On the spectrum of weakly almost periodic solutions of certain abstract differential equations
type: Item
instance of: scholarly article
title: On the spectrum of weakly almost periodic solutions of certain abstract differential equations
zbMATH Open document ID: 0569.34043
DOI: 10.1155/S0161171285000096
author: Aribindi Satyanarayan Rao
author: Lakshmi Shanker Dube
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45948
review text: In a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfies certain conditions, then the spectrum of any weakly almost periodic solution of the differential equation \(u'=Au+f\) is identical with the spectrum of f except at the origin, where f is a weakly almost periodic function.
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 43A60
zbMATH DE Number: 3908883
zbMATH Keywords: densely defined linear operator
zbMATH Keywords: Hilbert space
zbMATH Keywords: nonnegative self-adjoint operator
zbMATH Keywords: sequentially weakly complete Banach space
zbMATH Keywords: spectrum
MaRDI profile type: Publication
OpenAlex ID: W2007396867
description: scientific article; zbMATH DE number 3908883