A study on delay differential equations and applications

• Grant number: 25/08394-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2025
• End date: June 30, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marta Cilene Gadotti
• Grantee: Gabriela Alves Squaiella
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

The purpose of this project is to rigorously address the qualitative theory of differential equations with retardation, such as the results of existence, uniqueness of solution, prolongation of solutions and continuous dependence regarding initial conditions. Then address stability theory and apply the techniques discussed in models described by retarding equations, such as biological models and economy models. (AU)