We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays
under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.
We present a review of known stability tests and new explicit exponential stability conditions for the linear scalar neutral equation with two delays
where
and for its generalizations, including equations with more than two delays, integro-differential equations and equations with a distributed delay.
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