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**New stability conditions for linear differential equations with several delays.**
*(English)*
Zbl 1222.34089

Summary: New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation

\[ \dot x (t) + \sum^m_{k=1} a_k(t)x(h_k(t))=0 \]

with measurable delays and coefficients. These results are compared with known stability tests.

\[ \dot x (t) + \sum^m_{k=1} a_k(t)x(h_k(t))=0 \]

with measurable delays and coefficients. These results are compared with known stability tests.

### MSC:

34K20 | Stability theory of functional-differential equations |

34K06 | Linear functional-differential equations |

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\textit{L. Berezansky} and \textit{E. Braverman}, Abstr. Appl. Anal. 2011, Article ID 178568, 19 p. (2011; Zbl 1222.34089)

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