Application of Measure of Noncompactness to the Infinite Systems of Second-Order Differential Equations in Banach Sequence Spaces $$c,\ell _p$$, and $$c_{0}^{\beta }$$

Anupam Das () and Bipan Hazarika ()
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Anupam Das: Rajiv Gandhi University, Department of Mathematics
Bipan Hazarika: Rajiv Gandhi University, Department of Mathematics

A chapter in Advances in Summability and Approximation Theory, 2018, pp 53-70 from Springer

Abstract: Abstract In this paper, we establish the existence of solutions of infinite systems of second-order differential equations in Banach sequence spaces by using techniques associated with measures of noncompactness in a combination of Meir–Keeler condensing operators. We illustrate our results with the help of some examples.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-3077-3_3

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DOI: 10.1007/978-981-13-3077-3_3

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