Semilinear equations via generalized ODEs

• Grant number: 24/14781-9
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 01, 2025
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Lucas Henrique Destro de Toledo
• Supervisor: Tomas Caraballo Garrido
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Universidad de Sevilla (US), Spain
• Associated to the scholarship: 22/16313-7 - Semilinear equations via generalized ordinary differential equations, BP.DR

Abstract

This research project focuses on semilinear differential equations within the framework of generalized differential equations. Specifically, we aim to understand the qualitative properties of semilinear differential equations that contain integrable terms in the sense of Kurzweil.