[PDF][PDF] On the solutions of a class of nonlinear integral equations in the Banach algebra of the continuous functions and some examples

I Özdemir, B Ilhan, Ü Çakan - Annals of West University of Timisoara …, 2014 - sciendo.com
In this paper, we study the existence of the solutions of a class of functional integral
equations which contain a lot of classical nonlinear integral equations as special cases. We …

The technique of measures of noncompactness in Banach algebras and its applications to integral equations

J Banaś, S Dudek - Abstract and Applied Analysis, 2013 - Wiley Online Library
We study the solvability of some nonlinear functional integral equations in the Banach
algebra of real functions defined, continuous, and bounded on the real half axis. We apply …

The solvability of some nonlinear functional integral equations

İ Özdemir, Ü Çakan - Studia Scientiarum Mathematicarum …, 2016 - akjournals.com
In this paper, using a Darbo type fixed point theorem associated with the measure of
noncompactness we prove a theorem on the existence of solutions of some nonlinear …

[PDF][PDF] On the existence of solutions for a class of systems of functional integral equations of Volterra type in two variables

R Allahyari, R Arab… - Iranian Journal of …, 2015 - journals.shirazu.ac.ir
The aim of this paper is to show how some measures of noncompactness in the Banach
space of continuous functions defined on two variables can be applied to the solvability of a …

Applications of measure of noncompactness and Darbo's fixed point theorem to nonlinear integral equations in Banach spaces

Ü Çakan, İ Özdemir - Numerical Functional Analysis and …, 2017 - Taylor & Francis
We prove a theorem on the existence of solutions of some nonlinear functional integral
equations in the Banach algebra of continuous functions on the interval [0, a]. Then we …

[PDF][PDF] On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem

M Kazemi - International Journal of Nonlinear Analysis and …, 2022 - ijnaa.semnan.ac.ir
In this research, we analyze the existence of solution for some nonlinear functional integral
equations using the techniques of measures of noncompactness and the Petryshyn's fixed …

On existence theorems for some generalized nonlinear functional-integral equations with applications

LN Mishra, M Sen, RN Mohapatra - Filomat, 2017 - JSTOR
In the present paper, utilizing the techniques of suitable measures of noncompactness in
Banach algebra, we prove an existence theorem for nonlinear functional-integral equation …

Study on existence of solutions for some nonlinear functional-integral equations with applications

HK Pathak - Mathematical Communications, 2013 - hrcak.srce.hr
Study on existence of solutions for some nonlinear functional-integral equations with
applications 1. Introduction Page 1 MATHEMATICAL COMMUNICATIONS 97 Math. Commun …

On a class of measures of noncompactness in Banach algebras and their application to nonlinear integral equations

J Banaś, L Olszowy - Zeitschrift für Analysis und ihre Anwendungen, 2009 - ems.press
We introduce a class of measures of noncompactness in Banach algebras satisfying certain
condition and we prove a fixed point theorem for the product of two operators being …

Existence of solution for non-linear functional integral equations of two variables in Banach algebra

HM Srivastava, A Das, B Hazarika, SA Mohiuddine - symmetry, 2019 - mdpi.com
The aim of this article is to establish the existence of the solution of non-linear functional
integral equations x (l, h)= U (l, h, x (l, h))+ F l, h,∫ 0 l∫ 0 h P (l, h, r, u, x (r, u)) drdu, x (l, h)× …