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Singular Integral Equations of Convolution Type with Cosecant Kernels and Periodic Coefficients

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  • Pingrun Li

Abstract

We study singular integral equations of convolution type with cosecant kernels and periodic coefficients in class . Such equations are transformed into a discrete jump problem or a discrete system of linear algebraic equations by using discrete Fourier transform. The conditions of Noethericity and the explicit solutions are obtained by means of the theory of classical boundary value problem and of the Fourier analysis theory. This paper will be of great significance for the study of improving and developing complex analysis, integral equations, and boundary value problems.

Suggested Citation

  • Pingrun Li, 2017. "Singular Integral Equations of Convolution Type with Cosecant Kernels and Periodic Coefficients," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-6, October.
    • Handle: RePEc:hin:jnlmpe:6148393
    DOI: 10.1155/2017/6148393
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