On the application of the newton-kantorovich method to nonlinear integral equations of uryson type
From MaRDI portal
Publication:4711158
DOI10.1080/01630569108816428zbMath0746.45002OpenAlexW2084369456MaRDI QIDQ4711158
Jürgen Appell, Espedito De Pascale, Peter P. Zabreĭko
Publication date: 25 June 1992
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630569108816428
Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
On the Newton-Kantorovich hypothesis for solving equations ⋮ A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space ⋮ On the method of near equations ⋮ Improved error bounds for Newton-like iterations under Chen-Yamamoto conditions ⋮ On Uryson operators with partial integrals in Lebesgue spaces with mixed norm ⋮ Improved á posterìori error bounds for zincenko's iteration ⋮ Positive and nontrivial solutions for the Urysohn integral equation ⋮ A Newton-type method and its application ⋮ Convergence of the Newton-Kantorovich method under Vertgeim conditions: A new improvement ⋮ Constant-sign solutions of a system of difference equations of Urysohn type ⋮ Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method ⋮ On a perturbed functional integral equation of Urysohn type ⋮ New results on newton-kantorovich approximations with applications to nonlinear integral equations ⋮ The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions ⋮ Compactness of the set of trajectories of the control system described by a Urysohn type integral equation with quadratic integral constraints on the control functions ⋮ Concerning the convergence of a modified Newton-like method ⋮ General 2 \({\times}\) 2 system of nonlinear integral equations and its approximate solution ⋮ New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations ⋮ A Newton-like iterative process for the numerical solution of Fredholm nonlinear integral equations ⋮ On the convergence of a certain class of iterative procedures under relaxed conditions with applications ⋮ Constant-Sign Solutions of a System of Urysohn Integral Equations ⋮ A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions
Cites Work