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- Title
NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH SHIFT IN THE GENERALIZED HÖLDER SPACES.
- Authors
Saleh, M. H.; Amer, S. M.; Mohammed, D. Sh.
- Abstract
This paper concerns sufficient conditions for the convergence of Newton-Kantorovich majorant method for the solution of a certain class of nonlinear singular integral equations with shift. A criterion for the Noetherity of a correspondence singular integral functional operator of second order with Carleman shift preserving orientation is obtained and the index formula is given.
- Subjects
NUMERICAL solutions to nonlinear integral equations; STOCHASTIC convergence; KANTOROVICH method; NOETHER'S theorem; GENERALIZED spaces; FUNCTIONAL analysis
- Publication
Journal of Applied Functional Analysis, 2010, Vol 5, Issue 1, p302
- ISSN
1559-1948
- Publication type
Article