Author:
Deepa S., ,Bowmiya S.,Ganesh A.,Govindan Vediyappan,Park Choonkil,Lee Jung Rye, , , , ,
Abstract
<abstract><p>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.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference28 articles.
1. S. Aggarwal, Comparative study of Mohand and Mahgoub transforms, J. Adv. Res. Appl. Math. Stat., 4 (2019), 1–7.
2. S. Aggarwal, R. Chauhan, N. Sharma, A new application of Mahgoub transform for solving linear Volterra integral equations, Asian Resonance, 7 (2018), 46–48.
3. Q. H. Alqifiary, S. Jung, Laplace transform and generalized Hyers-Ulam stability of linear differential equations, Electron. J. Diff. Equ., 2014 (2014), 80.
4. C. Alsina, R. Ger, On some inequalities and stability results related to the exponential function, J. Inequal. Appl., 2 (1998), 373–380.
5. T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan, 2 (1950), 64–66. https://doi.org/10.2969/jmsj/00210064
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