A study of the theory of differential equations and applications to economics

• Grant number: 11/12925-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2011
• End date: August 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Jair Silvério dos Santos
• Grantee: Paola Torresan
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

This project aims to address some commonly used mathematical methods in economic dynamics. Specifically, we intend developing, with the student in an economics course some techniques of ordinary differential equations that allow asolid understanding of an important class of economic systems that can be modeled by ordinary differential equations. The curriculum is being developed primarily on the study of fundamental concepts of differential equations, linear differential equation systems.