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Research Article | Open Access

Mahgoub transform and Hyers-Ulam stability of n t h order linear differential equations

S. Deepa1, S. Bowmiya2, A. Ganesh3, Vediyappan Govindan4, Choonkil Park5( ), Jung Rye Lee6( )
Department of Mathematics, Adhiyamaan College of Engineering and Technology, Hosur-365109, Tamilnadu, India
Department of Mathematics, Unique College of Arts and Sciences, Karapattu, Tamilnadu, India
Department of Mathematics, Government Arts and Science College (Model College), Hosur-365109, Tamilnadu, India
Department of Mathematics, Dmi St John The Baptist University, Mangochi 409, Central Africa, Malawi
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Department of Data Sciences, Daejin University, Kyunggi 11159, Korea
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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 t h 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.

Keywords

Mahgoub transformHyers-Ulam stabilitynth order linear differential equationfunctional equation
CLC number: 26D10, 34A40, 34K20, 39A30, 39B82, 44A10

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 4992-5014
DOI: 10.3934/math.2022278

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Cite this article:
Deepa S, Bowmiya S, Ganesh A, et al. Mahgoub transform and Hyers-Ulam stability of n t h order linear differential equations. AIMS Mathematics, 2022, 7(4): 4992-5014. https://doi.org/10.3934/math.2022278

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Received: 29 October 2021
Revised: 16 December 2021
Accepted: 21 December 2021
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)