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Multiple slowly oscillating periodic solutions for $x’(t) = f(x(t-1))$ with negative feedback

Volume 118 / 2016

Benjamin Kennedy, Eugen Stumpf 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.

Authors

  • Benjamin KennedyDepartment of Mathematics
    Gettysburg College
    300 North Washington St.
    Gettysburg, PA 17325-1400, U.S.A.
    e-mail
  • Eugen StumpfDepartment of Mathematics
    Hamburg University
    Bundesstraße 55
    20146 Hamburg, Germany
    e-mail

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