Stability Threshold for Scalar Linear Periodic Delay Differential Equations
Keyword(s):
AbstractWe prove that for the linear scalar delay differential equationwith non-negative periodic coefficients of period P > 0, the stability threshold for the trivial solution is , assuming that b(t+1)−a(t) does not change its sign. By constructing a class of explicit examples, we show the counter-intuitive result that, in general, r = 0 is not a stability threshold.
1986 ◽
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