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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2019.tde-04122019-151821
Document
Author
Full name
Maria Angela de Pace Almeida Prado Giongo
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1978
Supervisor
Committee
Molfetta, Natalino Adelmo de (President)
Lopes, Orlando Francisco
Táboas, Plácido Zoega
Title in Portuguese
LIMITAÇÃO EVENTUAL UNIFORME E ESTABILIDADE UNIFORME DE SISTEMAS DE EQUAÇÕES DIFERENCIAIS COM RETARDAMENTO PERTURBADOS DE SISTEMAS NÃO LINEARES
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
EVENTUALLY UNIFORM-BOUNDED AND UNIFORM STABILITY OF SYSTEMS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH TINE DELAY PERTURBED NONLINEAR SYSTEMS
Keywords in English
Not available
Abstract in English
In this work we consider three parts. In the first one we develop certain basic facts on functional differential equations with time delay. ln the second part, by using Liapunov Functions, we study the eventually uniform-bounded and uniform stability of a system of ordinary differential equations: y = f(t,y) + g(t,y) . perturbed from the non-linear system x = f(t,x) under the assumption that this system has at least onde bounded solution. The central part of the work is the third one where we extend the above results to functional differential equations - with time delay with an application to the equation x(t) = - ∫0-r = a(-θ)h(Φ (θ))d.
 
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Publishing Date
2019-12-04
 
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