Geodesic
Approximate Solution for a Class of Two-Dimensional Nonlinear Singular Integral Equations by the Contraction Mapping Method
Matematičeskie zametki, Tome 92 (2012) no. 3, pp. 395-400

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We obtain solutions for a class of two-dimensional nonlinear singular integral equations with Hilbert kernel using the contraction mapping method and find the rate of convergence of successive approximations to the exact solution.
Keywords: nonlinear singular integral equation, contraction mapping method, singular integral, Banach space.
Mots-clés : Hilbert kernel 
@article{MZM_2012_92_3_a6,
     author = {N. F. Gasymova},
     title = {Approximate {Solution} for a {Class} of {Two-Dimensional} {Nonlinear} {Singular} {Integral} {Equations} by the {Contraction} {Mapping} {Method}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {395--400},
     publisher = {mathdoc},
     volume = {92},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_3_a6/}
}
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N. F. Gasymova. Approximate Solution for a Class of Two-Dimensional Nonlinear Singular Integral Equations by the Contraction Mapping Method. Matematičeskie zametki, Tome 92 (2012) no. 3, pp. 395-400. http://geodesic.mathdoc.fr/item/MZM_2012_92_3_a6/