COMPORTAMENTO ASSINTÓTICO DE SISTEMAS DE EQUAÇÕES FUNCIONAIS NÃO LINEARES PERTURBADAS DE SISTEMAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS NÃO LINEARES

Cassago Junior, Herminio

doi:10.11606/D.55.1974.tde-01072022-140301

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.1974.tde-01072022-140301

Document

Master's Dissertation

Author

Cassago Junior, Herminio (Catálogo USP)

Full name

Herminio Cassago Junior

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

1974-07-26

Published

São Carlos, 1974

Supervisor

Ize, Antonio Fernandes (Catálogo USP)

Committee

Ize, Antonio Fernandes (President)
Qualifik, Paul
Rodrigues, Hildebrando Munhoz

Title in Portuguese

COMPORTAMENTO ASSINTÓTICO DE SISTEMAS DE EQUAÇÕES FUNCIONAIS NÃO LINEARES PERTURBADAS DE SISTEMAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS NÃO LINEARES

Keywords in Portuguese

Não disponível

Abstract in Portuguese

Não disponível

Title in English

Asymptotic behavior of nonlinear perturbed systems of functional differential equations and nonlinear systems of ordinary differential equatio

Keywords in English

Not available

Abstract in English

We shall inVestigate the asymptotic relationsHips between the solutions of the nonlinear differential equation. (1) x = f(t,x) and the solutions of the nonlinear perturbed functional differential equation (2) y = f(t,y) + g(t,y_t). The main idea is to extend results of a paper by Fennel and Procter, quoted in the work, converning the ordinary differential equation y = f(t,y) + g(t,y). Our technique is provided by a comparison principle and the fixed point theorem of Schauder-Tychonoff.

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HerminioCassagoJunior_ME_1974.pdf (1.19 Mbytes)

Publishing Date

2022-07-01

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