Year: 2019
Author: Yonghong Shen, Yongjin Li
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 139–148
Abstract
This paper deals with the Hyers-Ulam stability of the nonhomogeneous linear dynamic equation $x^{\Delta}(t)-a x(t)=f(t)$, where $a\in\mathcal{R}^{+}$. The main results can be regarded as a supplement of the stability results of the corresponding homogeneous linear dynamic equation obtained by Anderson and Onitsuka (Anderson D R, Onitsuka M. Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. $Demonstratio$ $Math$., 2018, 51: 198–210).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.02.05
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 139–148
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Hyers-Ulam stability ∆-derivative time scale linear dynamic equation