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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 201, Pages 16–32
DOI: https://doi.org/10.36535/0233-6723-2021-201-16-32 (Mi into909) 		 
Inverse boundary-value problem for a pseudoparabolic-pseudohyperbolic integro-differential equation

T. K. Yuldashev (Iuldashev), B. I. Islomov

National University of Uzbekistan named after M. Ulugbek, Tashkent
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DOI: https://doi.org/10.36535/0233-6723-2021-201-16-32
Abstract: In this paper, we examine the solvability of a nonlocal inverse boundary-value problem for a mixed pseudoparabolic-pseudohyperbolic integro-differential equation with spectral parameters. Regular and irregular values of the spectral parameters are found. For regular values of spectral parameters, we obtain a criterion for the unique solvability of the inverse boundary-value problem. For irregular values of spectral parameters, we establish a criterion for the existence of an infinite set of solutions.
Keywords: integro-differential equation, mixed-type equation, spectral parameter, integral condition, solvability.
Document Type: Article
UDC: 517. 968
MSC: 35A01, 35A02, 35R09, 35M12
Language: Russian
Citation: T. K. Yuldashev (Iuldashev), B. I. Islomov, “Inverse boundary-value problem for a pseudoparabolic-pseudohyperbolic integro-differential equation”, Differential equations, geometry, and topology, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 201, VINITI, Moscow, 2021, 16–32
Citation in format AMSBIB
\Bibitem{YulIsl21}
\by T.~K.~Yuldashev (Iuldashev), B.~I.~Islomov
\paper Inverse boundary-value problem for a pseudoparabolic-pseudohyperbolic integro-differential equation
\inbook Differential equations, geometry, and topology
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 201
\pages 16--32
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into909}
\crossref{https://doi.org/10.36535/0233-6723-2021-201-16-32}
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