Abstract
We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval[0,a]. To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompactness. We give also an example satisfying the conditions of our main theorem but not satisfying the conditions described by Maleknejad et al. (2009).
Highlights
As it is known, nonlinear integral equations constitute an important branch of nonlinear analysis
We study the functional integral equation (5) under the following conditions
The previous estimate (19) proves that operator F is continuous on ball Br0
Summary
Nonlinear integral equations constitute an important branch of nonlinear analysis. Some authors have given some results for solvability of some functional integral equations such as Muresan in [1], Banas and Sadarangani in [2], and Djebali and Hammache in [3]. The following equation has been considered in [4]:. Maleknejad et al in [5] studied the existence of solutions of the following equation:. (K1) f : [0, 1] × R → R is continuous and there exist nonnegative constants μ and k such that. We consider the following nonlinear functional integral equation:.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
