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Hyers-Ulam Stability of Linear Differential Equations

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Computational Intelligence, Cyber Security and Computational Models. Models and Techniques for Intelligent Systems and Automation (ICC3 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 844))

Abstract

In this paper, we investigate the approximate solution of the homogeneous and non-homogeneous linear differential equations of second order and nth order, where n is even, in the sense of Hyers-Ulam. Also, some illustrative examples are given.

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Acknowledgements

The authors express their sincere gratitude to the editors and anonymous reviewers for the careful reading of the original manuscript, for the useful comments that helped to improve the presentation of the results and for accentuating the important details.

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Authors and Affiliations

  1. PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore, 635 601, Tamil Nadu, India

    R. Murali & A. Ponmana Selvan

Authors
  1. R. Murali
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  2. A. Ponmana Selvan
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Corresponding author

Correspondence to R. Murali .

Editor information

Editors and Affiliations

  1. PSG College of Technology, Coimbatore, India

    Geetha Ganapathi

  2. BITS Pilani, KK Birla, Goa, India

    Arumugam Subramaniam

  3. University of the Basque Country, San Sebastian, Spain

    Manuel Graña

  4. PSG College of Technology, Coimbatore, India

    Suresh Balusamy

  5. PSG College of Technology, Coimbatore, India

    Rajamanickam Natarajan

  6. PSG College of Technology, Coimbatore, India

    Periakaruppan Ramanathan

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Murali, R., Ponmana Selvan, A. (2018). Hyers-Ulam Stability of Linear Differential Equations. In: Ganapathi, G., Subramaniam, A., Graña, M., Balusamy, S., Natarajan, R., Ramanathan, P. (eds) Computational Intelligence, Cyber Security and Computational Models. Models and Techniques for Intelligent Systems and Automation. ICC3 2017. Communications in Computer and Information Science, vol 844. Springer, Singapore. https://doi.org/10.1007/978-981-13-0716-4_15

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  • DOI: https://doi.org/10.1007/978-981-13-0716-4_15

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0715-7

  • Online ISBN: 978-981-13-0716-4

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