A new stability test for linear neutral differential equations
Abstract
We obtain new explicit exponential stability conditions for the linear scalar neutral equation with two bounded delays x(t)-a(t)x(g(t))+b(t)x(h(t))=0, where 0≤ a(t)≤ A0<1, 0<b0≤ b(t)≤ 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.
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