Oscillation theory for measure ODEs via generalized ODEs

• Grant number: 15/12489-0
• Support Opportunities: Scholarships in Brazil - Master
• Effective date (Start): December 01, 2015
• Effective date (End): July 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Marielle Aparecida Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The aim of this project is to introduce the concept of oscillation for generalized ordinary differential equations, to obtain results concerning oscillatoty and non-oscillatory solutions and apply the results to the study of the asymptotic behaviour of solutions. Besides, we intend to apply the obtained results to measure ordinary differential equations which include, for instance, impulsive differential equations. O ganho de obtermos os resultados sobre oscilações para EDOs a partir das EDOs generalizadas está no fato de que, para as últimas, as funções envolvidas podem ter muitas descontinuidades e/ou podem não ser de variação limitada, já que tratamos das formas integrais das equações diferenciais usando a integral não-absoluta de Kurzweil-Henstock.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SILVA, Marielle Aparecida. Theory of oscillations for measure differential equations. 2017. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.