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, 2023, Volume 226, Pages 47–53
DOI: https://doi.org/10.36535/0233-6723-2023-226-47-53 (Mi into1200) 		 
Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions

A. M. Volodchenkova, A. V. Yudenkovb

a Plekhanov Russian University of Economics, Smolensk Branch
b Smolensk State University
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DOI: https://doi.org/10.36535/0233-6723-2023-226-47-53
Abstract: In this paper, we examine a system of singular integral equations with a Carleman shift corresponding to a multielement boundary-value problem for bianalytic functions. The results obtained are applicable to the solution of the main problems of the theory of elasticity in the contact interaction of bodies with various elastic properties.
Keywords: singular equation, boundary-value problem, bianalytic function.
Document Type: Article
UDC: 517.968
MSC: 45E99
Language: Russian
Citation: A. M. Volodchenkov, A. V. Yudenkov, “Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226, VINITI, Moscow, 2023, 47–53
Citation in format AMSBIB
\Bibitem{VolYud23}
\by A.~M.~Volodchenkov, A.~V.~Yudenkov
\paper Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 226
\pages 47--53
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1200}
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