학술논문
APPLICATION OF FIXED POINT THEOREM FOR UNIQUENESS AND STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS
Document Type
Article
Author
Source
Journal of Applied Mathematics and Informatics, 36(1), pp.1-14 Jan, 2018
Subject
Language
English
ISSN
2234-8417
1598-5857
1598-5857
Abstract
In this paper, we prove the existence, uniqueness and stability of solution for some nonlinear functional-integral equations by using generalized coupled Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aim in Banach space $X = C([a,b],\mathbb{R})$. As application we study some volterra integral equations with linear, nonlinear and single kernel.