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Preservation of exponential stability for equations with several delays

Leonid Berezansky, Elena Braverman (2011)

Mathematica Bohemica

We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays x ˙ ( t ) + k = 1 m a k ( t ) x ( h k ( t ) ) = 0 , a k ( t ) 0 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.

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