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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2020.tde-20022020-162711
Document
Author
Full name
Geraldo Garcia Duarte Junior
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1987
Supervisor
Committee
Reis, José Geraldo dos (President)
Avellar, Cerino Ewerton de
Bassanezi, Rodney Carlos
Claeyssen, Julio Cesar Ruiz
Táboas, Plácido Zoega
Title in Portuguese
COMPORTAMENTO ASSINTOTICO DE UMA CLASSE DE EQUACOES DIFERENCIAIS RETARDADAS COM APLICACOES EM BIOLOGIA.
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
In the first chapter of this work, the retarded functional differential equations x(t) = - λx(t) + λf(x(t - 1)) are studied. We show the existence of an unbounded continuun of slowly oscillating periodic solutions that bifurcates from a non zero equilibrium. In Chapter II, we apply the results of the first chapter in three mathematical models used in Biology; In the last part we study the stability of the equations x(t) = - λx (t) + f(g(t - R1), x(t - R2),...,x(t - Rk)) where x ε R and f: Rn → R. Some results that are independent of the size of the delays are established.
 
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Publishing Date
2020-02-21
 
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