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On nonlinear Fredholm integral equations with non‐differentiable Nemystkii operator
Author(s) -
HernándezVerón M. A.,
Martínez Eulalia
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5801
Subject(s) - mathematics , fredholm integral equation , fredholm theory , differentiable function , integral equation , nonlinear system , uniqueness , mathematical analysis , operator (biology) , integral transform , convergence (economics) , iterative method , newton's method , mathematical optimization , biochemistry , chemistry , physics , repressor , quantum mechanics , economic growth , transcription factor , economics , gene
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.