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Theory of oscillations for measure differential equations

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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

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