LAPLACE TRANSFORM AND GENERALIZED HYERS-ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Alqifiary, Qusuay H. ^{[1
,2
]}

Jung, Soon-Mo ^{[3
]}

机构：

[1] Univ Belgrade, Dept Math, Belgrade, Serbia

[2] Univ Al Qadisiyah, Al Diwaniya, Iraq

[3] Hongik Univ, Coll Sci & Technol, Math Sect, Sejong 339701, South Korea

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

新加坡国家研究基金会;

关键词：

Laplace transform method; differential equations; generalized Hyers-Ulam stability; CONSTANT-COEFFICIENTS; 1ST-ORDER; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying the Laplace transform method, we prove that the linear differential equation y((n))(t) + (n-1)Sigma(k=0) alpha(k)y((k)) (t) = f(t) has the generalized Hyers-Ulam stability, where alpha(k) is a scalar, y and f are n times continuously differentiable and of exponential order.

引用

页数：11

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