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math.AP2012
Minimal periods of semilinear evolution equations with Lipschitz nonlinearity revisited
James C. Robinson, Alejandro Vidal-López
We obtain a lower bound for the period of periodic solutions of semilinear evolution equations for the full range of nonlinear terms for which standard local existence theory appli…
math.CA2012★ 2 cited
Minimal Periods for Ordinary Differential Equations in Strictly Convex Banach Spaces and Explicit Bounds for some l^p-Spaces
Michaela A. C. Nieuwenhuis, James C. Robinson, Stefan Steinerberger
Let x(t) be a non-constant T-periodic solution to the ordinary differential equation x'= f(x) in a Banach space X where f is assumed to be Lipschitz continuous with constant L. The…