• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Tesis Doctoral
DOI
https://doi.org/10.11606/T.55.1975.tde-29062022-143943
Documento
Autor
Nombre completo
Plácido Zoega Táboas
Instituto/Escuela/Facultad
Área de Conocimiento
Fecha de Defensa
Publicación
São Carlos, 1975
Director
Tribunal
Onuchic, Nelson (Presidente)
Ize, Antonio Fernandes
Lopes, Orlando Francisco
Qualifik, Paul
Título en portugués
ADMISSIBILIDADE E APLICAÇÕES EM 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
We are concerned with the following ordinary differential equation: (1) 5: : A(t)z + f(t,x), where :, x, f(t,x) are n-vectors, A(t) is an nxn matrix, the independent variable t ranging on [O,∞). A well known theorem of Corduneanu [5, Th. I] establishes the existence of a set f of solutions of (1), contained in a given Banach space D. Furthermore, f can be posed in one-to-one correspondence with a subspace of the phase space. This work is planned as follows: First, we study the admissibility of certains pairs of Banach spaces (B,D) with respect to A(t). In other words, we look for sufficient conditions in order that the (equation. (2) y = A(t)y + b(t) have a solution in D, provided b(t) ε B. Secondly, under suitable conditions we establish homeomorphisms between the above mentioned set f, its section f(0), and a subspace of the phase space. In the last part, we introduce the concept of D stability as an extension of stability in the sense of Lyapunov. We deal with admissibility results, in connection with the topological properties of the set f, to make applications in conditional Dstability. The main tool used here is prowided by results of Massera and Schãffer on linear differential equations and functional analysis [11,12,13].
 
ADVERTENCIA - La consulta de este documento queda condicionada a la aceptación de las siguientes condiciones de uso:
Este documento es únicamente para usos privados enmarcados en actividades de investigación y docencia. No se autoriza su reproducción con finalidades de lucro. Esta reserva de derechos afecta tanto los datos del documento como a sus contenidos. En la utilización o cita de partes del documento es obligado indicar el nombre de la persona autora.
Fecha de Publicación
2022-06-30
 
ADVERTENCIA: Aprenda que son los trabajos derivados haciendo clic aquí.
Todos los derechos de la tesis/disertación pertenecen a los autores
CeTI-SC/STI
Biblioteca Digital de Tesis y Disertaciones de la USP. Copyright © 2001-2024. Todos los derechos reservados.