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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2021, Volume 25, Number 1, Pages 35–50
DOI: https://doi.org/10.14498/vsgtu1835 (Mi vsgtu1835) 		 
Differential Equations and Mathematical Physics

Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation

A. N. Zarubin

Orel State University after I. S. Turgenev, Orel, 302026, Russian Federation
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DOI: https://doi.org/10.14498/vsgtu1835
Abstract: We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations in all arguments of the required function. A reduction is applied to a mixed-type equation without deviations. Symmetric pairwise commutative matrices of the coefficients of the equation are used. The theorems of uniqueness and existence are proved. The problem is unambiguously solvable.
Keywords: mixed-type equation, differential-difference equation, integral equation, singular integral equation, concentrated lag and lead.
Received: November 5, 2020
Revised: February 13, 2021
Accepted: February 22, 2021
First online: March 10, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
MSC: 35M12
Language: Russian
Citation: A. N. Zarubin, “Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:1 (2021), 35–50
Citation in format AMSBIB
\Bibitem{Zar21}
\by A.~N.~Zarubin
\paper Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2021
\vol 25
\issue 1
\pages 35--50
\mathnet{http://mi.mathnet.ru/vsgtu1835}
\crossref{https://doi.org/10.14498/vsgtu1835}
\zmath{https://zbmath.org/?q=an:1474.35495}
\elib{https://elibrary.ru/item.asp?id=45604169}
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