Abstract
We prove that the solution of the cyclic initial value problem u’k = 1/2 - uk/(uk+1 + uk+2) (k Z/nZ), u(0)= x is convergent to an equilibrium μ (x) (1,…,1), and study the properties of the function x → μ(x) and its relation to Shapiro’s inequality.
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© by Gerd Herzog
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