On a List of Ordinary Differential Equations Problems

TL;DR

This essay discusses the historical development of research problems in the qualitative theory of differential equations in Brazil, highlighting Mauricio Peixoto's influential list from 1962-64 at IMPA.

Contribution

It documents the origin and impact of Peixoto's 1962 problem list on the growth of qualitative differential equations research in Brazil.

Findings

Peixoto's problem list was pivotal for research in qualitative differential equations.

The essay traces the development of the field in Brazil during 1962-64.

It highlights the influence of early research activities at IMPA.

Abstract

This evocative essay focuses on the mathematical activities witnessed by the author along 1962-64 at IMPA. The list of research problems proposed in September 1962 by Mauricio Peixoto at the Seminar on the Qualitative Theory of Differential Equations is pointed out as a landmark for the genesis of the research interest in the Qualitative Theory of Differential Equations and Dynamical Systems in Brazil.