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Theory of oscillations for measure differential equations

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Author(s):
Marielle Aparecida Silva
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Márcia Cristina Anderson Braz Federson; Andréa Cristina Prokopczyk Arita; Everaldo de Mello Bonotto; Jaqueline Godoy Mesquita
Advisor: Márcia Cristina Anderson Braz Federson; Marta Cilene Gadotti
Abstract

In this work, we present new criteria for the existence of oscillatory and nonoscillatory solutions of measure functional differential equations with impulses, separating them into two classes: delay differential equations and functional differential equations with advanced argument. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many discontinuities and/or they can be of unbounded variation. (AU)

FAPESP's process: 15/12489-0 - Oscillation theory for measure ODEs via generalized ODEs
Grantee:Marielle Aparecida Silva
Support type: Scholarships in Brazil - Master