Functional differential equations with memory

• Grant number: 23/02112-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2023
• End date: March 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Eduardo Alex Hernández Morales
• Grantee: Henrique Messias Corbi Lopes
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

In this project we will study questions about the qualitative theory of differential equations with memory. We have particular interest in the study of the existence and uniqueness of solutions, the existence of maximal solutions and the solution dependence concerning the initial conditions. These topics will be important in our future post-graduates studies on state-dependent delay differential equations.