New explicit conditions of exponential stability are obtained for the nonautonomous linear equationover(x, ̇) (t) + underover(∑, k = 1, m) ak (t) x (hk (t)) = 0, where ∑k = 1m ak (t) ≥ 0, hk (t) ≤ t, in particular, for equations with positive and negative coefficients. We apply the comparison method based on the Bohl-Perron type theorem. Exponentially stable delay equations with a positive fundamental function are used for comparison.
- Delay equations
- Exponential stability
- Positive fundamental function
ASJC Scopus subject areas
- Applied Mathematics