arXiv:0806.3234 [math.DS]AbstractReferencesReviewsResources
New Stability Conditions for Linear Differential Equations with Several Delays
Leonid Berezansky, Elena Braverman
Published 2008-06-19Version 1
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.
Comments: 19 pages
Journal: Abstr. Appl. Anal. 2011, Art. ID 178568, 19 pp
Subjects: 34K20
Keywords: linear differential equations, stability conditions, nonautonomous linear delay differential equation, scalar nonautonomous linear delay differential, exponential stability
Tags: journal article
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