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Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

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Abstract

We investigate Hyers–Ulam and Hyers–Ulam–Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach space.

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Acknowledgements

The authors would like to thank the anonymous referee and the handling Editor for many useful comments and suggestions, leading to an improvement of the presentation of this article.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, University of Jeddah, Jeddah, 21589, Saudi Arabia

    Maryam A. Alghamdi, Mymonah Alharbi & Alaa E. Hamza

  2. Department of Mathematics and Statistics, Missouri S&T, Rolla, MO, 65409, USA

    Martin Bohner

  3. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

    Alaa E. Hamza

Authors
  1. Maryam A. Alghamdi
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  2. Mymonah Alharbi
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  3. Martin Bohner
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  4. Alaa E. Hamza
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Correspondence to Martin Bohner.

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Alghamdi, M.A., Alharbi, M., Bohner, M. et al. Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations. Qual. Theory Dyn. Syst. 20, 45 (2021). https://doi.org/10.1007/s12346-021-00451-3

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  • DOI: https://doi.org/10.1007/s12346-021-00451-3

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