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arxiv: 0806.3234 · v1 · pith:2TWVFUQVnew · submitted 2008-06-19 · 🧮 math.DS · math.CA

New Stability Conditions for Linear Differential Equations with Several Delays

classification 🧮 math.DS math.CA
keywords stabilityconditionsdelaysdifferentiallinearasymptoticcoefficientscompared
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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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