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ON THE METHOD OF SOLUTION FOR A KIND OF NONLINEAR SINGULAR INTEGRAL EQUATION
Acta Mathematica Scientia, 2004The author considers the nonlinear singular integral equation \[ \phi(t)^{2}+\frac{2b}{\pi i}\int_{L}\frac{\phi(\tau)}{\tau-t}d\tau=f(t), \quad t\in L, \] where \(L\) is a closed countour in the complex plane, \(b\not=0\) is a constant and \(f(t)\) is a polynomial. Certain special cases of the above equation are considered.
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