Functional differential equations with state-dependent delay

Author(s)

Edmara Viana da Silva

• Document type: Master's Dissertation
• Press: Ribeirão Preto.
• Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (PCARP/BC)
• Defense date: 2024-02-06

Examining board members

Eduardo Alex Hernandez Morales; Abraham Isaac Solar Pirquilaf

• Advisor: Eduardo Alex Hernandez Morales

Abstract

This dissertation presents studies on the theory of differential equations with state-dependent delay and the theory of bounded linear semigroups. It simplifies the existence and uniqueness results for differential equation problems with explicit delay. Additionally, it uses the Contraction Theorem to study the existence and uniqueness of solutions for explicit neutral equations with state-dependent delay. (AU)

• FAPESP's process: 22/04392-0 - Functional differential equations with state-dependent delay
• Grantee: Edmara Viana da Silva
• Support Opportunities: Scholarships in Brazil - Master