Introduction to the Qualitative Theory of Ordinary Differential Equations

• Grant number: 23/05469-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2023
• End date: December 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Pedro Toniol Cardin
• Grantee: Luiz Felipe Rodrigues Comeli
• Host Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil
• Associated research grant: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II, AP.TEM

Abstract

In this project we study systems of first order ordinary differential equations focusing on qualitative theory. The study will address local, global, and asymptotic aspects of the solutions of the system with applications in some classical models.