The inhomogeneous Euler equation and its Hyers-Ulam stability

被引：13
|
作者：
Mortici, Cristinel [1 ]
Rassias, Themistocles M. [2 ]
Jung, Soon-Mo [3 ]
机构：
[1] Valahia Univ Targoviste, Targoviste 130082, Romania
[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
[3] Hongik Univ, Coll Sci & Technol, Math Sect, Sejong 339701, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 40卷
基金：
新加坡国家研究基金会;
关键词：
Euler differential equation; Hyers-Ulam stability; Inequalities; DIFFERENTIAL-EQUATIONS; APPROXIMATION;
D O I：
10.1016/j.aml.2014.09.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we solve the inhomogeneous Euler differential equation, x(2)y ''(x) + alpha xy'(x) + beta y(x) = f (x), and prove the Hyers-Ulam stability of that equation on a bounded domain by using the integration method. Our results extend the results of Jung and Min (2009). (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：23 / 28
页数：6
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