Semigroups theory and applications for differential equations with delay

• Grant number: 19/14990-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2020
• End date: July 14, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Michelle Fernanda Pierri Hernandez
• Grantee: Akira Teixeira Tarui
• 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, the student will study initially differential equations in Banach spaces, via linear semigroup theory. Next, the student will apply the techniques acquired on the theory of semigroups to study the existence and uniqueness of solutions to differential equations with delay. The development of this project will allow the student to have a first contact with the practice of individual research, which will be important in the base and the incentive for their future research activities. (AU)