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 Vestnik KRAUNC. Fiz.-Mat. Nauki, 2020, Volume 32, Number 3, Pages 55–64 (Mi vkam419)

MATHEMATICS

A boundary value problem with a displacement for the generalized equation of Trikomi with a spectral parameter in an unbounded domain

R. T. Zunnunova*, I. U. Khaydarovb

a Institute of Mathematics named after V. I. Romanovskiy, Academy of Sciences of Uzbekistan
b Fergana State university

Abstract: In this paper, for the generalized Tricomi equation with a spectral parameter in an unbounded domain, the elliptical part of which is a horizontal strip, we study a problem with a shift on the characteristics of different families. The uniqueness of the solution to the problem is proved by the method of energy integrals, and the existence of the solution to the problem by the method of Green's functions and the method of integral equations

Keywords: problem with displacement, generalized Tricomi equation, mixed-type equation, unbounded domain, method of Green's functions, method of integral equations, method of energy integrals.
* Author to whom correspondence should be addressed

DOI: https://doi.org/10.26117/2079-6641-2020-32-3-55-64

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Full text: http://krasec.ru/zunnunov323/
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UDC: 517.956.6
MSC: 35M12

Citation: R. T. Zunnunov, I. U. Khaydarov, “A boundary value problem with a displacement for the generalized equation of Trikomi with a spectral parameter in an unbounded domain”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 32:3 (2020), 55–64

Citation in format AMSBIB
\Bibitem{ZunKha20} \by R.~T.~Zunnunov, I.~U.~Khaydarov \paper A boundary value problem with a displacement for the generalized equation of Trikomi with a spectral parameter in an unbounded domain \jour Vestnik KRAUNC. Fiz.-Mat. Nauki \yr 2020 \vol 32 \issue 3 \pages 55--64 \mathnet{http://mi.mathnet.ru/vkam419} \crossref{https://doi.org/10.26117/2079-6641-2020-32-3-55-64}