3 papers
math.DS2019
Global extinction, dissipativity and persistence for a certain class of differential equations with state-dependent delay
Philipp Getto, Gergely Röst
In this paper we study, at different levels of generality, certain systems of delay differential equations (DDE). One focus and motivation is a system with state-dependent delay (S…
math.DS2019
A continuous semiflow on a space of Lipschitz functions for a differential equation with state-dependent delay from cell biology
István Balázs, Philipp Getto, Gergely Röst
We establish variants of existing results on existence, uniqueness and continuous dependence for a class of delay differential equations (DDE). We apply these to continue the analy…
math.CA2014
A differential equation with state-dependent delay from cell population biology
Philipp Getto, Marcus Waurick
We analyze a differential equation with a state-dependent delay that is implicitly defined via the solution of an ODE. The equation describes an established though little analyzed…