Showing 2018 · math.DSShow all
2 papers · 2 filters
math.DS2018
Delay-induced blow-up in a planar oscillation model
Alexey Eremin, Emiko Ishiwata, Tetsuya Ishiwata +1
In this paper we study a system of delay differential equations from the viewpoint of a finite time blow-up of the solution. We prove that the system admits a blow-up solution, no…
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>…