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GLOBAL ATTRACTIVITY OF THE ZERO SOLUTION FOR WRIGHT’S EQUATION
"... In a paper published in 1955, E.M. Wright proved that all solutions of the delay differential equation z ′ (t) = −αz(t − 1)(1 + z(t)) converge to zero for α ∈ [0,1.5], and conjectured that this is even true for α ∈ [0,π/2]. The present paper provides a computerassisted proof that for α ∈ [1.5,1. ..."
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In a paper published in 1955, E.M. Wright proved that all solutions of the delay differential equation z ′ (t) = −αz(t − 1)(1 + z(t)) converge to zero for α ∈ [0,1.5], and conjectured that this is even true for α ∈ [0,π/2]. The present paper provides a computerassisted proof that for α ∈ [1.5,1.5705], this delay differential equation has no periodic solution with an amplitude larger than a particular, explicit number. This means a proof for more than 99.5 % of what was conjectured by E.M. Wright.