Generalized ordinary differential equations in metric spaces

TL;DR

This paper extends the theory of generalized ordinary differential equations to metric spaces, providing improved existence and uniqueness theorems that surpass previous results even in Euclidean spaces.

Contribution

It introduces a generalized framework for ODEs in metric spaces with stronger existence and uniqueness results.

Findings

Enhanced existence theorems for generalized ODEs in metric spaces

Improved uniqueness results compared to previous literature

Applicability to Euclidean spaces as a special case

Abstract

The aim of this text is to extend the theory of generalized ordinary differential equations to the setting of metric spaces. We present existence and uniqueness theorems that significantly improve previous results even when restricted back to Euclidean spaces.