New Stability Conditions for Linear Differential Equations with Several Delays

Leonid Berezansky and Elena Braverman

Abstract and Applied Analysis, 2011, vol. 2011, 1-19

Abstract:

New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation ∑ ̇ 𠑥 ( 𠑡 ) + 𠑚 𠑘 = 1 𠑎 𠑘 ( 𠑡 ) 𠑥 ( ℎ 𠑘 ( 𠑡 ) ) = 0 with measurable delays and coefficients. These results are compared to known stability tests.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:178568

DOI: 10.1155/2011/178568

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