Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (3): 507-512.

• Articles • Previous Articles    

ON THE METHOD OF SOLUTION FOR A KIND OF
NONLINEAR SINGULAR INTEGRAL EQUATION

 LIU Jian-Ge   

  • Online:2004-07-20 Published:2004-07-20

Abstract:

The solutions of the nonlinear singular integral equation '(t)2+2b
i RL
'()
−t d =
f(t), t ∈ L, are considered, where L is a closed contour in the complex plane, b 6= 0 is a
constant and f(t) is a polynomial. It is an extension of the results obtained in [1] when
f(t) is a constant. Certain special cases are illustrated.

Key words: Singular integral equation with Cauchy kernel;Riemann boundary value
problem with square roots;modified principal part;Plemelj formula

CLC Number: 

  • 45G05
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