Mahgoub transform and Hyers-Ulam stability of nth order linear differential equations

AIMS Mathematics

S. Deepa¹  S. Bowmiya²  A. Ganesh³  Vediyappan Govindan⁴  Choonkil Park⁵  Jung Rye Lee⁶ 

[1] 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;

关键词: mahgoub transform;    hyers-ulam stability;    n^th order linear differential equation;    functional equation;   

DOI  :  10.3934/math.2022278

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown