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On periodic solutions of retarded differential equations with impulses

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Author(s):
André Luiz Furtado
Total Authors: 1
Document type: Doctoral Thesis
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; Aloisio Jose Freiria Neves; Marcone Corrêa Pereira; Marcos Napoleão Rabelo; Plácido Zoega Táboas
Advisor: Márcia Cristina Anderson Braz Federson; Pierluigi Benevieri
Abstract

In this work, we present sufficient conditions for the existence and the uniqueness of periodic solutions for retarded functional differential equations with impulses. The results on the existence of periodic solutions are anchored by a Jean Mawhin continuation theorem. Moreover, the conditions that guarantee the uniqueness of the periodic solutions are Lipschitz type (AU)