HYERS-ULAM STABILITY OF SECOND-ORDER LINEAR DYNAMIC EQUATIONS ON TIME SCALES

查看全文 作　　者：Douglas [1]R.ANDERSON;Masakazu [2]ONITSUKA 机构地区：[1]Department of Mathematics,Concordia College,Moorhead,MN 56562 USA;[2]Department of Applied Mathematics,kayama University of Science,Okayama,700-0005,Japan 出　　处：《Acta Mathematica Scientia》索引2021年第41卷第5期,共18页 基　　金：supported by JSPS KAKENHI Grant Number JP20K03668。 摘　　要：We investigate the Hyers-Ulam stability(HUS)of certain second-order linear constant coefficient dynamic equations on time scales,building on recent results for first-order constant coefficient time-scale equations.In particular,for the case where the roots of the characteristic equation are non-zero real numbers that are positively regressive on the time scale,we establish that the best HUS constant in this case is the reciprocal of the absolute product of these two roots.Conditions for instability are also given. 关 键 词：STABILITY second order Hyers-Ulam time scales