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

• Grant number: 24/21356-2
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2025
• End date: May 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Pierluigi Benevieri
• Grantee: Pierluigi Benevieri
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated researchers: Guglielmo Feltrin ; Pablo Amster

Abstract

The research project will address the study of some classes of non-linear, ordinary and delayed differential equations, based on recent results on the existence, multiplicity and bifurcation of periodic solutions. Such results have been obtained by applying topological techniques such as topological degree and fixed point index. (AU)