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SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE 被引量:2

SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE
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摘要 In this article, periodic Riemann boundary value problem with period 2aπ along closed smooth contours is discussed, and then singular integral equation with kernel csc t-t0/a along closed smooth contours restricted in the strip 0 〈 Rez 〈 aπ is discussed. Finally, the solutions with singularities of order one for the above two problems are discussed. In this article, periodic Riemann boundary value problem with period 2aπ along closed smooth contours is discussed, and then singular integral equation with kernel csc t-t0/a along closed smooth contours restricted in the strip 0 〈 Rez 〈 aπ is discussed. Finally, the solutions with singularities of order one for the above two problems are discussed.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2006年第3期410-414,共5页 数学物理学报(B辑英文版)
基金 Supported by the National Natural Science Foundation of China (19971064)
关键词 Cosecant kernel singular integral equation the singularities of order one Cosecant kernel, singular integral equation, the singularities of order one
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二级参考文献3

  • 1Lu Jian-ke.On Integral Equations Along Curve, the Solutions of Which have Singularities of Order One[].Journal of Wuhan University.1964
  • 2Lu Jian-ke,Zhang Gui-sheng.On Singular Integral Equations with Solutions Having Singularities of Order One[].Journal of Wuhan University.1997
  • 3Lu Jian-ke.On Singular Integral Equations with Hilbert Kernel[].Advances in Mathematics.1965

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