Geodesic
Application of Measure of Noncompactness to Infinite Systems of Differential Equations
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 388-394

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DOI

In this paper we determine theHausdorff measure of noncompactness on the sequence space $n\left( \phi\right)$ of $\text{W}\text{.}\,\text{L}\text{.}\,\text{C}.$ Sargent. Further we apply the technique of measures of noncompactness to the theory of infinite systems of differential equations in the Banach sequence spaces $n\left( \phi\right)$ and $m\left( \phi\right)$ . Our aim is to present some existence results for infinite systems of differential equations formulated with the help of measures of noncompactness.
DOI : 10.4153/CMB-2011-170-7
Mots-clés : 46B15, 46B45, 46B50, 34A34, 34G20, sequence spaces, BK spaces, measure of noncompactness, infinite system of differential equations 
Mursaleen, M. Application of Measure of Noncompactness to Infinite Systems of Differential Equations. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 388-394. doi: 10.4153/CMB-2011-170-7
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     author = {Mursaleen, M.},
     title = {Application of {Measure} of {Noncompactness} to {Infinite} {Systems} of {Differential} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {388--394},
     year = {2013},
     volume = {56},
     number = {2},
     doi = {10.4153/CMB-2011-170-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-170-7/}
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