Multiple slowly oscillating periodic solutions for $x’(t) = f(x(t-1))$ with negative feedback
Volume 118 / 2016
Annales Polonici Mathematici 118 (2016), 113-140
MSC: Primary 34K13, 34C25; Secondary 37C25.
DOI: 10.4064/ap3899-10-2016
Published online: 16 December 2016
Abstract
We consider the prototype equation \begin{equation*} x^{\prime}(t)=f(x(t-1)) \end{equation*} for delayed negative feedback. We review known results on uniqueness and nonuniqueness of slowly oscillating periodic solutions, and present some new results and examples.