New Stability Conditions for Linear Differential Equations with Several Delays

preprint2008arXivOpen access

Abstract

New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 \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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