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2012 Infinite System of Differential Equations in Some BK Spaces
M. Mursaleen, Abdullah Alotaibi
Abstr. Appl. Anal. 2012(SI05): 1-20 (2012). DOI: 10.1155/2012/863483


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 , p ( 1 p ) and n ( ϕ ) .


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M. Mursaleen. Abdullah Alotaibi. "Infinite System of Differential Equations in Some BK Spaces." Abstr. Appl. Anal. 2012 (SI05) 1 - 20, 2012.


Published: 2012
First available in Project Euclid: 7 May 2014

zbMATH: 1258.28006
MathSciNet: MR2999878
Digital Object Identifier: 10.1155/2012/863483

Rights: Copyright © 2012 Hindawi


Vol.2012 • No. SI05 • 2012
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