Hyers-Ulam stability of linear functional differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:426

Article

Huang, Jinghao¹  Li, Yongjin¹ 

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

关键词: Hyers-Ulam stability;    Linear delay differential equations;    Differential operators;   

DOI  :  10.1016/j.jmaa.2015.02.018

来源: Elsevier

【 摘 要 】

In this paper, the stability of some classes of linear functional differential equations was discussed by direct method, iteration method, fixed point method and open mapping theorem. It is shown that the Hyers-Ulam stability holds true for y((n)) = g(t)y(t - tau) + h(t). The stability of functional differential equations with multiple delays of first order and general delay differential equations also have been discussed. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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