Majorizing Sequences for Nonlinear Fredholm–Hammerstein Integral Equations
Copyright policy )Majorizing Sequences for Nonlinear Fredholm–Hammerstein Integral Equations
AbstractWe use the method of majorizing sequences to study the applicability of Newton's method to solve nonlinear Fredholm–Hammerstein integral equations. For this, we use center convergence conditions on points different from the starting point of Newton's method, which is the point usually used by other authors until now when center conditions are required. In addition, the theoretical significance of the method is used to draw conclusions about the existence and uniqueness of solutions and about the region in which they are located. As a result, we modify the domain of starting points for Newton's method.
- University of La Rioja Spain
Other nonlinear integral equations, Newton's method, center convergence conditions, domain of starting points, Numerical methods for integral equations
Other nonlinear integral equations, Newton's method, center convergence conditions, domain of starting points, Numerical methods for integral equations
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