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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 26–36
DOI: https://doi.org/10.14498/vsgtu1103 (Mi vsgtu1103) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differential Equations

The problem with shift for the Bitsadze–Lykov equation

E. Yu. Arlanova

Samara State Technical University, Samara, Russia
Full-text PDF (180 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1103
Abstract: The Bitsadze-Lykov equation is considered. The problem with shift containing the Kober–Erdélyi and M. Saigo operators in boundary condition is set for this equation. The questions of uniqueness (ununiqueness) of this problem solution with different functions and constants in boundary condition are investigated. The number of theorems is formulated and proved.
Keywords: Bitsadze–Lykov equation, boundary value problem, Kober–Erdélyi operator, M. Saigo operator, Riemann–Liouville operator, existence and uniqueness of the problem solution.
Original article submitted 05/VII/2012
revision submitted – 19/XI/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.326
MSC: Primary 35L80; Secondary 35L20
Language: Russian
Citation: E. Yu. Arlanova, “The problem with shift for the Bitsadze–Lykov equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(29) (2012), 26–36
Citation in format AMSBIB
\Bibitem{Arl12}
\by E.~Yu.~Arlanova
\paper The problem with shift for the Bitsadze--Lykov equation
\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 26--36
\mathnet{http://mi.mathnet.ru/vsgtu1103}
\crossref{https://doi.org/10.14498/vsgtu1103}
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  • https://www.mathnet.ru/eng/vsgtu1103
  • https://www.mathnet.ru/eng/vsgtu/v129/p26
    • This publication is cited in the following 1 articles:
    1. N. S. Imanbaev, “Zadacha o sobstvennykh znacheniyakh differentsialnogo operatora Koshi–Rimana s nelokalnymi kraevymi usloviyami”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(34) (2014), 25–36  mathnet  crossref  zmath  elib
    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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