Qualitative analysis of functional differential equations

• Grant number: 23/01210-0
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: July 01, 2023
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Suzete Maria Silva Afonso
• Grantee: Lucas Ozaki Mizuguti
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Associated research grant: 20/14075-6 - Dynamical systems and their attractors under perturbations, AP.TEM
• Associated scholarship(s): 24/05566-7 - Qualitative analysis of functional differential equations and fuzzy differential equations via generalized ordinary differential equations, BE.EP.DD

Abstract

This project aims to investigate qualitative properties of solutions of functional differential equations using the composite coincidence degree theory and results from the theory of generalized ordinary differential equations. We intend to obtain results for the following classes of functional differential equations: linear functional differential equations, neutral functional differential equationsand functional differential equations with impulses. Furthermore, we aim to apply the developed theory to functional differential equations that model real phenomena, such as the spread of Covid-19 and predator-prey relationships. (AU)