3 problems
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The Halanay–Smith criterion for strong stability with distributed delays
Halanay–Smith criterion. Let . The following statements are equivalent:
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The fixed-mean discrete-delay conjecture
Consider the linear retarded functional differential equation … where and is a probability distribution of delays. Fix the mean of . Fixed-mean disc…
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The single-Dirac-measure conjecture on destabilizing delay distributions
Consider the linear retarded functional differential equation … where and is a cumulative probability distribution function, possibly continuous, discrete…