Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 47-53
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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.
@article{INTO_2023_226_a4,
author = {A. M. Volodchenkov and A. V. Yudenkov},
title = {Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {47--53},
publisher = {mathdoc},
volume = {226},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2023_226_a4/}
}
TY - JOUR AU - A. M. Volodchenkov AU - A. V. Yudenkov TI - Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2023 SP - 47 EP - 53 VL - 226 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2023_226_a4/ LA - ru ID - INTO_2023_226_a4 ER -
%0 Journal Article %A A. M. Volodchenkov %A A. V. Yudenkov %T Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2023 %P 47-53 %V 226 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2023_226_a4/ %G ru %F INTO_2023_226_a4
A. M. Volodchenkov; A. V. Yudenkov. Boundary-value problems with shift and conjugation and corresponding systems of singular integral equations for bianalytic functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 47-53. http://geodesic.mathdoc.fr/item/INTO_2023_226_a4/