Mahgoub transform and Hyers-Ulam stability of $ n^{th} $ order linear differential equations

S. Deepa; S. Bowmiya; A. Ganesh; Vediyappan Govindan; Choonkil Park; Jung Rye Lee; S. Deepa; S. Bowmiya; A. Ganesh; Vediyappan Govindan; Choonkil Park; Jung Rye Lee

doi:10.3934/math.2022278

AIMS Mathematics

2022, Volume 7, Issue 4: 4992-5014. doi: 10.3934/math.2022278

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Mahgoub transform and Hyers-Ulam stability of $ n^{th} $ order linear differential equations

1.
Department of Mathematics, Adhiyamaan College of Engineering and Technology, Hosur-365109, Tamilnadu, India
2.
Department of Mathematics, Unique College of Arts and Sciences, Karapattu, Tamilnadu, India
3.
Department of Mathematics, Government Arts and Science College (Model College), Hosur-365109, Tamilnadu, India
4.
Department of Mathematics, Dmi St John The Baptist University, Mangochi 409, Central Africa, Malawi
5.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
6.
Department of Data Sciences, Daejin University, Kyunggi 11159, Korea

Received: 29 October 2021 Revised: 16 December 2021 Accepted: 21 December 2021 Published: 29 December 2021
MSC : 26D10, 34A40, 34K20, 39A30, 39B82, 44A10

The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of $ n^{th} $ order with constant coefficients using the Mahgoub transform method. We also show the Hyers-Ulam constants of these differential equations and give some main results.
- Mahgoub transform,
- Hyers-Ulam stability,
- $ n^{th} $ order linear differential equation,
- functional equation
Citation: S. Deepa, S. Bowmiya, A. Ganesh, Vediyappan Govindan, Choonkil Park, Jung Rye Lee. Mahgoub transform and Hyers-Ulam stability of $ n^{th} $ order linear differential equations[J]. AIMS Mathematics, 2022, 7(4): 4992-5014. doi: 10.3934/math.2022278

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Abstract

The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of $ n^{th} $ order with constant coefficients using the Mahgoub transform method. We also show the Hyers-Ulam constants of these differential equations and give some main results.

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