On nonlinear Fredholm integral equations with non-differentiable Nemystkii operator |
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| Authors: | M A Hernández-Verón Eulalia Martínez |
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| Institution: | 1. Department of Mathematics and Computation, University of La Rioja, Logroño, Spain;2. Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain |
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| Abstract: | From decomposition method for operators, we consider a Newton-Steffensen iterative scheme for approximating a solution of nonlinear Fredholm integral equations with non-differentiable Nemystkii operator. By means of a convergence study of the iterative scheme applied to this type of nonlinear Fredholm integral equations, we obtain domains of existence and uniqueness of solution for these equations. In addition, we illustrate this study with a numerical experiment. |
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| Keywords: | domain of existence of solution domain of uniqueness of solution Fredholm integral equation two-steps Newton iterative scheme |
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