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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.1973.tde-30062022-103121
Document
Author
Full name
Teresa Tochiko Udo
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1973
Supervisor
Committee
Ize, Antonio Fernandes (President)
Qualifik, Paul
Rodrigues, Hildebrando Munhoz
Title in Portuguese
DESIGUALDADES DIFERENCIAIS FUNCIONAIS E APLICAÇÕES AO COMPORTAMENTO ASSINTÓTICO E PERTURBABILIDADE DE VARIEDADES ASSINTÓTICAS DE UM SISTEMA DE EQUAÇÕES DIFERENCIAIS FUNCIONAIS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
FUNCTIONAL DIFFERENTIAL INEQUALITIES AND APPLICATIONS TO THE ASYMPIOTIC BEHAVIOR AND THE PERTURBABILITY OF THÉ ASYMPTOTIC MANIFOLD OF A PERTURBED SYSTEM OF FUNCTIONAL DIFFERENTIAL EQUATIONS
Keywords in English
Not available
Abstract in English
We shall investigate some of the asymptotic relation- ships between the solutions of the nonlinear functional differential equation (1') x(t) = A(t)x(t) + f(t, xt and the solutions of the linear ordinary differential equation (2) y(t) = A(t)y(t) These results extend and improve known results of Hallam, Ladas and Lakshnikantham. We also study the asymptotic manifold of solutions of (1') generated by the solutions of (2) extending known results from Ladas, Lakshmikantham and Leela from ordinary differential equations. Our techniques are a combination of a new comparison principle which relates the solutions of the system of functional differential equations z'(t) = F(t, ztt) to the solutions of a scalar functional differential equation u(t) = g(t, ut) and the Schauder-Tychonoff fixed phint Theorem.
 
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Publishing Date
2022-06-30
 
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