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Keywords:
exponential stability; nonoscillation; explicit stability condition; perturbation
exponential stability; nonoscillation; explicit stability condition; perturbation
Summary:
We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays $$ \dot {x}(t) + \sum _{k=1}^m a_k(t) x(h_k(t)) = 0, \quad a_k(t) \geq 0 $$ 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.
References:
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