PROBLEMA DE CAUCHY PARA OPERADORES SETORIAIS

Simal, Janete Crema

doi:10.11606/D.55.2019.tde-20022019-112218

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2019.tde-20022019-112218

Document

Master's Dissertation

Author

Simal, Janete Crema (Catálogo USP)

Full name

Janete Crema Simal

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

1990-04-25

Published

São Carlos, 1990

Supervisor

Biasi, Carlos (Catálogo USP)

Committee

Ruas Filho, Jose Gaspar (President)
Bergamasco, Adalberto Panobianco
Perissinotto Junior, Anizio

Title in English

PROBLEMA DE CAUCHY PARA OPERADORES SETORIAIS

Keywords in English

Not available

Abstract in English

Neste trabalho estudou-se o problema de valor inicial (P.V.I.) {x = Ax + f (t,x) {x (t₀) = x₀ , onde A é operador setorial. Usando propriedades de potências fracionárias de operadores foi mostrado que, acrescentando-se algumas condições,. o P.V.I. acima tem solução clássica única.

Title in English

Not available

Keywords in English

Not available

Abstract in English

In this work we study the initial value problem {x -Ax + f(t,x) {x(t0) = x₀ , where A is a setorial operator. Using properties of fractional powers of operators, it is shown that the above initial value problem has, underi mild conditions, aunique classical solution.

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Publishing Date

2019-02-20

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