Please use this identifier to cite or link to this item: http://elib.psu.by:8080/handle/123456789/22792
Title: On the exceptional case of the characteristic singular equation with Cauchy kernel
Authors: Urbanovich, T. M.
Keywords: Cauchy integral
Kernel (Mathematics)
Integral equations
Coefficients (Statistics)
Hilbert's tenth problem
Issue Date: 2016
Citation: Urbanovich, T. M. On the exceptional case of the characteristic singular equation with Cauchy kernel / T.M. Urbanovich // Differential Equations – 2016. - Vol. 52, № 12. – P. 1650–1654.
Abstract: We study the exceptional case of the characteristic singular integral equation with Cauchy kernel in which its coefficients admit zeros or singularities of complex orders at finitely many points of the contour. By reduction to a linear conjugation problem, we obtain an explicit solution formula and solvability conditions for this equation in weighted Hölder classes.
URI: http://elib.psu.by:8080/handle/123456789/22792
https://link.springer.com/article/10.1134/S0012266116120119
Appears in Collections:Публикации авторов ПГУ в Scopus и Web of Science

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