Periodic solutions with long period for the Mackey–Glass equation

The limiting version of the Mackey–Glass delay differential equation $x'(t)=-ax(t)+bf(x(t-1))$ is considered where $a,b$ are positive reals, and $f(\xi)=\xi$ for $\xi\in[0,1)$, $f(1)=1/2$, and $f(\xi)=0$ for $\xi> 1$. For every $a>0$ we prove the existence of an $\varepsilon_0=\varepsi...

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Bibliographic Details
Main Author: Tibor Krisztin
Format: Article
Language:English
Published: University of Szeged 2020-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8940