Hyers–Ulam stability of first-order linear differential equations using Aboodh transform

Journal of inequalities and applications

Jung Rye Lee¹  Arumugam Ponmana Selvan²  Ramdoss Murali³  Sanmugam Baskaran³  Choonkil Park⁴ 

[1] Department of Data Science, Daejin University, 11159, Kyunggi, Korea;Department of Mathematics, Sri Sai Ram Institute of Technology, 600 044, Chennai, India;PG and Research Department of Mathematics, Sacred Heart College (Autonomous, 635 601, Tirupattur, India;Research Institute for Natural Sciences, Hanyang University, 04763, Seoul, Korea;

关键词: Hyers–Ulam stability;    Mittag-Leffler–Hyers–Ulam–Rassias stability;    Aboodh transform;    Linear differential equation;    34K20;    26D10;    39B82;    44A10;    34A40;    39A30;   

DOI  :  10.1186/s13660-021-02670-3

来源: Springer

【 摘 要 】

The main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of first order with constant coefficients 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.

【 授权许可】

CC BY