• On periodic solutions and global dynamics in a periodic differential delay equation 

      [OWP-2014-08] Ivanov, Anatoli F.; Trofimchuk, Sergei I. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
      Several aspects of global dynamics and the existence of periodic solutions are studied for the scalar differential delay equation $x'(t) = a(t)f(x([t-K]))$, where $f(x)$ is a continuous negative feedback function, $x \cdot ...
    • Square wave periodic solutions of a differential delay equation 

      [OWP-2014-09] Ivanov, Anatoli F.; Verriest, Erik I. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
      We prove the existence of periodic solutions of the differential delay equation $\varepsilon\dot{x}(t) + x(t)= f(x(t-1)), \varepsilon>0$ under the assumptions that the continuous nonlinearity $f(x)$ satisfies the negative ...