Qualitative analysis of functional differential equations and fuzzy differential equations via generalized ordinary differential equations

• Grant number: 24/05566-7
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)
• Start date: January 01, 2025
• End date: December 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Suzete Maria Silva Afonso
• Grantee: Lucas Ozaki Mizuguti
• Supervisor: Tomas Caraballo Garrido
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Institution abroad: Universidad de Sevilla (US), Spain
• Associated to the scholarship: 23/01210-0 - Qualitative analysis of functional differential equations, BP.DD

Abstract

In addition to advancing the topics outlined in project grant #2023/01210-0 on the qualitative analysis of functional differential equations, we aim to establish a new correspondence between fuzzy differential equations and generalized ordinary differential equations under the supervision of Professor Caraballo at the University of Seville. This research seeks to derive unpublished and broader results related to the qualitative properties of solutions to fuzzy differential equations, thereby contributing to the existing body of knowledge in this field.