On stability of a first-order complex delay differential equation. (English) Zbl 1010.34073

The linear first-order delay-differential equation \[ \dot x(t)=px(t)+qx(t-\tau)\tag{1} \] is considered, where \(p\) and \(q\) are complex constants and \(\tau\) is a positive constant. Here, the authors derive criteria for the zero solution to (1) to be asymptotically stable.


34K20 Stability theory of functional-differential equations
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