On the stability of the linear differential equation of higher order with constant coefficients

被引：54

作者：

Cimpean, Dalia Sabina ^{[1
]}

Popa, Dorian ^{[1
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400020, Romania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 08期

关键词：

Aoki-Rassias stability; Hyers-Ulam stability; Differential equation; HYERS-ULAM STABILITY; 1ST-ORDER; OPERATORS;

D O I：

10.1016/j.amc.2010.09.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a result on stability of the linear differential equation of higher order with constant coefficients in Aoki-Rassias sense. As a consequence we obtain the Hyers-Ulam stability of the above mentioned equation. A connection with dynamical sytems perturbation is established. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4141 / 4146

页数：6

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