“…Since then, the study on dynamic equations on time scales has received much attention of many scholars. For example, in DaCunha ( 2005 ), the author studied the stability of the following linear dynamic equation on time scales: In Du and Tien ( 2007 ), the authors obtained some conditions ensuring the stability of the trivial solution for the following dynamic equation on time scales: For other studies on dynamic equations on time scales, we refer the reader to Bohner and Peterson ( 2001 ), Graef and Hill ( 2015 ), Li and Sun ( 2013 ), Li and Xu ( 2011 ), Lupulescu and Younus ( 2011 ), Su and Feng ( 2014 ), Wang et al. ( 2010 ), Zhang et al.…”