Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations

被引：9

作者：

Javadian, A. ^{[3
]}

Sorouri, E. ^{[2
]}

Kim, G. H. ^{[1
]}

Gordji, M. Eshaghi ^{[2
]}

机构：

[1] Kangnam Univ, Dept Math, Yongin 446702, Gyeonggi, South Korea

[2] Semnan Univ, Dept Math, Semnan, Iran

[3] Semnan Univ, Dept Phys, Semnan, Iran

来源：

JOURNAL OF APPLIED MATHEMATICS | 2011年

基金：

新加坡国家研究基金会;

关键词：

1ST-ORDER;

D O I：

10.1155/2011/813137

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the generalized Hyers-Ulam stability of the 2nd-order linear differential equation of the form y '' + p(x)y' + q(x)y = f(x), with condition that there exists a nonzero y(1) : I -> X in C(2)(I) such that y(1)'' + p(x)y(1)' + q(x)y(1) = 0 and I is an open interval. As a consequence of our main theorem, we prove the generalized Hyers-Ulam stability of several important well-known differential equations.

引用

页数：10

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