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Doctoral Thesis
DOI
Document
Author
Full name
Rosa Lucia Sverzut Baroni
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1984
Supervisor
Committee
Reis, José Geraldo dos (President)
Avellar, Cerino Ewerton de
Ize, Antonio Fernandes
Nowosad, Pedro
Oliva, Waldyr Muniz
Title in Portuguese
INVARIANÇA, CONJUNTOS LIMITES E ESTABILIDADE EM SISTEMAS SEMI-DINÂMICOS GERADOS POR EQUAÇÕES DIFERENCIAIS FUNCIONAIS RETARDADAS AUTÔNOMAS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
This work is devoted to the study of Dynamical Systems defined by Autonomous Retarded Functional Differential Equations. In general, we don't have backward continuation of solutions then, we must work with Semy-Dynamical Systems. There is an extensive literature on Semy-Dynamical Systems but, usually, it is supposed that the phase space is of finite dimension or, at least, locally compact, wich it is not the case here, because we work with an infinite dimensional space. We try to present all the concepts of the cbassical theory of Dynamical Systems like, for instance, trajectories, invariant sets, critical and periodic points, limit sets , recursiveness, dispersiveness, attraction and stability of sets. We also prove a theorem about existence of periodic solution for equations in R2 that lives S1 invariant.
 
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Publishing Date
2019-11-01
 
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