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

Grant number: 18/09889-4
Support type:Research Grants - Visiting Researcher Grant - International
Duration: July 23, 2018 - 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 Doslá
Visiting researcher institution: Masaryk University, Czech Republic
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

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)