Oscillation and non-oscillation in differential equations involving non-absolute integrable functions

• Grant number: 18/09889-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 23, 2018
• End date: August 02, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Márcia Cristina Anderson Braz Federson
• Visiting researcher: Zuzana Dosla
• Visiting researcher institution: Masaryk University , Czech Republic
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• City of the host institution: São Carlos

Abstract

We are investigating results on oscillations and non-oscillation of solutions of Nonlinear Functional Differential Equations and Generalized Ordinary Differential Equations and the participation of a renowned researcher in the subject is very important for us. The objectives of the visit are, therefore, the development of some stages of the mentioned project and the strengthening of the interaction of the Brazilian and Czech groups in Functional Differential Equations and Non-Absolute Integration of Kurzweil-Henstock. Professor Doslá's visit to the ICMC-USP will allow the continuation of the exchange we have had with researchers from the Czech Republic whose research areas involve Kurzweil-Henstock Non-Absolute Integration within the diverse theories of Equations Differences (functional, abstract, impulsive, measure, etc.). (AU)