In this work we focus on location and approximation of a solution nonlinear integral equations Hammerstein-type when the kernel is non-separable through high order iterative process. For purpose, approximate by means separable then, perform complete study about convergence criteria for approximated obtained to our first problem. Different examples have been tested in apply theoretical results.

where X is a real number and/(i,x) is a real-valued function defined on R1 x G with /(0, x) s 0. If/(u,x) = u, the study of the boundary value problem (1) forms the foundation of the spectral analysis of A, a problem of great importance both in mathematics and its applications. If f(u,x) does not depend on « in a linear manner, one enters the relatively uncharted world of nonlinear functional a...

Abstract The purpose of this paper to establish the semilocal convergence analysis three-step Kurchatov method under weaker conditions in Banach spaces. We construct recurrence relations assumption that involved first-order divided difference operators satisfy $$\omega $$ ω condition. Theorems are given for e...

In this article to prove existence of solution of infinite system of nonlinear integral equations, we consider the space of solution containing all convergence sequences with a finite limit, as with a suitable norm is a Banach space. By creating a generalization of Meir-Keeler condensing operators which is named as F-generalized Meir-Keeler condensing operators and measure of noncompactness, we...

Analytical solutions of integral equations, either do not exist or are hard to find. Due to this, many numerical methods have been developed for finding the solutions of integral equations. The use of wavelets has come to prominence during the last two decades. Wavelets can be used as analytical tools for signal processing, numerical analysis and mathematical modeling. The early works concernin...