New Stability Conditions for Linear Differential Equations with Several Delays

Details New Stability Conditions for Linear Differential Equations with Several Delays New Stability Conditions for Linear Differential Equations with Several Delays

2008-06-19

arxiv.org/abs/0806.3234v1

Mathematics

Dynamical Systems

19 pages

Scientific paper

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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