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Existence of solutions for a class of nonlinear Volterra singular integral equations

Computers and Mathematics With Applications, 2011
Asadollah Aghajani   +2 more
exaly  

Analytical and computational methods for a class of nonlinear singular integral equations

Applied Numerical Mathematics, 2017
Sonia Seyed Allaei   +2 more
exaly  

Application of averaging functional corrections method to nonlinear singular integral equations

1992
The author considers the existence problem for the nonlinear singular integral equation \[ \varphi (t) = \lambda G \left( t,1/2 \pi \int^{2 \pi}_ 0 g[t,\sigma, \varphi (\sigma)] \cot {\sigma - t \over 2} d \sigma \right) + f(t). \] Under some conditions on \(G,g,f\) etc. He establishes the convergence of the iteration process \[ \varphi_ n(t) = \lambda
openaire   +2 more sources

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