Topological methods for the study of existence, multiplicity and bifurcation of solutions of some classes of nonlinear, ordinary and time-delayed differential equations

• Grant number: 25/15671-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: September 01, 2025
• End date: August 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Pierluigi Benevieri
• Grantee: Yelsin Velasquez Varillas
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 24/21356-2 - Topological methods for the study of existence, multiplicity and bifurcation of solutions of some classes of nonlinear, ordinary and delay differential equations, AP.R

Abstract

The research project will address the study of several classes of nonlinear differential equations, both ordinary and with time delay, based on recent results on the existence, multiplicity, and bifurcation of periodic solutions. These results were obtained by applying topological techniques such as topological degree and the fixed-point index.