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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 211, Pages 3–13
DOI: https://doi.org/10.36535/0233-6723-2022-211-3-13 (Mi into1021) 		 
Boundary-value problem for an integro-differential equation of mixed type

A. T. Assanovaa, E. A. Bakirovaa, A. E. Imanchievba

a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
b K. Zhubanov Aktobe Regional State University
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DOI: https://doi.org/10.36535/0233-6723-2022-211-3-13
Abstract: For a two-point boundary-value problem for a system of integro-differential equations of mixed type, we obtain conditions for unique solvability in terms of the solvability of the Cauchy problem and a hybrid system.
Keywords: two-point boundary-value problem, integro-differential equation of mixed type, degenerate kernel, parametrization method, solvability.
Document Type: Article
UDC: 517.968.74
MSC: 34K10, 34K40, 45B05, 45D05, 45J05
Language: Russian
Citation: A. T. Assanova, E. A. Bakirova, A. E. Imanchiev, “Boundary-value problem for an integro-differential equation of mixed type”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 211, VINITI, Moscow, 2022, 3–13
Citation in format AMSBIB
\Bibitem{AssBakIma22}
\by A.~T.~Assanova, E.~A.~Bakirova, A.~E.~Imanchiev
\paper Boundary-value problem for an integro-differential equation of mixed type
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 211
\pages 3--13
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1021}
\crossref{https://doi.org/10.36535/0233-6723-2022-211-3-13}
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