• 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
 
 
Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2020.tde-29012020-091126
Document
Author
Full name
Antonio Marcos Vila
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1983
Supervisor
Committee
Ize, Antonio Fernandes (President)
Lopes, Orlando Francisco
Nowosad, Pedro
Oliveira, Jose Carlos de
Onuchic, Nelson
Title in Portuguese
ANÁLISE DO COMPORTAMENTO ASSINTÓTICO E EXISTÊNCIA DE SOLUÇÕES POSITIVAS DE EQUAÇÕES DIFERENCIAIS COM RETARDAMENTO PELO MÉTODO TOPOLÓGICO DE WAZEWSKI
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
Our objective in this work is to consider three problems related to retarded functional differential equations, using ideas and results mainly contained in recent Rybakowski's papers. First, we are interested in the search of positive solutions for a certain class of retarded functional differential equations. For this, we use an argument closely related to the WaZewski's Principle, but we don't employ Rybakowski's results in a direct way. Secondly, we investigate the existence of bounded solutions, whose derivatives are of exponential growth at infinity, of retarded functional differential of continuous type as: {x = y y = a(t)y + b(t)x(t-r) + f(t, xt, yt) and for which we don't require the property of uniqueness of - solutions. Third, we study an asymptotic relationship between the solutions of two retarded functional differential equations of Caratheodory type such as: y = A(t)y(t) + B(t)y(t-r) + f(t,yt) x = A(t)x(t) + B(t)x(t-r) + f(t,xt) + g(t,xt) > where A(t) = diag[ai(t)]nxn , and B(t) = [bij(t)]nxn .
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
Publishing Date
2020-01-29
 
WARNING: Learn what derived works are clicking here.
All rights of the thesis/dissertation are from the authors
CeTI-SC/STI
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2023. All rights reserved.