Abstract
New explicit conditions of exponential stability are obtained for the nonautonomous linear equation x ˙ ( t ) + ∑ k = 1 m a k ( t ) x ( h k ( t ) ) = 0 , where ∑ k = 1 m a k ( t ) ⩾ 0 , h k ( 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.
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