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arXiv:0806.3234 [math.DS]AbstractReferencesReviewsResources

New Stability Conditions for Linear Differential Equations with Several Delays

Leonid Berezansky, Elena Braverman

Published 2008-06-19Version 1

New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation $$ \dot{x}(t)+\sum_{k=1}^m a_k(t)x(h_k(t))=0 $$ with measurable delays and coefficients. These results are compared to known stability tests.

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