On stability of linear neutral differential equations in the Hale form

Abstract

We present new explicit exponential stability conditions for the linear scalar neutral equation with two variable coefficients and delays $$(x(t)-a(t)x(g(t)){)}^{\prime }=-b(t)x(h(t)),$$ where $|a(t)|<1$, $b(t)\ge 0$, $h(t)\le t$, $g(t)\le t$, in the case when the delays $t-h(t)$, $t-g(t)$ are bounded, as well as an asymptotic stability condition, if the delays can be unbounded.

14 pages

References in corpus (1)

• A new stability test for linear neutral differential equations