Title : ( Existence, uniqueness and stability of solutions for a class of nonlinear integral equations under generalized Lipschitz condition )
Authors: omid baghani , Mortaza Gachpazan , Hamid Baghani ,
Full TextAbstract
In this paper, we prove the existence, uniqueness and the stability of solutions for some nonlinear functional-integral equations by using generalized Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aims in Banach space X := C([a, b],R). As application we study some Volterra integral equations with linear, nonlinear and singular kernel.
Keywords
, Nonlinear functional, integral equation; Hyers, Ulam stability; iterative method; fixed point theorem.
@article{paperid:1030128,
author = {Baghani, Omid and Gachpazan, Mortaza and Hamid Baghani},
title = {Existence, uniqueness and stability of solutions for a class of nonlinear integral equations under generalized Lipschitz condition},
journal = {Indian Journal of Pure and Applied Mathematics},
year = {2012},
volume = {43},
number = {4},
month = {August},
issn = {0019-5588},
pages = {309--321},
numpages = {12},
keywords = {Nonlinear functional-integral equation; Hyers-Ulam stability; iterative method; fixed point theorem.},
}
%0 Journal Article
%T Existence, uniqueness and stability of solutions for a class of nonlinear integral equations under generalized Lipschitz condition
%A Baghani, Omid
%A Gachpazan, Mortaza
%A Hamid Baghani
%J Indian Journal of Pure and Applied Mathematics
%@ 0019-5588
%D 2012
