On abstract differential equations with nonlocal conditions involving the temporal derivative of the solution


Autoria(s): Hernandez, Eduardo; dos Santos, Jair Silverio; Azevedo, Katia A. G.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/09/2013

20/09/2013

2012

Resumo

In this paper we discuss the existence of solutions for a class of abstract differential equations with nonlocal conditions for which the nonlocal term involves the temporal derivative of the solution. Some concrete applications to parabolic differential equations with nonlocal conditions are considered. (C) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

Identificador

INDAGATIONES MATHEMATICAE-NEW SERIES, AMSTERDAM, v. 23, n. 3, supl. 4, Part 1-2, pp. 401-422, SEP, 2012

0019-3577

http://www.producao.usp.br/handle/BDPI/33536

10.1016/j.indag.2012.02.006

http://dx.doi.org/10.1016/j.indag.2012.02.006

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

AMSTERDAM

Relação

INDAGATIONES MATHEMATICAE-NEW SERIES

Direitos

closedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #NONLOCAL CONDITIONS #ABSTRACT CAUCHY PROBLEM #ANALYTIC SEMIGROUP #EVOLUTION-EQUATIONS #INITIAL CONDITIONS #ALPHA-NORM #EXISTENCE #REGULARITY #UNIQUENESS #MATHEMATICS
Tipo

article

original article

publishedVersion