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Singular Integral Equations of Convolution Type With Carleman Shift

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  • A. S. Nagdy
  • KH. M. Hashem
  • H. E. H. Ebrahim
  • Mohammad Safi Ullah

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

Suggested Citation

  • A. S. Nagdy & KH. M. Hashem & H. E. H. Ebrahim & Mohammad Safi Ullah, 2025. "Singular Integral Equations of Convolution Type With Carleman Shift," Abstract and Applied Analysis, Hindawi, vol. 2025, pages 1-8, January.
    • Handle: RePEc:hin:jnlaaa:2599043
    DOI: 10.1155/aaa/2599043
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