Infinite System of Differential Equations in Some Spaces | Zendy

M. ‎Mursaleen | Zendy; Abdullah Alotaibi | Zendy

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Infinite System of Differential Equations in Some Spaces

Author(s) -

M. ‎Mursaleen,

Abdullah Alotaibi

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/863483

Subject(s) - mathematics , hausdorff measure , banach space , measure (data warehouse) , mathematical analysis , hausdorff space , differential equation , operator (biology) , fixed point theorem , hausdorff distance , point (geometry) , pure mathematics , computer science , geometry , hausdorff dimension , biochemistry , chemistry , repressor , database , transcription factor , gene

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 spaces and

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