Hyers-Ulam stability for a discrete time scale with two step sizes

被引：17

作者：

Anderson, Douglas R. ^{[1
]}

Onitsuka, Masakazu ^{[2
]}

机构：

[1] Concordia Coll, Dept Math, Moorhead, MN 56562 USA

[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 344卷

关键词：

Stability; First order; Hyers-Ulam; Time scales; Exponential function with alternating sign; Approximate solution; LINEAR DYNAMIC EQUATIONS; RECURRENCE;

D O I：

10.1016/j.amc.2018.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We clarify the Hyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, in the case of a specific time scale with two alternating step sizes, where the exponential function changes sign. In particular, in the case of HUS, we discuss the HUS constant, and whether a minimal HUS constant can be found. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：128 / 140

页数：13

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