Stability criteria for certain second-order delay differential equations with mixed coefficients
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摘要
In this paper, we study asymptotic stability of the zero solution of the second-order linear delay differential equation:y″(t)=p1y′(t)+p2y′(t−τ)+q1y(t)+q2y(t−τ),where p1, p2, q1, and q2 are constants with p1p2⩾0 and q1q2<0. Here τ>0 is a constant. In proving our results we make use of Pontryagin's theory of quasi-polynomials.
论文关键词：45E99,34D99,Asymptotic stability,Stability criteria,Sufficient conditions,Delay,Characteristic functions,Stability regions
论文评审过程：Received 3 February 2003, Revised 25 October 2003, Available online 24 March 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2003.12.043
