On exponential stability of second order delay differential equations

Czechoslovak Mathematical Journal

P. ¹  Ravi ² 

[1] Abraham Maghakyan, Department of Mathematics and Computer Science, Ariel University, Qiryat University, 40700 Ariel, Israel;Texas A&M University, 401 Joe Routt Blvd, Kingsville, TX 78363-8202, Texas, USA

关键词: delay equations;    uniform exponential stability;    exponential estimates of solutions;    Cauchy function;   

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

We propose a new method for studying stability of second order delay differential equations. Results we obtained are of the form: the exponential stability of ordinary differential equation implies the exponential stability of the corresponding delay differential equation if the delays are small enough. We estimate this smallness through the coefficients of this delay equation. Examples demonstrate that our tests of the exponential stability are essentially better than the known ones. This method works not only for autonomous equations but also for equations with variable coefficients and delays.

【 授权许可】

Unknown