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Doctoral Thesis
DOI
Document
Author
Full name
Raimundo Rodrigues Ferreira
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1986
Supervisor
Committee
Carvalho, Luiz Antonio Vieira de (President)
Ize, Antonio Fernandes
Molfetta, Natalino Adelmo de
Oliveira, Jose Carlos Fernandes de
Qualifik, Paul
Title in Portuguese
MÉTODOS DIRETOS PARA A ANÁLISE DO COMPORTAMENTO ASSINTÓTICO DE EQUAÇÕES DIFERENCIAIS FUNCIONAIS E EQUAÇÕES A DIFERENÇAS FINITAS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
The main objective of this work is to study the asymptotic behavior of the solutions of both functional differential equations and difference equations, through direct methods. For the case of functional differential equations, we use Lyapunoff vector functions, in connection with Razumikhi's idea in order construct appropriate comparison systems. For the case of difference equations, we use the invariants of Minkowski's metric in order to develop a principle which gives useful criteria to determine various kinds of stability, including those of Lagrange and Lyapunoff. Besides this, the above technique is also used in the construction of comparison systems for these equations.
 
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Publishing Date
2019-10-25
 
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