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Doctoral Thesis
DOI
10.11606/T.55.2012.tde-12062012-144138
Document
Author
Full name
André Luiz Furtado
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2012
Supervisor
Committee
Federson, Márcia Cristina Anderson Braz (President)
Neves, Aloisio Jose Freiria
Pereira, Marcone Corrêa
Rabelo, Marcos Napoleão
Táboas, Plácido Zoega
Title in Portuguese
Sobre soluções periódicas de equações diferenciais com retardo e impulsos
Keywords in Portuguese
Equações diferenciais com retardo e impulsos
Soluções periódicas
Teoria do grau
Abstract in Portuguese
Neste trabalho, apresentamos condições suficientes para a existência e a unicidade de soluções periódicas para equações diferenciais funcionais com retardo e impulsos. Os resultados sobre existência estão ancorados num Teorema de Continuação de Jean Mawhin. Por outro lado, as condições que garantem a unicidade de soluções periódicas são condições do tipo Lipschitz
Title in English
On periodic solutions of retarded differential equations with impulses
Keywords in English
Degree theory
Periodic solutions
Retarded differential equations with impulses
Abstract in English
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
 
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andrerev.pdf (445.21 Kbytes)
Publishing Date
2012-06-12
 
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