PERIODICIDADE PARA UMA CLASSE DE EQUAÇÕES DIFERENCIAIS-DIFERENÇA

Não disponível === This work is concerned with the differential-difference equation x(t) = - fα(X(t-1)), α > where fα is an odd simple function. We use the concept of ejectivity to show the existence of nontrivial periodic solutions for any α >...

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Bibliographic Details
Main Author: Rodrigues, Jose Carlos
Other Authors: Táboas, Plácido Zoega
Format: Others
Language:pt
Published: Biblioteca Digitais de Teses e Dissertações da USP 1989
Subjects:
Online Access:http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01042019-162831/
Description
Summary:Não disponível === This work is concerned with the differential-difference equation x(t) = - fα(X(t-1)), α > where fα is an odd simple function. We use the concept of ejectivity to show the existence of nontrivial periodic solutions for any α > 0. By elementary arguments we also show the uniqueness of these solutions for each α < 2 and the existence of at least two such solutionis for each α ≥ 2.