On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation

We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval. The existence and uniqueness of approximate s...

Full description

Bibliographic Details
Main Authors: Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov, N. M. A. Nik Long
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/219616