TY - JOUR
T1 - Hyers-Ulam Stability of First Order Nonhomogeneous Linear Dynamic Equations on Time Scales
AU - Shen , Yonghong
AU - Li , Yongjin
JO - Communications in Mathematical Research 
VL - 2
SP - 139
EP - 148
PY - 2019
DA - 2019/12
SN - 35
DO - http://doi.org/10.13447/j.1674-5647.2019.02.05
UR - https://global-sci.org/intro/article_detail/cmr/13484.html
KW - Hyers-Ulam stability, ∆-derivative, time scale, linear dynamic equation
AB - <p style="text-align: justify;">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, <strong>51</strong>: 198–210).</p>