Singular Integral Equations of Convolution Type With Carleman Shift

A. S. Nagdy, Kh. M. Hashem, H. E. H. Ebrahim and Mohammad Safi Ullah

Abstract and Applied Analysis, 2025, vol. 2025, 1-8

Abstract: This article discusses a few different types of singular integral equations of the convolution type with Carleman shift in class {0}. By using the theory of Fourier analysis, these equations under consideration are transformed into Riemann–Hilbert boundary value problems for analytic functions with shift and discontinuous coefficients. For such problems, we propose a method different from the classical ones, and we obtain the analytic solutions and the conditions of Noether solvability.MSC2010 Classification: 45E10, 45E05, 30E25

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:2599043

DOI: 10.1155/aaa/2599043

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