Ren, Hongshan; Li, Hongyan Explicit asymptotic stability criteria for neutral differential equations with two delays. (English) Zbl 1006.34067 Appl. Math. E-Notes 2, 1-9 (2002). The following equation \[ x'(t)+cx'(t-2\tau)+ax(t)+ax(t-\tau)=0\tag{1} \] is considered. Here, \(a\), \(c\) and \(\tau\) are constants, \(c\neq 0\) and \(\tau>0\). The authors establish necessary and sufficient conditions for the asymptotic stability of equation (1), and show that the trivial solution to equation (1) is asymptotically stable if and only if it is exponentially asymptotically stable. Reviewer: Alexander Olegovich Ignatyev (Donetsk) Cited in 2 Documents MSC: 34K20 Stability theory of functional-differential equations 34K40 Neutral functional-differential equations Keywords:neutral differential equations; stability PDFBibTeX XMLCite \textit{H. Ren} and \textit{H. Li}, Appl. Math. E-Notes 2, 1--9 (2002; Zbl 1006.34067) Full Text: EuDML EMIS