Teoria de floquet para equacoes diferenciais funcionais do tipo neutro

• Ano de defesa: 1977
• Autor(a) principal: Barbanti, Luciano
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: EQUAÇÕES DIFERENCIAIS FUNCIONAIS; FUNÇÕES ESPECIAIS
• Link de acesso: https://teses.usp.br/teses/disponiveis/55/55135/tde-20250913-095439/

The purpose of this work is to give a Floquet Theory to NFDE, in the sense of Stokes' Theory for RFDE. Considering by one hand, the division of linear operators, due to Ambrosetti in this paper "Propriettá spettali di certi operatori lineari non compatti" (Rend. Sem. Un. Padova, 1969), and by the other hand, extending, in the sense of strict inclusion of sets, the component that contains the complex zero, of the Fredholm domain of certains operators, we stablish a Floquet Theory by a class of NFDE called NFDE(&alpha;). The equations RFDE, linear periodics are included in NFDE(&alpha;) that we conjecture, are "dense" and of "2nd category" in the class of NFDE linear periodics. Giving T (t, 0) the solution operators, associated to (E), when (E) e EDFN (&alpha;), (E) w-periodic, there exists &lambda; a "normal" eingenvalue of T(n w, 0), E&lambda;, F&lambda;, subspaces of C ([-r, 0], En), such that: (i) C ( [-r, 0], En) = E&lambda; &oplus; F&lambda; 0 &lt; dim E&lambda; &lt; &infin; (ii) xt (0, &Psi;) = P (t/n) eBt e-yt/n ; &Psi; &isin; E&lambda;</sub; and t&epsilon; (-&infin;, &infin;)