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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.

##### MSC:
 34K20 Stability theory of functional-differential equations
##### Keywords:
delay-differential equations; stability
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##### References:
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