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Application of Measure of Noncompactness to Infinite Systems of Differential Equations

Published online by Cambridge University Press:  20 November 2018

M. Mursaleen
M. Mursaleen*
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India e-mail: mursaleenm@gmail.com
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Abstract

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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.

Keywords

46B1546B4546B5034A3434G20sequence spacesBK spacesmeasure of noncompactnessinfinite system of differential equations
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 2 , 01 June 2013 , pp. 388 - 394
Copyright
Copyright © Canadian Mathematical Society 2013

References

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