Existence and uniqueness of solution of first order nonlinear difference equation
Abstract
This paper is devoted to obtaining the existence and uniqueness result of nonhomogeneous first order nonlinear difference equation with nonlocal condition in cone metric space. Banach contraction principle is used to prove the results. Finally an application of the established result is demonstrated.
Copyright © 2020 G. C. Done, K. L. Bondar, P. U. Chopade. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
G. C. Done, K. L. Bondar, P. U. Chopade, Existence and uniqueness of solution of first order nonlinear difference equation, J. Math. Comput. Sci. 10 (2020), 1375–1383. https://doi.org/10.28919/jmcs/4619
BibTeX
@article{Done2020,
author = {Done, G. C. and Bondar, K. L. and Chopade, P. U.},
title = {Existence and uniqueness of solution of first order nonlinear difference equation},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {1375--1383},
doi = {10.28919/jmcs/4619}
}