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arXiv:1902.08249 [math.DS]AbstractReferencesReviewsResources

A new stability test for linear neutral differential equations

Leonid Berezansky, Elena Braverman

Published 2019-02-21Version 1

We obtain new explicit exponential stability conditions for the linear scalar neutral equation with two bounded delays $ \dot{x}(t)-a(t)\dot{x}(g(t))+b(t)x(h(t))=0, $ where $ 0\leq a(t)\leq A_0<1$, $0<b_0\leq b(t)\leq B$, using the Bohl-Perron theorem and a transformation of the neutral equation into a differential equation with an infinite number of delays. The results are applied to the neutral logistic equation.

Comments: 7 pages
Journal: Appl. Math. Lett. 81 (2018), 79-85
Categories: math.DS
Subjects: 34K40, 34K20, 34K06
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