Invariance of Hyers-Ulam stability of linear differential equations and its applications

被引：19

作者：

Choi, Ginkyu ^{[1
]}

Jung, Soon-Mo ^{[2
]}

机构：

[1] Hongik Univ, Coll Sci & Technol, Dept Elect & Elect Engn, Sejong 339701, South Korea

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

基金：

新加坡国家研究基金会;

关键词：

Hyers-Ulam stability; generalized Hyers-Ulam stability; linear differential equation; Cauchy-Euler equation; approximation; CONSTANT-COEFFICIENTS; 1ST-ORDER;

D O I：

10.1186/s13662-015-0617-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the generalized Hyers-Ulam stability of linear differential equations of nth order (defined on I) is invariant under any monotone one-to-one correspondence iota : I -> J which is n times continuously differentiable. Moreover, using this result, we investigate the generalized Hyers-Ulam stability of the linear differential equation of second order and the Cauchy-Euler equation.

引用

页数：14

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