Infinite System of Differential Equations in Some Spaces
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 t...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/863483 |
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| author | M. Mursaleen Abdullah Alotaibi |
| author_facet | M. Mursaleen Abdullah Alotaibi |
| author_sort | M. Mursaleen |
| collection | DOAJ |
| description | 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 . |
| format | Article |
| id | doaj-art-11bb7db19e754ec9a2f82083a86da622 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-11bb7db19e754ec9a2f82083a86da6222025-02-03T05:46:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/863483863483Infinite System of Differential Equations in Some SpacesM. Mursaleen0Abdullah Alotaibi1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThe 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 .http://dx.doi.org/10.1155/2012/863483 |
| spellingShingle | M. Mursaleen Abdullah Alotaibi Infinite System of Differential Equations in Some Spaces Abstract and Applied Analysis |
| title | Infinite System of Differential Equations in Some Spaces |
| title_full | Infinite System of Differential Equations in Some Spaces |
| title_fullStr | Infinite System of Differential Equations in Some Spaces |
| title_full_unstemmed | Infinite System of Differential Equations in Some Spaces |
| title_short | Infinite System of Differential Equations in Some Spaces |
| title_sort | infinite system of differential equations in some spaces |
| url | http://dx.doi.org/10.1155/2012/863483 |
| work_keys_str_mv | AT mmursaleen infinitesystemofdifferentialequationsinsomespaces AT abdullahalotaibi infinitesystemofdifferentialequationsinsomespaces |