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Eurasian Mathematical Journal, 2024, Volume 15, Number 1, Pages 34–48
DOI: https://doi.org/10.32523/2077-9879-2024-15-1-34-48
(Mi emj490)
 

A problem with gellerstedt conditions on different characteristics for a mixed loaded equation of the second kind

B. I. Islomova, D. A. Nasirovab

a Department of Differential Equations and Mathematical Physics, National University of Uzbekistan named after M. Ulugbek, 4 University St, 100174, Tashkent, Uzbekistan
b Department of Higher Mathematics, Tashkent State Technical University named after I. Karimov, Almazar district, 2 University St, 100095, Tashkent, Uzbekistan
References:
Abstract: This work is devoted to a formulation and an investigation of a boundary value problem with Gellerstedt conditions on different characteristics for the loaded parabolic-hyperbolic type equation of the second kind.By using the extremum principle and the method of energy integrals, there are proved the uniqueness of solution of the formulated problem, and the existence of a solution to the problem — by the method integral equations.
Keywords and phrases: loaded equation of the second kind, problem with Gellerstedt conditions, representation of the general solutions, energy integral method, extremum principle, integral equation with a shift.
Received: 26.06.2023
Document Type: Article
Language: English
Citation: B. I. Islomov, D. A. Nasirova, “A problem with gellerstedt conditions on different characteristics for a mixed loaded equation of the second kind”, Eurasian Math. J., 15:1 (2024), 34–48
Citation in format AMSBIB
\Bibitem{IslNas24}
\by B.~I.~Islomov, D.~A.~Nasirova
\paper A problem with gellerstedt conditions on different characteristics for a mixed loaded equation of the second kind
\jour Eurasian Math. J.
\yr 2024
\vol 15
\issue 1
\pages 34--48
\mathnet{http://mi.mathnet.ru/emj490}
\crossref{https://doi.org/10.32523/2077-9879-2024-15-1-34-48}
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