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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, 2011, Issue 1(22), Pages 140–150
DOI: https://doi.org/10.14498/vsgtu861 (Mi vsgtu861) 		 
Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

Nonlocal boundary value problem for a Lykov's type system of first-order

O. A. Repina, S. K. Kumykovab

a Dept. of Mathematical Statistics and Econometrics, Samara State Economic University, Samara
b Dept. of Function Theory, Kabardino-Balkar State University, Nal'chik
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DOI: https://doi.org/10.14498/vsgtu861
Abstract: In this paper we prove the unique solution of the problem with a shift to a Lykov's type system of differential equations of first order. The proof is given for different values of the generalized operators of fractional integro-differentiation included in the boundary condition.
Keywords: nonlocal value boundary problem, system of differential equations, integral equations.
Original article submitted 20/XII/2010
revision submitted – 26/II/2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.32
MSC: Primary 35L50; Secondary 35Q05, 47G20, 34B10
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “Nonlocal boundary value problem for a Lykov's type system of first-order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 140–150
Citation in format AMSBIB
\Bibitem{RepKum11}
\by O.~A.~Repin, S.~K.~Kumykova
\paper Nonlocal boundary value problem for a~Lykov's type system of~first-order
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 140--150
\mathnet{http://mi.mathnet.ru/vsgtu861}
\crossref{https://doi.org/10.14498/vsgtu861}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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