Singular Integral Equations of Convolution Type with Reflection and Translation Shifts |
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Authors: | Pingrun Li |
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Affiliation: | School of Mathematical Sciences, Qufu Normal University, Qufu, China |
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Abstract: | This article deals with some kinds of singular integral equations of convolution type with reflection in class {0}. Such equations are transformed into the Riemann boundary value problems with both discontinuous coefficients and reflection by Fourier transform. For such problems, we propose one method different from classical one, by which the explicit solutions and the conditions of solvability are obtained. Finally, we propose and discuss singular integral equations with reflection and translation shifts. |
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Keywords: | Singular integral equations of convolution type Riemann boundary value problems integral operators reflection translation shift |
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