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Disertación de Maestría
DOI
https://doi.org/10.11606/D.55.2019.tde-05122019-100646
Documento
Autor
Nombre completo
Luiz Carlos Paulu
Instituto/Escuela/Facultad
Área de Conocimiento
Fecha de Defensa
Publicación
São Carlos, 1974
Director
Tribunal
Onuchic, Nelson (Presidente)
Molfetta, Natalino Adelmo de
Rodrigues, Hildebrando Munhoz
 
Título en portugués
COMPORTAMENTO ASSINTÓTICO DE SOLUÇÕES DE SISTEMAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS
Palabras clave en portugués
Não disponível
Resumen en portugués
Não disponível
 
Título en inglés
Not available
Palabras clave en inglés
Not available
Resumen en inglés
This work has two distincts objectives. However these objectives are basically dependents on the invariance properties of w-limit sets of solutions, bounded in the future, of differential equations. The first objective is essentially an application of the above mentioned result. We look for conditions under which, we can guarantee that every solution (x(t),x(t)), of a nonautonomous second order differential equation. x + h(t,x,x)x + f(x) + g(t,x,X) + p(t,x,x) = O, tends to (η,0), as t → ∞ where (η,0) is an equilibrium point of a certain autonomous equation. We are also interested in studying the stability properties of a class of equilibrium point of the above mentioned second: order differential equation. Our results are closely related to the ones obtained by N,.Onu chic in [11]. However our hypotheses are different from his assumptions. The second main objective of this work is to extend criterions of instability obtained by N.Onuchic [13] to a certain class of nonautonomous differential systems. To this end the main tool used here is provided by results of H.M.Rodrigues [16] on Invariance.
 
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Fecha de Publicación
2019-12-05
 
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