Existence and uniqueness to several kinds of differential equations using the Coincidence Theory

2014/03/19 by David Ariza‐Ruiz, Ariza-Ruiz, David, Jesús Garcı́a-Falset +1
Mathematics · Computer Science · #Fixed Point Theorems Analysis #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1403.4843

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.

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