On stability of linear neutral differential equations with variable delays
- Berezansky, Leonid
- Braverman, Elena
DOIAbstract
summary:We present a review of known stability tests and new explicit exponential stability conditions for the linear scalar neutral equation with two delays $$ \dot {x}(t)-a(t)\dot {x}(g(t))+b(t)x(h(t))=0, $$ where $$ |a(t)|<1, \quad b(t)\geq 0, \quad h(t)\leq t, \quad g(t)\leq t, $$ and for its generalizations, including equations with more than two delays, integro-differential equations and equations with a distributed delay
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