RUS  ENG
Full version
JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023 Volume 226, Pages 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

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.

UDC: 517.968

MSC: 45E99

DOI: 10.36535/0233-6723-2023-226-47-53



© Steklov Math. Inst. of RAS, 2024