Best constant for Hyers-Ulam stability of two step sizes linear difference equations

被引：10

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：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 496卷 / 02期

关键词：

Best constant; Hyers-Ulam stability; Two step sizes; Difference equations; Dynamic equations; DYNAMIC EQUATIONS;

D O I：

10.1016/j.jmaa.2020.124807

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study deals with the Hyers-Ulam stability (HUS) for the first-order linear difference equations with two alternating step sizes, where the coefficient is allowed to be complex valued. In particular, it turns out that the best HUS constant can be determined by finding an explicit solution to the corresponding inhomogeneous linear equation. Special cases of these results validate previous literature in the field. (C) 2020 The Authors. Published by Elsevier Inc.

引用

页数：17

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