Infinite system of differential equations in some \(BK\) spaces
type: Item
instance of: scholarly article
title: Infinite system of differential equations in some \(BK\) spaces
zbMATH Open document ID: 1258.28006
DOI: 10.1155/2012/863483
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al. These measures of noncompactness have various applications in several areas of analysis, for example, in operator theory, fixed point theory, and in differential and integral equations. In particular, the Hausdorff measure of noncompactness has been extensively used in the characterizations of compact operators between the infinite-dimensional Banach spaces. In this paper, we present a brief survey on the applications of measures of noncompactness to the theory of infinite system of differential equations in some \(BK\) spaces \(c_0, c, \ell_p(1 \leq p \leq \infty)\) and \(n(\phi)\).
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 46G12
zbMATH DE Number: 6134179
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: Hausdorff measure
zbMATH Keywords: infinite system of differential equations in some \(BK\) spaces
author: M. Mursaleen
author: Abdullah Alotaibi
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/863483
OpenAlex ID: W2035995487
Wikidata QID: Q58696984
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description: scientific article; zbMATH DE number 6134179