Generalized convolution-type singular integral equations

Pingrun Li

Applied Mathematics and Computation, 2017, vol. 311, issue C, 314-323

Abstract: In this paper, we study one class of generalized convolution-type singular integral equations in class {0}. Such equations are turned into complete singular integral equations with nodal points and further turned into boundary value problems for analytic function with discontinuous coefficients by Fourier transforms. For such equations, we will propose one method different from classical one and obtain the general solutions and their conditions of solvability in class {0}. Thus, this paper generalizes the theory of classical equations of convolution type.

Keywords: Convolution kernel; Complete singular integral equation; Fourier transform; Fredholm equation; Clifford analysis (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:311:y:2017:i:c:p:314-323

DOI: 10.1016/j.amc.2017.05.036

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