Problema análogo ao de cafiero para equações diferenciais com retardamento

The main purpose of this paper is to solve a problem in Differential Equations with time Delay: “Given f:[ 0, ∞) xCH → Rn, suppose that the problem with inicial condition (1) {x = f (t, xt ) {xt0 = ψ has a unique solution for to t0 ≥ 0 fixed and ψ running ov...

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Detalles Bibliográficos
Autor: Sverzut, Rosa Lucia
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:1978
País:Brasil
Institución:Universidade de São Paulo (USP)
Repositorio:Biblioteca Digital de Teses e Dissertações da USP
Idioma:portugués
OAI Identifier:oai:teses.usp.br:tde-20250913-095630
Acceso en línea:https://teses.usp.br/teses/disponiveis/55/55135/tde-20250913-095630/
Access Level:acceso abierto
Palabra clave:EQUAÇÕES DIFERENCIAIS COM RETARDAMENTO
Descripción
Sumario:The main purpose of this paper is to solve a problem in Differential Equations with time Delay: “Given f:[ 0, ∞) xCH → Rn, suppose that the problem with inicial condition (1) {x = f (t, xt ) {xt0 = ψ has a unique solution for to t0 ≥ 0 fixed and ψ running over a dense subset A of CH. Then, what about the uniqueness outside A?" This problem is analogous to one inicially proposed by Cafiero for Ordinary Differential Equation Problem (1) is solved taking in account that its uniqueness is a generic property on CH if f is a continuous application that takes bounded sets in bounded sets.

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