×

Explicit asymptotic stability criteria for neutral differential equations with two delays. (English) Zbl 1006.34067

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.

MSC:

34K20 Stability theory of functional-differential equations
34K40 Neutral functional-differential equations
PDFBibTeX XMLCite
Full Text: EuDML EMIS