New Stability Conditions for Linear Differential Equations with Several Delays

Abstract

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