu1123) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Differential Equations

Problem with shift for the third-order equation with discontinuous coefficients

O. A. Repinab, S. K. Kumykovac

a Samara State Technical University, Samara, Russia
b Samara State Economic University, Samara, Russia
c Kabardino-Balkar State University, Nalchik, Russia
Full-text PDF (177 kB) Citations (20)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1123
Abstract: The unique solvability of boundary value problem with Saigo operators for the third-order equation with multiple characteristics was investigated. The uniqueness theorem with constraints of inequality type on the known functions and different orders of generalized fractional integro-differentiation was proved. The existence of solution is equivalently reduced to the solvability of Fredholm integral equation of the second kind.
Keywords: boundary value problem, Gauss hypergeometric function, operators of fractional order, Fredholm equation.
Original article submitted 17/X/2012
revision submitted – 16/XI/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.6+517.968.23
MSC: Primary 35M12; Secondary 26A33, 33C05
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “Problem with shift for the third-order equation with discontinuous coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(29) (2012), 17–25
Citation in format AMSBIB
\Bibitem{RepKum12}
\by O.~A.~Repin, S.~K.~Kumykova
\paper Problem with shift for the third-order equation with discontinuous coefficients
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 4(29)
\pages 17--25
\mathnet{http://mi.mathnet.ru/vsgtu1123}
\crossref{https://doi.org/10.14498/vsgtu1123}
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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