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

• Mısır, Adil ^[1] ; Öğrekçi, Süleyman ^[2] ; Başcı, Yasemin ^[3]
  1. [1] Gazi University.
  2. [2] Amasya University.
  3. [3] Bolu Abant Izzet Baysal University.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 6, 2022, págs. 1475-1504
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5260
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• Resumen

  • 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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