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A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind
Symmetry, 2020Sanda Micula
exaly
Solution of a nonlinear singular integral equation with quadratic nonlinearity
Ukrainian Mathematical Journal, 2004openaire +1 more source
Existence of solutions for a class of nonlinear Volterra singular integral equations
Computers and Mathematics With Applications, 2011Asadollah Aghajani +2 more
exaly
Analytical and computational methods for a class of nonlinear singular integral equations
Applied Numerical Mathematics, 2017Sonia Seyed Allaei +2 more
exaly
Application of averaging functional corrections method to nonlinear singular integral equations
1992The 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

