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math.DS2018
A periodic solution of period two of a delay differential equation
Yukihiko Nakata
In this paper we prove that the following delay differential equation \[ \frac{d}{dt}x(t)=rx(t)\left(1-\int_{0}^{1}x(t-s)ds\right), \] has a periodic solution of period two for $r>…
math.DS2017
Unbounded and blow-up solutions for a delay logistic equation with positive feedback
István Győri, Yukihiko Nakata, Gergely Röst
We study bounded, unbounded and blow-up solutions of a delay logistic equation without assuming the dominance of the instantaneous feedback. It is shown that there can exist an exp…