Existence and uniqueness to several kinds of differential equations using the Coincidence Theory
Functional Analysis
2014-03-21 v2 Classical Analysis and ODEs
Abstract
The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for some classes of ordinary differential equations.
Keywords
Cite
@article{arxiv.1403.4843,
title = {Existence and uniqueness to several kinds of differential equations using the Coincidence Theory},
author = {David Ariza-Ruiz and Jesus Garcia-Falset},
journal= {arXiv preprint arXiv:1403.4843},
year = {2014}
}
Comments
35 pages, 1 table and 1 figure. Key words: differential equations, fractional derivative, coincidence problem, fixed point, Ulam-Hyers stability