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Advances in Summability and Approximation Theory pp 53–70Cite as

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

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, 791112, Arunachal Pradesh, India

    Anupam Das & Bipan Hazarika

  2. Department of Mathematics, Gauhati University, Guwahati, 781014, Assam, India

    Bipan Hazarika

Authors
  1. Anupam Das
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  2. Bipan Hazarika
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Correspondence to Bipan Hazarika .

Editor information

Editors and Affiliations

  1. Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    S. A. Mohiuddine

  2. Department of Mathematics, Selçuk University, Selçuklu, Konya, Turkey

    Tuncer Acar

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Das, A., Hazarika, B. (2018). Application of Measure of Noncompactness to the Infinite Systems of Second-Order Differential Equations in Banach Sequence Spaces \(c,\ell _p\), and \(c_{0}^{\beta }\). In: Mohiuddine, S., Acar, T. (eds) Advances in Summability and Approximation Theory. Springer, Singapore. https://doi.org/10.1007/978-981-13-3077-3_3

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