6533b852fe1ef96bd12aae7c

RESEARCH PRODUCT

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

David Ariza-ruizJesus Garcia-falset

subject

Mathematics - Functional Analysis34A10 34A08 47H09Mathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsFunctional Analysis (math.FA)

description

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.

http://arxiv.org/abs/1403.4843