Singular Integral Equations of Convolution Type With Carleman Shift

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...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2025; no. 1
Main Authors Nagdy, A. S., Hashem, KH. M., Ebrahim, H. E. H.
Format Journal Article
LanguageEnglish
Published New York John Wiley & Sons, Inc 01.01.2025
Wiley
Subjects
Analytic functions
Boundary value problems
Convolution
Exact solutions
Fourier analysis
Fourier transforms
Integral equations
Mathematical analysis
Mathematicians
Singular integral equations
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Summary: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
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1085-3375
1687-0409
DOI:10.1155/aaa/2599043