Ulam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transform

Authors

  • Adil Mısır Gazi University.
  • Süleyman Öğrekçi Amasya University.
  • Yasemin Başcı Bolu Abant Izzet Baysal University.

DOI:

https://doi.org/10.22199/issn.0717-6279-5260

Keywords:

Hyers-Ulam stability, Mittag-Leffler-Hyers-Ulam stability, linear differential equation, Aboodh transform

Abstract

The main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of second order with constant coefficients having damping term using the Aboodh transform method. We also obtain the Hyers-Ulam stability constants of these differential equations using the Aboodh transform and some examples to illustrate our main results are given.

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Author Biographies

  • Adil Mısır, Gazi University.

    Department of Mathematics, Faculty Science.

  • Süleyman Öğrekçi, Amasya University.

    Department of Mathematics, Faculty of Arts and Science.

  • Yasemin Başcı, Bolu Abant Izzet Baysal University.

    Department of Mathematics, Faculty of Arts and Science.

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Published

2022-11-14

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How to Cite

[1]
“Ulam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transform”, Proyecciones (Antofagasta, On line), vol. 41, no. 6, pp. 1475–1504, Nov. 2022, doi: 10.22199/issn.0717-6279-5260.