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| Author(s): |
Marielle Aparecida Silva
Total Authors: 1
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| 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: | 2017-08-07 |
| Examining board members: |
Márcia Cristina Anderson Braz Federson;
Andréa Cristina Prokopczyk Arita;
Everaldo de Mello Bonotto;
Jaqueline Godoy Mesquita
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| 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 Opportunities: | Scholarships in Brazil - Master |