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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.1978.tde-04082022-164948
Document
Author
Full name
Aldo Ventura
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1978
Supervisor
Committee
Ize, Antonio Fernandes (President)
Honig, Chaim Samuel
Onuchic, Nelson
Reis, José Geraldo dos
Rodrigues, Hildebrando Munhoz
Title in Portuguese
EQUIVALÊNCIA ASSINTÓTICA RELATIVA ENTRE AS SOLUÇÕES DE UM SISTEMA DE EQUAÇÕES DIFERENCIAIS FUNCIONAIS DO TIPO NEUTRO E SEU PERTURBADO
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
In this work we study the relative asymptotic equivalence between the solutions of a system d/dt Dxtt = f(t, xt (L) and its perturbed d/dt [Dxt - G (t, xt)] = f(t,xt) + g(t, xt) (P). We give an extension of the Alekseev variation of constant formula for neutral nonlinear perturbed equation and make an application to the relative asymptotic equivalence between the solutions of (L) and (P). We study also different concepts of relative asymptotic equivalence in different cases when D and f are linear autonomous and nonlinear nonautonomous. The techniques employed are concerned vvith the variation of constants formula, comparison methods and functional analysis methods as for example the Banach and Darbo fixed point theorems and uniform boundedness principle.
 
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Publishing Date
2022-08-11
 
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