Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (4): 620-626.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.017

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A Class of Singular Integral Equation of Convolution Type with csc(τ-θ)Kernel

  

  1. School of Mathematical Sciences, Qufu Normal University
  • Received:2013-09-16 Online:2014-12-30 Published:2020-11-27
  • About author:LI Ping-run(1966-), male, native of Yanzhou, Shandong, an associate professor of Qufu Normal University, Ph.D., engages in the boundary value problem of analytic function and singular integral equation.
  • Supported by:
    Supported by the Qufu Normal University Youth Fund(XJ201218);

Abstract: In this paper, we propose and discuss a class of singular integral equation of convolution type with csc(τ- θ) kernel in class L2[-π, π]. Using discrete Fourier transform and the lemma, this kind of equations is transformed to discrete system of equations, and then we obtain the solvable conditions and the explicit solutions in class L2[-π, π]. 

Key words: singular integral equation, convolution type, csc(τ- θ) kernel

CLC Number: