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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2019.tde-05122019-122743
Document
Author
Full name
Margarete Teresa Zanon Baptistini
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1978
Supervisor
Committee
Ize, Antonio Fernandes (President)
Lopes, Orlando Francisco
Táboas, Plácido Zoega
Title in Portuguese
SOLUÇÕES QUASE PERIÓDICAS DE EQUAÇÕES DIFERENCIAIS FUNCIONAIS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
The principal objective of this work. is to give conditions such that one can guarantee the existence of almost periodic solution for a system of functional differential equations with time delay. There are two ways of discussing this problem, both of them assuming the existence of bounded solutions for the almost periodic system. One is to assume a separation condition for the bounded solutions and, in this sense, we present generalizations of Favard's [3] and Amerio's L1) results for functional differential equations with time delay. The other one is to assume that the bounded solutions have some kind of stability property (uniform stability, uniform asymptotic stability, total stability, ...). By using Liapunov's theory we analyse the problem above with stronger stability hypothesis. We also discuss the relationship between stability properties and separability properties.
 
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Publishing Date
2019-12-05
 
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