We prove that under some additional conditions, the nonoscillation of the scalar delay differential equation ẋ(t) + ∑ k=1 m a k (t)x(h k(t)) = 0 implies the exponential stability. New nonoscillation conditions are obtained for equations with positive and negative coefficients and for equations of arbitrary signs. As an example, we present an exponentially stable equation with two delays and two oscillating coefficients.
- Exponential stability
- Linear delay equations
- Oscillating coefficients
- Positive fundamental function