Geodesic
Multiple slowly oscillating periodic solutions for $x’(t) = f(x(t-1))$ with negative feedback
Benjamin Kennedy1 ; Eugen Stumpf2
1 Department of Mathematics Gettysburg College 300 North Washington St. Gettysburg, PA 17325-1400, U.S.A.
2 Department of Mathematics Hamburg University Bundesstraße 55 20146 Hamburg, Germany
Annales Polonici Mathematici, Tome 118 (2016) no. 2-3, pp. 113-140.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap3899-10-2016
Keywords: consider prototype equation begin equation* prime t end equation* delayed negative feedback review known results uniqueness nonuniqueness slowly oscillating periodic solutions present results examples

Benjamin Kennedy 1 ; Eugen Stumpf 2

1 Department of Mathematics Gettysburg College 300 North Washington St. Gettysburg, PA 17325-1400, U.S.A.
2 Department of Mathematics Hamburg University Bundesstraße 55 20146 Hamburg, Germany 
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Benjamin Kennedy; Eugen Stumpf. Multiple slowly oscillating periodic solutions for $x’(t) = f(x(t-1))$ with negative feedback. Annales Polonici Mathematici, Tome 118 (2016) no. 2-3, pp. 113-140. doi : 10.4064/ap3899-10-2016. http://geodesic.mathdoc.fr/articles/10.4064/ap3899-10-2016/

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